Comptes Rendus
no. S3
Vortices in dipolar Bose–Einstein condensates
[Tourbillons dans un condensat de Bose–Einstein dipolaire]
Thomas Bland1  ; Giacomo Lamporesi2  ; Manfred J. Mark1, 3  ; Francesca Ferlaino1, 3  
1 Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria
2 Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, I-38123, Trento, Italy
3 Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21a, 6020 Innsbruck, Austria
Comptes Rendus. Physique, Online first (2023), pp. 1-20.

Les vortex quantiques sont un marqueur fort de la superfluidité, et sont souvent recherchés comme première caractéristique observable dans les nouveaux systèmes superfluides. Suite aux récentes observations de vortex dans des condensats de Bose–Einstein constitués d’atomes en interaction intrinsèquement à longue portée [Nat. Phys. 18, 1453-1458 (2022)], nous étudions en détail les propriétés des vortex dans le régime dominé par les interactions dipolaires tridimensionnelles et dont la stabilité dépend crucialement des effets au-delà du champ moyen, et nous étudions l’influence de la géométrie du piège et de l’angle d’inclinaison du champ magnétique.

Quantized vortices are the hallmark of superfluidity, and are often sought out as the first observable feature in new superfluid systems. Following the recent experimental observation of vortices in Bose–Einstein condensates comprised of atoms with inherent long-range dipole-dipole interactions [Nat. Phys. 18, 1453-1458 (2022)], we thoroughly investigate vortex properties in the three-dimensional dominantly dipolar regime, where beyond-mean-field effects are crucial for stability, and investigate the interplay between trap geometry and magnetic field tilt angle.

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DOI : 10.5802/crphys.160
Keywords: Ultracold atoms, quantum vortices, long-range interactions, supersolidity
Mot clés : Atomes ultrafroids, vortex quantiques, interactions à longue portée, supersolidité
Thomas Bland 1 ; Giacomo Lamporesi 2 ; Manfred J. Mark 1, 3 ; Francesca Ferlaino 1, 3

1 Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria
2 Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, I-38123, Trento, Italy
3 Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21a, 6020 Innsbruck, Austria
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     journal = {Comptes Rendus. Physique},
     publisher = {Acad\'emie des sciences, Paris},
     year = {2023},
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     language = {en},
     note = {Online first},
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Thomas Bland; Giacomo Lamporesi; Manfred J. Mark; Francesca Ferlaino. Vortices in dipolar Bose–Einstein condensates. Comptes Rendus. Physique, Online first (2023), pp. 1-20. doi : 10.5802/crphys.160.

[1] L. Onsager Statistical hydrodynamics, Il Nuovo Cimento (1943-1954), Volume 6 (1949) no. 2, pp. 279-287 | DOI | MR

[2] R. P. Feynman Chapter II Application of Quantum Mechanics to Liquid Helium (C.J. Gorter, ed.) (Progress in Low Temperature Physics), Volume 1, Elsevier, 1955, pp. 17-53 | DOI

[3] G. Careri; S. Cunsolo; P. Mazzoldi Critical Drift Velocity of Ions in Liquid Helium, Phys. Rev. Lett., Volume 7 (1961) no. 5, pp. 151-153 | DOI

[4] G. W. Rayfield; F. Reif Evidence for The Creation and Motion of Quantized Vortex Rings in Superfluid Helium, Phys. Rev. Lett., Volume 11 (1963) no. 7, pp. 305-308 | DOI

[5] Richard E. Packard; T. M. Sanders Observations on Single Vortex Lines in Rotating Superfluid Helium, Phys. Rev. A, Volume 6 (1972) no. 2, pp. 799-807 | DOI

[6] E. J. Yarmchuk; M. J. V. Gordon; Richard E. Packard Observation of Stationary Vortex Arrays in Rotating Superfluid Helium, Phys. Rev. Lett., Volume 43 (1979) no. 3, pp. 214-217 | DOI

[7] M. R. Matthews; Brian P. Anderson; P. C. Haljan; D. S. Hall; C. E. Wieman; E. A. Cornell Vortices in a Bose–Einstein condensate, Phys. Rev. Lett., Volume 83 (1999) no. 13, pp. 2498-2501 | DOI

[8] K. W. Madison; F. Chevy; W. Wohlleben; Jean Dalibard Vortex formation in a stirred Bose–Einstein condensate, Phys. Rev. Lett., Volume 84 (2000) no. 5, pp. 806-809 | DOI

[9] J. R. Abo-Shaeer; C. Raman; J. M. Vogels; Wolfgang Ketterle Observation of vortex lattices in Bose-Einstein condensates, Science, Volume 292 (2001) no. 5516, pp. 476-479 | DOI

[10] I. Coddington; P. Engels; V. Schweikhard; E. A. Cornell Observation of Tkachenko oscillations in rapidly rotating Bose–Einstein condensates, Phys. Rev. Lett., Volume 91 (2003) no. 10, 100402 | DOI

[11] Brian P. Anderson; P. C. Haljan; C. A. Regal; D. L. Feder; L. A. Collins; C. W. Clark; E. A. Cornell Watching dark solitons decay into vortex rings in a Bose-Einstein condensate, Phys. Rev. Lett., Volume 86 (2001) no. 14, pp. 2926-2929 | DOI

[12] Mark J. H. Ku; Biswaroop Mukherjee; Tarik Yefsah; Martin W. Zwierlein Cascade of Solitonic Excitations in a Superfluid Fermi gas: From Planar Solitons to Vortex Rings and Lines, Phys. Rev. Lett., Volume 116 (2016) no. 4, 045304 | DOI

[13] Zoran Hadzibabic; Peter Krüger; Marc Cheneau; Baptiste Battelier; Jean Dalibard Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas, Nature, Volume 441 (2006) no. 7097, pp. 1118-1121 | DOI

[14] David R. Scherer; Chad N. Weiler; Tyler W. Neely; Brian P. Anderson Vortex Formation by Merging of Multiple Trapped Bose–Einstein Condensates, Phys. Rev. Lett., Volume 98 (2007) no. 11, 110402 | DOI

[15] M. Aidelsburger; J. L. Ville; R. Saint-Jalm; Sylvain Nascimbène; Jean Dalibard; Jérôme Beugnon Relaxation Dynamics in the Merging of N Independent Condensates, Phys. Rev. Lett., Volume 119 (2017) no. 19, 190403 | DOI

[16] Simone Donadello; Simone Serafini; Marek Tylutki; Lev P. Pitaevskii; Franco Dalfovo; Giacomo Lamporesi; Gabriele Ferrari Observation of solitonic vortices in Bose–Einstein condensates, Phys. Rev. Lett., Volume 113 (2014) no. 6, 065302 | DOI

[17] Laura Corman; Lauriane Chomaz; Tom Bienaimé; Rémi Desbuquois; Christof Weitenberg; Sylvain Nascimbène; Jean Dalibard; Jérôme Beugnon Quench-induced supercurrents in an annular Bose gas, Phys. Rev. Lett., Volume 113 (2014) no. 13, 135302 | DOI

[18] Y.-J. Lin; R. L. Compton; K. Jimenez-Garcia; J. V. Porto; Ian B. Spielman Synthetic magnetic fields for ultracold neutral atoms, Nature, Volume 462 (2009) no. 7273, pp. 628-632 | DOI

[19] Tyler W. Neely; E. C. Samson; Ashton S. Bradley; Matthew J. Davis; Brian P. Anderson Observation of vortex dipoles in an oblate Bose–Einstein condensate, Phys. Rev. Lett., Volume 104 (2010) no. 16, 160401 | DOI

[20] Woo Jin Kwon; Geol Moon; Jae-yoon Choi; Sang Won Seo; Yong-il Shin Relaxation of superfluid turbulence in highly oblate Bose–Einstein condensates, Phys. Rev. A, Volume 90 (2014) no. 6, 063627 | DOI

[21] G. Del Pace; K. Xhani; A. Muzi Falconi; M. Fedrizzi; N. Grani; D. Hernandez Rajkov; M. Inguscio; F. Scazza; Woo Jin Kwon; G. Roati Imprinting Persistent Currents in Tunable Fermionic Rings, Phys. Rev. X, Volume 12 (2022) no. 4, 041037 | DOI

[22] K. C. Wright; R. B. Blakestad; C. J. Lobb; W. D. Phillips; G. K. Campbell Driving Phase Slips in a Superfluid Atom Circuit with a Rotating Weak Link, Phys. Rev. Lett., Volume 110 (2013) no. 2, 025302 | DOI

[23] P. C. Haljan; I. Coddington; P. Engels; E. A. Cornell Driving Bose–Einstein-Condensate Vorticity with a Rotating Normal Cloud, Phys. Rev. Lett., Volume 87 (2001) no. 21, 210403 | DOI

[24] P. Engels; I. Coddington; P. C. Haljan; E. A. Cornell Nonequilibrium effects of anisotropic compression applied to vortex lattices in Bose–Einstein condensates, Phys. Rev. Lett., Volume 89 (2002) no. 10, 100403 | DOI

[25] V. Schweikhard; I. Coddington; P. Engels; S. Tung; E. A. Cornell Vortex-Lattice Dynamics in Rotating Spinor Bose–Einstein Condensates, Phys. Rev. Lett., Volume 93 (2004) no. 21, 210403 | DOI

[26] A. Muñoz Mateo; J. Brand Chladni Solitons and the Onset of the Snaking Instability for Dark Solitons in Confined Superfluids, Phys. Rev. Lett., Volume 113 (2014) no. 25, 255302 | DOI

[27] Hikaru Tamura; Cheng-An Chen; Chen-Lung Hung Observation of self-patterned defect formation in atomic superfluids – from ring dark solitons to vortex dipole necklaces (2022) (preprint, arXiv:2211.08575) | DOI

[28] Jae-yoon Choi; Sang Won Seo; Yong-il Shin Observation of Thermally Activated Vortex Pairs in a Quasi-2D Bose Gas, Phys. Rev. Lett., Volume 110 (2013) no. 17, 175302 | DOI

[29] V. Schweikhard; S. Tung; E. A. Cornell Vortex Proliferation in the Berezinskii–Kosterlitz–Thouless Regime on a Two-Dimensional Lattice of Bose–Einstein Condensates, Phys. Rev. Lett., Volume 99 (2007) no. 3, 030401 | DOI

[30] M. R. Andrews; C. G. Townsend; H.-J. Miesner; D. S. Durfee; D. M. Kurn; Wolfgang Ketterle Observation of Interference Between Two Bose Condensates, Science, Volume 275 (1997) no. 5300, pp. 637-641 | DOI

[31] Zoran Hadzibabic; Sabine Stock; Baptiste Battelier; Vincent Bretin; Jean Dalibard Interference of an Array of Independent Bose–Einstein Condensates, Phys. Rev. Lett., Volume 93 (2004) no. 18, 180403 | DOI

[32] L. E. Sadler; J. M. Higbie; S. R. Leslie; M. Vengalattore; D. M. Stamper-Kurn Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose–Einstein condensate, Nature, Volume 443 (2006) no. 7109, pp. 312-315 | DOI

[33] Chad N. Weiler; Tyler W. Neely; David R. Scherer; Ashton S. Bradley; Matthew J. Davis; Brian P. Anderson Spontaneous vortices in the formation of Bose–Einstein condensates, Nature, Volume 455 (2008) no. 7215, pp. 948-951 | DOI

[34] Giacomo Lamporesi; Simone Donadello; Simone Serafini; Franco Dalfovo; Gabriele Ferrari Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate, Nat. Phys., Volume 9 (2013) no. 10, pp. 656-660 | DOI

[35] Nir Navon; Alexander L. Gaunt; Robert P. Smith; Zoran Hadzibabic Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas, Science, Volume 347 (2015) no. 6218, pp. 167-170 | DOI

[36] Lauriane Chomaz; Laura Corman; Tom Bienaimé; Rémi Desbuquois; Christof Weitenberg; Sylvain Nascimbène; Jérôme Beugnon; Jean Dalibard Emergence of coherence via transverse condensation in a uniform quasi-two-dimensional Bose gas, Nat. Commun., Volume 6 (2015) no. 1, 6162 | DOI

[37] Simone Donadello; Simone Serafini; Tom Bienaimé; Franco Dalfovo; Giacomo Lamporesi; Gabriele Ferrari Creation and counting of defects in a temperature-quenched Bose–Einstein condensate, Phys. Rev. A, Volume 94 (2016) no. 2, 023628 | DOI

[38] Junhong Goo; Younghoon Lim; Yong-il Shin Defect Saturation in a Rapidly Quenched Bose Gas, Phys. Rev. Lett., Volume 127 (2021) no. 11, 115701 | DOI

[39] Jean Dalibard; Fabrice Gerbier; Gediminas Juzeliūnas; Patrik Öhberg Colloquium: Artificial gauge potentials for neutral atoms, Rev. Mod. Phys., Volume 83 (2011) no. 4, pp. 1523-1543 | DOI

[40] Richard J. Fletcher; Airlia Shaffer; Cedric C. Wilson; Parth B. Patel; Zhenjie Yan; Valentin Crépel; Biswaroop Mukherjee; Martin W. Zwierlein Geometric squeezing into the lowest Landau level, Science, Volume 372 (2021) no. 6548, pp. 1318-1322 | DOI | MR | Zbl

[41] Biswaroop Mukherjee; Airlia Shaffer; Parth B. Patel; Zhenjie Yan; Cedric C. Wilson; Valentin Crépel; Richard J. Fletcher; Martin W. Zwierlein Crystallization of bosonic quantum Hall states in a rotating quantum gas, Nature, Volume 601 (2022) no. 7891, pp. 58-62 | DOI

[42] Tyler W. Neely; Ashton S. Bradley; E. C. Samson; S. J. Rooney; E. M. Wright; K. J. H. Law; R. Carretero-González; P. G. Kevrekidis; Matthew J. Davis; Brian P. Anderson Characteristics of two-dimensional quantum turbulence in a compressible superfluid, Phys. Rev. Lett., Volume 111 (2013) no. 23, 235301 | DOI

[43] Guillaume Gauthier; Matthew T. Reeves; Xiaoquan Yu; Ashton S. Bradley; Mark A. Baker; Thomas A. Bell; Halina Rubinsztein-Dunlop; Matthew J. Davis; Tyler W. Neely Giant vortex clusters in a two-dimensional quantum fluid, Science, Volume 364 (2019) no. 6447, pp. 1264-1267 | DOI | MR | Zbl

[44] Woo Jin Kwon; G. Del Pace; K. Xhani; Luca Galantucci; A. Muzi Falconi; M. Inguscio; F. Scazza; G. Roati Sound emission and annihilations in a programmable quantum vortex collider, Nature, Volume 600 (2021) no. 7887, pp. 64-69 | DOI

[45] E. A. L. Henn; J. A. Seman; G. Roati; K. M. F. Magalhães; V. S. Bagnato Emergence of Turbulence in an Oscillating Bose–Einstein Condensate, Phys. Rev. Lett., Volume 103 (2009) no. 4, 045301 | DOI

[46] Nir Navon; Alexander L. Gaunt; Robert P. Smith; Zoran Hadzibabic Emergence of a turbulent cascade in a quantum gas, Nature, Volume 539 (2016) no. 7627, pp. 72-75 | DOI

[47] Joon Hyun Kim; Sang Won Seo; Yong-il Shin Critical Spin Superflow in a Spinor Bose–Einstein Condensate, Phys. Rev. Lett., Volume 119 (2017) no. 18, 185302 | DOI

[48] J. Denschlag; J. E. Simsarian; D. L. Feder; C. W. Clark; L. A. Collins; J. Cubizolles; L. Deng; E. W. Hagley; W. P. Helmerson; S. L. Rolston; B. I. Schneider; W. D. Phillips Generating solitons by phase engineering of a Bose–Einstein condensate, Science, Volume 287 (2000), pp. 97-101 | DOI

[49] Avinash Kumar; Romain Dubessy; Thomas Badr; Camilla De Rossi; Mathieu de Goër de Herve; Laurent Longchambon; Hélène Perrin Producing superfluid circulation states using phase imprinting, Phys. Rev. A, Volume 97 (2018) no. 4, 043615 | DOI

[50] Scott Beattie; Stuart Moulder; Richard J. Fletcher; Zoran Hadzibabic Persistent Currents in Spinor Condensates, Phys. Rev. Lett., Volume 110 (2013) no. 2, 025301 | DOI

[51] Mingwu Lu; Nathaniel Q. Burdick; Seo Ho Youn; Benjamin L. Lev Strongly dipolar Bose–Einstein condensate of Dysprosium, Phys. Rev. Lett., Volume 107 (2011) no. 19, 190401 | DOI

[52] K. Aikawa; A. Frisch; Manfred J. Mark; S. Baier; A. Rietzler; Rudolf Grimm; Francesca Ferlaino Bose–Einstein condensation of Erbium, Phys. Rev. Lett., Volume 108 (2012) no. 21, 210401 | DOI

[53] Matthew A. Norcia; Francesca Ferlaino Developments in atomic control using ultracold magnetic lanthanides, Nat. Phys., Volume 17 (2021) no. 12, pp. 1349-1357 | DOI

[54] Lauriane Chomaz; Igor Ferrier-Barbut; Francesca Ferlaino; Bruno Laburthe-Tolra; Benjamin L. Lev; Tilman Pfau Dipolar physics: A review of experiments with magnetic quantum gases, Rep. Prog. Phys., Volume 86 (2022), 026401 | DOI

[55] L. Landau Theory of the superfluidity of Helium II, Phys. Rev., Volume 60 (1941) no. 4, pp. 356-358 | DOI | Zbl

[56] Duncan H. J. O’Dell; Stefano Giovanazzi; G. Kurizki Rotons in Gaseous Bose–Einstein Condensates Irradiated by a Laser, Phys. Rev. Lett., Volume 90 (2003) no. 11, 110402 | DOI

[57] Luis Santos; G. V. Shlyapnikov; M. Lewenstein Roton-Maxon Spectrum and Stability of Trapped Dipolar Bose–Einstein Condensates, Phys. Rev. Lett., Volume 90 (2003) no. 25, 250403 | DOI

[58] Lauriane Chomaz; Rick M. W van Bijnen; Daniel Petter; Giulia Faraoni; Simon Baier; J. Hendrik Becher; Manfred J. Mark; Falk Wächtler; Luis Santos; Francesca Ferlaino Observation of roton mode population in a dipolar quantum gas, Nat. Phys., Volume 14 (2018) no. 5, pp. 442-446 | DOI

[59] Daniel Petter; G. Natale; Rick M. W. van Bijnen; A. Patscheider; Manfred J. Mark; Lauriane Chomaz; Francesca Ferlaino Probing the Roton Excitation Spectrum of a Stable Dipolar Bose Gas, Phys. Rev. Lett., Volume 122 (2019) no. 18, 183401 | DOI

[60] Jens Hertkorn; Jan-Niklas Schmidt; Fabian Böttcher; Mingyang Guo; Matthias Schmidt; K. S. H. Ng; S. D. Graham; H. P. Büchler; Tim Langen; Martin W. Zwierlein; Tilman Pfau Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas, Phys. Rev. X, Volume 11 (2021) no. 1, 011037 | DOI

[61] Jan-Niklas Schmidt; Jens Hertkorn; Mingyang Guo; Fabian Böttcher; Matthias Schmidt; K. S. H. Ng; S. D. Graham; Tim Langen; Martin W. Zwierlein; Tilman Pfau Roton excitations in an oblate dipolar quantum gas, Phys. Rev. Lett., Volume 126 (2021) no. 19, 193002 | DOI

[62] Eugene P. Gross Unified theory of interacting bosons, Phys. Rev., Volume 106 (1957) no. 1, pp. 161-162 | DOI | Zbl

[63] Fabian Böttcher; Jan-Niklas Schmidt; Matthias Wenzel; Jens Hertkorn; Mingyang Guo; Tim Langen; Tilman Pfau Transient supersolid properties in an array of dipolar quantum droplets, Phys. Rev. X, Volume 9 (2019) no. 1, 011051 | DOI

[64] L. Tanzi; E. Lucioni; F. Famà; J. Catani; A. Fioretti; C. Gabbanini; Russell N. Bisset; Luis Santos; G. Modugno Observation of a dipolar quantum gas with metastable supersolid properties, Phys. Rev. Lett., Volume 122 (2019) no. 13, 130405 | DOI

[65] Lauriane Chomaz; Daniel Petter; P. Ilzhöfer; G. Natale; A. Trautmann; Claudia Politi; G. Durastante; Rick M. W. van Bijnen; A. Patscheider; M. Sohmen; Manfred J. Mark; Francesca Ferlaino Long-lived and transient supersolid behaviors in dipolar quantum gases, Phys. Rev. X, Volume 9 (2019) no. 2, 021012 | DOI

[66] M. A. Norcia; C. Politi; L. Klaus; E. Poli; M. Sohmen; M. J. Mark; R. Bisset; L. Santos; F. Ferlaino Two-dimensional supersolidity in a dipolar quantum gas, Nature, Volume 596 (2021) no. 7872, pp. 357-361 | DOI

[67] Thomas Bland; Elena Poli; Claudia Politi; Lauritz Klaus; Matthew A. Norcia; Francesca Ferlaino; Luis Santos; Russell N. Bisset Two-Dimensional Supersolid Formation in Dipolar Condensates, Phys. Rev. Lett., Volume 128 (2022) no. 19, 195302 | DOI

[68] S. Lepoutre; J. Schachenmayer; L. Gabardos; B. Zhu; B. Naylor; E. Marechal; O. Gorceix; A. M. Rey; L. Vernac; B. Laburthe-Tolra Out-of-equilibrium quantum magnetism and thermalization in a spin-3 many-body dipolar lattice system, Nature Communications, Volume 10 (2019), p. 1714 | DOI

[69] A. Patscheider; B. Zhu; L. Chomaz; D. Petter; S. Baier; A.-M. Rey; F. Ferlaino; M. J. Mark Controlling dipolar exchange interactions in a dense three-dimensional array of large-spin fermions, Phys. Rev. Research, Volume 2 (2020) no. 2, 023050 | DOI

[70] S. Baier; Manfred J. Mark; Daniel Petter; K. Aikawa; Lauriane Chomaz; Z. Cai; M. Baranov; P. Zoller; Francesca Ferlaino Extended Bose–Hubbard models with ultracold magnetic atoms, Science, Volume 352 (2016) no. 6282, pp. 201-205 | DOI | MR | Zbl

[71] Lauriane Chomaz; S. Baier; Daniel Petter; Manfred J. Mark; Falk Wächtler; Luis Santos; Francesca Ferlaino Quantum-fluctuation-driven crossover from a dilute Bose–Einstein condensate to a macrodroplet in a dipolar quantum fluid, Phys. Rev. X, Volume 6 (2016) no. 4, 041039 | DOI

[72] Igor Ferrier-Barbut; Holger Kadau; Matthias Schmitt; Matthias Wenzel; Tilman Pfau Observation of Quantum Droplets in a Strongly Dipolar Bose Gas, Phys. Rev. Lett., Volume 116 (2016) no. 21, 215301 | DOI

[73] Holger Kadau; Matthias Schmitt; Matthias Wenzel; Clarissa Wink; Thomas Maier; Igor Ferrier-Barbut; Tilman Pfau Observing the Rosensweig instability of a quantum ferrofluid, Nature, Volume 530 (2016) no. 7589, pp. 194-197 | DOI

[74] Lincoln D. Carr; David DeMille; Roman V. Krems; Jun Ye Cold and ultracold molecules: Science, technology and applications, New J. Phys., Volume 11 (2009) no. 5, 055049 | DOI

[75] Matthias Schmidt; Lucas Lassablière; Goulven Quéméner; Tim Langen Self-bound dipolar droplets and supersolids in molecular Bose–Einstein condensates, Phys. Rev. Res., Volume 4 (2022) no. 1, 013235 | DOI

[76] Charles S. Adams; Jonathan D. Pritchard; James P. Shaffer Rydberg atom quantum technologies, J. Phys. B. At. Mol. Opt. Phys., Volume 53 (2019) no. 1, 012002 | DOI

[77] Julian Léonard; Andrea Morales; Philip Zupancic; Tilman Esslinger; Tobias Donner Supersolid formation in a quantum gas breaking a continuous translational symmetry, Nature, Volume 543 (2017) no. 7643, pp. 87-90 | DOI

[78] Jun-Ru Li; Jeongwon Lee; Wujie Huang; Sean Burchesky; Boris Shteynas; Furkan Çağrı Top; Alan O Jamison; Wolfgang Ketterle A stripe phase with supersolid properties in spin–orbit-coupled Bose–Einstein condensates, Nature, Volume 543 (2017) no. 7643, pp. 91-94 | DOI

[79] Nathan Goldman; G. Juzeliūnas; Patrik Öhberg; Ian B. Spielman Light-induced gauge fields for ultracold atoms, Rep. Prog. Phys., Volume 77 (2014) no. 12, 126401 | DOI

[80] N. B. Ekreem; A. G. Olabi; T. Prescott; A. Rafferty; M. S. J. Hashmi An overview of magnetostriction, its use and methods to measure these properties, J. Mater. Process. Technol., Volume 191 (2007) no. 1-3, pp. 96-101 | DOI

[81] Srivatsa B. Prasad; Thomas Bland; Brendan C. Mulkerin; Nick G. Parker; Andrew M. Martin Vortex lattice formation in dipolar Bose–Einstein condensates via rotation of the polarization, Phys. Rev. A, Volume 100 (2019) no. 2, 023625 | DOI

[82] Lauritz Klaus; Thomas Bland; Elena Poli; Claudia Politi; Giacomo Lamporesi; Eva Casotti; Russell N. Bisset; Manfred J. Mark; Francesca Ferlaino Observation of vortices and vortex stripes in a dipolar condensate, Nat. Phys., Volume 18 (2022) no. 12, pp. 1453-1458 | DOI

[83] Stefano Giovanazzi; Axel Görlitz; Tilman Pfau Tuning the Dipolar Interaction in Quantum Gases, Phys. Rev. Lett., Volume 89 (2002) no. 13, 130401 | DOI

[84] Yijun Tang; Wil Kao; Kuan-Yu Li; Benjamin L. Lev Tuning the Dipole-Dipole Interaction in a Quantum Gas with a Rotating Magnetic Field, Phys. Rev. Lett., Volume 120 (2018) no. 23, 230401 | DOI

[85] Srivatsa B. Prasad; Thomas Bland; Brendan C. Mulkerin; Nick G. Parker; Andrew M. Martin Instability of rotationally tuned dipolar Bose–Einstein condensates, Phys. Rev. Lett., Volume 122 (2019) no. 5, 050401 | DOI

[86] D. Baillie; P. B. Blakie Rotational tuning of the dipole-dipole interaction in a Bose gas of magnetic atoms, Phys. Rev. A, Volume 101 (2020) no. 4, 043606 | DOI

[87] I. Tikhonenkov; Boris A. Malomed; A. Vardi Anisotropic Solitons in Dipolar Bose–Einstein Condensates, Phys. Rev. Lett., Volume 100 (2008) no. 9, 090406 | DOI

[88] Guilong Li; Xunda Jiang; Bin Liu; Zhaopin Chen; Boris A. Malomed; Yongyao Li Anisotropic vortex quantum droplets in dipolar Bose–Einstein condensates (2023) (preprint, arXiv:2301.04305) | DOI

[89] André Cidrim; Francisco E. A. dos Santos; Emanuel A. L. Henn; Tommaso Macrì Vortices in self-bound dipolar droplets, Phys. Rev. A, Volume 98 (2018) no. 2, 023618 | DOI

[90] Au-Chen Lee; D. Baillie; Russell N. Bisset; P. B. Blakie Excitations of a vortex line in an elongated dipolar condensate, Phys. Rev. A, Volume 98 (2018) no. 6, 063620 | DOI

[91] Andrew M. Martin; N. G. Marchant; D. H. J O’Dell; Nick G. Parker Vortices and vortex lattices in quantum ferrofluids, J. Phys. Cond. Matt., Volume 29 (2017) no. 10, 103004 | DOI

[92] S. Yi; Han Pu Vortex structures in dipolar condensates, Phys. Rev. A, Volume 73 (2006) no. 6, 061602 | DOI

[93] M. Abad; M. Guilleumas; R. Mayol; Martí Pi; D. M. Jezek Vortices in Bose–Einstein condensates with dominant dipolar interactions, Phys. Rev. A, Volume 79 (2009) no. 6, 063622 | DOI

[94] Christopher Ticknor; Ryan M. Wilson; John L. Bohn Anisotropic superfluidity in a dipolar Bose gas, Phys. Rev. Lett., Volume 106 (2011) no. 6, 065301 | DOI

[95] Brendan C. Mulkerin; Rick M. W. van Bijnen; Duncan H. J. O’Dell; Andrew M. Martin; Nick G. Parker Anisotropic and long-range vortex interactions in two-dimensional dipolar Bose gases, Phys. Rev. Lett., Volume 111 (2013) no. 17, 170402 | DOI

[96] Brendan C. Mulkerin; Duncan H. J. O’Dell; Andrew M. Martin; Nick G. Parker Vortices in the two-dimensional dipolar Bose gas, J. Phys. Conf. Ser., Volume 497 (2014), 012025 | DOI

[97] Ryan M. Wilson; Shai Ronen; John L. Bohn; Han Pu Manifestations of the Roton Mode in Dipolar Bose–Einstein Condensates, Phys. Rev. Lett., Volume 100 (2008) no. 24, 245302 | DOI

[98] M. Jona-Lasinio; K. Łakomy; Luis Santos Roton confinement in trapped dipolar Bose–Einstein condensates, Phys. Rev. A, Volume 88 (2013) no. 1, 013619 | DOI

[99] Lorenz Fuchs; Denis Kochan; Jan-Niklas Schmidt; N. Hüttner; C. Baumgartner; S Reinhardt; S. Gronin; G. C. Gardner; T. Lindemann; M. J. Manfra; C. Strunk; N. Paradiso Anisotropic vortex squeezing in synthetic Rashba superconductors: a manifestation of Lifshitz invariants, Phys. Rev. X, Volume 12 (2022) no. 4, 041020 | DOI

[100] Simone Serafini; Luca Galantucci; Elena Iseni; Tom Bienaimé; Russell N. Bisset; Carlo F Barenghi; Franco Dalfovo; Giacomo Lamporesi; Gabriele Ferrari Vortex reconnections and rebounds in trapped atomic Bose–Einstein condensates, Phys. Rev. X, Volume 7 (2017) no. 2, 021031 | DOI

[101] S. Gautam Dynamics of the corotating vortices in dipolar Bose–Einstein condensates in the presence of dissipation, J. Phys. B. At. Mol. Opt. Phys., Volume 47 (2014) no. 16, 165301 | DOI

[102] N. R. Cooper; E. H. Rezayi; S. H. Simon Vortex lattices in rotating atomic Bose gases with dipolar interactions, Phys. Rev. Lett., Volume 95 (2005) no. 20, 200402 | DOI

[103] Jian Zhang; Hui Zhai Vortex Lattices in Planar Bose–Einstein Condensates with Dipolar Interactions, Phys. Rev. Lett., Volume 95 (2005) no. 20, 200403 | DOI

[104] Ramavarmaraja Kishor Kumar; Thangarasu Sriraman; Henrique Fabrelli; Paulsamy Muruganandam; Arnaldo Gammal Three-dimensional vortex structures in a rotating dipolar Bose–Einstein condensate, J. Phys. B. At. Mol. Opt. Phys., Volume 49 (2016) no. 15, 155301 | DOI

[105] Yongyong Cai; Yongjun Yuan; Matthias Rosenkranz; Han Pu; Weizhu Bao Vortex patterns and the critical rotational frequency in rotating dipolar Bose–Einstein condensates, Phys. Rev. A, Volume 98 (2018) no. 2, 023610 | DOI

[106] Thomas Bland; G. W. Stagg; Luca Galantucci; A. W. Baggaley; Nick G. Parker Quantum ferrofluid turbulence, Phys. Rev. Lett., Volume 121 (2018) no. 17, 174501 | DOI

[107] Srivatsa B. Prasad; Brendan C. Mulkerin; Andrew M. Martin Arbitrary-angle rotation of the polarization of a dipolar Bose–Einstein condensate, Phys. Rev. A, Volume 103 (2021) no. 3, 033322 | DOI | MR

[108] Santo M. Roccuzzo; Albert Gallemí; Alessio Recati; Sandro Stringari Rotating a supersolid dipolar gas, Phys. Rev. Lett., Volume 124 (2020) no. 4, 045702 | DOI

[109] Albert Gallemí; Santo M. Roccuzzo; Sandro Stringari; Alessio Recati Quantized vortices in dipolar supersolid Bose–Einstein-condensed gases, Phys. Rev. A, Volume 102 (2020) no. 2, 023322 | DOI

[110] Francesco Ancilotto; Manuel Barranco; Martí Pi; Luciano Reatto Vortex properties in the extended supersolid phase of dipolar Bose–Einstein condensates, Phys. Rev. A, Volume 103 (2021) no. 3, 033314 | DOI

[111] Marija Šindik; Alessio Recati; Santo M. Roccuzzo; Luis Santos; Sandro Stringari Creation and robustness of quantized vortices in a dipolar supersolid when crossing the superfluid-to-supersolid transition, Phys. Rev. A, Volume 106 (2022) no. 6, L061303 | DOI

[112] Albert Gallemí; Luis Santos Superfluid properties of a honeycomb dipolar supersolid, Phys. Rev. A, Volume 106 (2022) no. 6, 063301 | DOI

[113] Falk Wächtler; Luis Santos Quantum filaments in dipolar Bose–Einstein condensates, Phys. Rev. A, Volume 93 (2016) no. 6, 061603 | DOI

[114] Russell N. Bisset; Ryan M. Wilson; D. Baillie; P. B. Blakie Ground-state phase diagram of a dipolar condensate with quantum fluctuations, Phys. Rev. A, Volume 94 (2016) no. 3, 033619 | DOI

[115] T. D. Lee; Kerson Huang; C. N. Yang Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties, Phys. Rev., Volume 106 (1957) no. 6, pp. 1135-1145 | DOI | MR | Zbl

[116] Ralf Schützhold; Michael Uhlmann; Yan Xu; Uwe R. Fischer Mean-field expansion in Bose–Einstein condensates with finite-range interactions, International Journal of Modern Physics B, Volume 20 (2006) no. 24, pp. 3555-3565 | DOI | Zbl

[117] Aristeu R. P. Lima; Axel Pelster Quantum fluctuations in dipolar Bose gases, Phys. Rev. A, Volume 84 (2011) no. 4, 041604 | DOI

[118] P. B. Blakie; Ashton S. Bradley; Matthew J. Davis; R. J. Ballagh; C. W. Gardiner Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques, Adv. Phys., Volume 57 (2008) no. 5, pp. 363-455 | DOI

[119] Shai Ronen; Daniele C. E. Bortolotti; John L. Bohn Bogoliubov modes of a dipolar condensate in a cylindrical trap, Phys. Rev. A, Volume 74 (2006) no. 1, 013623 | DOI

[120] Alessio Recati; F. Zambelli; Sandro Stringari Overcritical rotation of a trapped Bose–Einstein condensate, Phys. Rev. Lett., Volume 86 (2001) no. 3, pp. 377-380 | DOI

[121] Subhasis Sinha; Yvan Castin Dynamic instability of a rotating Bose–Einstein condensate, Phys. Rev. Lett., Volume 87 (2001) no. 19, 190402 | DOI

[122] E. Hodby; G. Hechenblaikner; S. A. Hopkins; O. M. Maragò; C. J. Foot Vortex Nucleation in Bose–Einstein Condensates in an Oblate, Purely Magnetic Potential, Phys. Rev. Lett., Volume 88 (2001) no. 1, 010405 | DOI

[123] Claudia Eberlein; Stefano Giovanazzi; Duncan H. J. O’Dell Exact solution of the Thomas–Fermi equation for a trapped Bose–Einstein condensate with dipole-dipole interactions, Phys. Rev. A, Volume 71 (2005) no. 3, 033618 | DOI

[124] Rick M. W. van Bijnen; Nick G. Parker; S. J. J. M. F. Kokkelmans; Andrew M. Martin; Duncan H. J. O’Dell Collective excitation frequencies and stationary states of trapped dipolar Bose–Einstein condensates in the Thomas–Fermi regime, Phys. Rev. A, Volume 82 (2010) no. 3, 033612 | DOI

[125] Rick M. W. van Bijnen; Duncan H. J. O’Dell; Nick G. Parker; Andrew M. Martin Dynamical Instability of a Rotating Dipolar Bose–Einstein Condensate, Phys. Rev. Lett., Volume 98 (2007) no. 15, 150401 | DOI

[126] Andrew M. Martin; Nick G. Parker; Rick M. W. van Bijnen; A. Dow; Duncan H. J. O’Dell Instabilities and vortex-lattice formation in rotating conventional and dipolar dilute-gas Bose–Einstein condensates, Laser Phys., Volume 18 (2008) no. 3, pp. 322-330 | DOI

[127] Rick M. W. van Bijnen; A. J. Dow; Duncan H. J. O’Dell; Nick G. Parker; Andrew M. Martin Exact solutions and stability of rotating dipolar Bose–Einstein condensates in the Thomas-Fermi limit, Phys. Rev. A, Volume 80 (2009) no. 3, 033617 | DOI

[128] Srivatsa B. Prasad; Brendan C. Mulkerin; Andrew M. Martin Stationary states, dynamical stability, and vorticity of Bose–Einstein condensates in tilted rotating harmonic traps, Phys. Rev. A, Volume 101 (2020) no. 6, 063608 | DOI | MR

[129] Franco Dalfovo; Russell N. Bisset; C. Mordini; Giacomo Lamporesi; Gabriele Ferrari Optical Visibility and Core Structure of Vortex Filaments in a Bosonic Superfluid, J. Exp. Theor. Phys., Volume 127 (2018) no. 5, pp. 804-811 | DOI

[130] M. Nilsson Tengstrand; David Boholm; Rashi Sachdeva; Jakob Bengtsson; S. M. Reimann Persistent currents in toroidal dipolar supersolids, Phys. Rev. A, Volume 103 (2021) no. 1, 013313 | DOI

[131] M. Nilsson Tengstrand; P. Stürmer; J. Ribbing; S. M. Reimann Toroidal dipolar supersolid with a rotating weak link, Phys. Rev. A, Volume 107 (2023) no. 6, 063316 | DOI | MR

[132] Luis E. Young-S.; S. K. Adhikari Supersolid-like square- and honeycomb-lattice crystallization of droplets in a dipolar condensate, Phys. Rev. A, Volume 105 (2022) no. 3, 033311 | DOI

[133] Yong-Chang Zhang; Fabian Maucher; Thomas Pohl Supersolidity around a Critical Point in Dipolar Bose–Einstein Condensates, Science, Volume 123 (2019) no. 1, 015301 | DOI

[134] Yong-Chang Zhang; Thomas Pohl; Fabian Maucher Phases of supersolids in confined dipolar Bose–Einstein condensates, Phys. Rev. A, Volume 104 (2021) no. 1, 013310 | DOI | MR

[135] Jens Hertkorn; Jan-Niklas Schmidt; Mingyang Guo; Fabian Böttcher; K. S. H. Ng; S. D. Graham; P. Uerlings; Tim Langen; Martin W. Zwierlein; Tilman Pfau Pattern formation in quantum ferrofluids: From supersolids to superglasses, Phys. Rev. Res., Volume 3 (2021) no. 3, 033125 | DOI

[136] A. Trautmann; P. Ilzhöfer; G. Durastante; Claudia Politi; M. Sohmen; Manfred J. Mark; Francesca Ferlaino Dipolar Quantum Mixtures of Erbium and Dysprosium Atoms, Phys. Rev. Lett., Volume 121 (2018) no. 21, 213601 | DOI

[137] Cornelis Ravensbergen; Vincent Corre; Elisa Soave; Marian Kreyer; Emil Kirilov; Rudolf Grimm Production of a degenerate Fermi–Fermi mixture of dysprosium and potassium atoms, Phys. Rev. A, Volume 98 (2018) no. 6, 063624 | DOI

[138] Florian Schäfer; Yuki Haruna; Yoshiro Takahashi Realization of a quantum degenerate mixture of highly-magnetic and nonmagnetic atoms (2023) (preprint, arXiv:2301.08890)

[139] Xiao-Fei Zhang; Lin Wen; Cai-Qing Dai; Rui-Fang Dong; Hai-Feng Jiang; Hong Chang; Shou-Gang Zhang Exotic vortex lattices in a rotating binary dipolar Bose–Einstein condensate, Sci. Rep., Volume 6 (2016) no. 1, 19680 | DOI

[140] Ramavarmaraja Kishor Kumar; Lauro Tomio; Boris A. Malomed; Arnaldo Gammal Vortex lattices in binary Bose–Einstein condensates with dipole-dipole interactions, Phys. Rev. A, Volume 96 (2017) no. 6, 063624 | DOI

[141] Ramavarmaraja Kishor Kumar; Lauro Tomio; Arnaldo Gammal Vortex patterns in rotating dipolar Bose–Einstein condensate mixtures with squared optical lattices, J. Phys. B. At. Mol. Opt. Phys., Volume 52 (2018) no. 2, 025302 | DOI

[142] Ramavarmaraja Kishor Kumar; Lauro Tomio; Arnaldo Gammal Spatial separation of rotating binary Bose–Einstein condensates by tuning the dipolar interactions, Phys. Rev. A, Volume 99 (2019) no. 4, 043606 | DOI

[143] Lauro Tomio; Ramavarmaraja Kishor Kumar; Arnaldo Gammal Dipolar condensed atomic mixtures and miscibility under rotation, SciPost Physics Proceedings, Volume 3 (2020), 023 | DOI

[144] Shaoxiong Li; Uyen Ngoc Le; Hiroki Saito Long-lifetime supersolid in a two-component dipolar Bose–Einstein condensate, Phys. Rev. A, Volume 105 (2022) no. 6, L061302 | DOI

[145] Thomas Bland; Elena Poli; L. A. Peña Ardila; Luis Santos; Francesca Ferlaino; Russell N. Bisset Alternating-domain supersolids in binary dipolar condensates, Phys. Rev. A, Volume 106 (2022) no. 5, 053322 | DOI

[146] D. Scheiermann; L. A. Peña Ardila; Thomas Bland; Russell N. Bisset; Luis Santos Catalyzation of supersolidity in binary dipolar condensates, Phys. Rev. A, Volume 107 (2023) no. 2, L021302 | DOI

[147] Gregory P. Bewley; Daniel P. Lathrop; Katepalli R. Sreenivasan Visualization of quantized vortices, Nature, Volume 441 (2006) no. 7093, p. 588-588 | DOI

[148] Brian P. Anderson; P. C. Haljan; C. E. Wieman; E. A. Cornell Vortex precession in Bose–Einstein condensates: Observations with filled and empty cores, Phys. Rev. Lett., Volume 85 (2000) no. 14, pp. 2857-2860 | DOI

[149] L. Tanzi; J. G. Maloberti; G. Biagioni; A. Fioretti; C. Gabbanini; G. Modugno Evidence of superfluidity in a dipolar supersolid from nonclassical rotational inertia, Science, Volume 371 (2021) no. 6534, pp. 1162-1165 | DOI | MR | Zbl

[150] Matthew A. Norcia; Elena Poli; Claudia Politi; Lauritz Klaus; Thomas Bland; Manfred J. Mark; Luis Santos; Russell N. Bisset; Francesca Ferlaino Can Angular Oscillations Probe Superfluidity in Dipolar Supersolids?, Phys. Rev. Lett., Volume 129 (2022) no. 4, 040403 | DOI

[151] Santo M. Roccuzzo; Alessio Recati; Sandro Stringari Moment of inertia and dynamical rotational response of a supersolid dipolar gas, Phys. Rev. A, Volume 105 (2022) no. 2, 023316 | DOI

[152] A. Griffin; D. Snoke; Sandro Stringari Bose–Einstein Condensation, Cambridge University Press, 1995 | DOI

[153] T. W. B. Kibble Topology of cosmic domains and strings, J. Phys. A. Math. Gen., Volume 9 (1976) no. 8, 1387 | DOI | Zbl

[154] Wojciech H. Zurek Cosmological experiments in superfluid liquid helium?, Nature, Volume 317 (1985), pp. 505-508 | DOI

[155] V.L. Berezinskii Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group. ii. quantum systems, Sov. Phys. JETP, Volume 34 (1972), pp. 610-616

[156] J. M. Kosterlitz; D. J. Thouless Ordering, metastability and phase transitions in two-dimensional systems, J. Phys. C. Solid State Phys., Volume 6 (1973) no. 7, 1181 | DOI

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