Motivés par l’observation expérimentale [1] que le forçage d’un gaz de bosons sans interaction dans une boîte 3D en présence d’un faible désordre conduit à une croissance de l’énergie en loi de puissance, avec , et à des distributions en impulsion exponentielles comprimées révélant une loi d’échelle dynamique sous-jacente, nous effectuons des études numériques et analytiques systématiques de ce système. Des simulations de l’équation de Schrödinger montrent un passage de à lorsqu’on augmente la force du désordre, ce qui laisse supposer l’existence de deux régimes dynamiques différents. Nous présentons un modèle semi-classique qui rend compte des résultats des simulations et permet de comprendre la dynamique en termes de marche aléatoire dans l’espace des énergies, grâce à quoi un passage de la loi d’échelle à la loi est obtenu analytiquement. Les deux lois limites correspondent au fait que la marche aléatoire est limitée par le taux de la diffusion élastique induite par le désordre ou au contraire par le taux avec lequel le forçage peut modifier l’énergie du système. Nos résultats fournissent une base théorique aux futures études expérimentales.
Motivated by the experimental observation [1] that driving a non-interacting Bose gas in a 3D box with weak disorder leads to power-law energy growth, with , and compressed-exponential momentum distributions that show dynamic scaling, we perform systematic numerical and analytical studies of this system. Schrödinger-equation simulations reveal a crossover from to with increasing disorder strength, hinting at the existence of two different dynamical regimes. We present a semi-classical model that captures the simulation results and allows an understanding of the dynamics in terms of an energy-space random walk, from which a crossover from to scaling is analytically obtained. The two limits correspond to the random walk being limited by the rate of the elastic disorder-induced scattering or the rate at which the drive can change the system’s energy. Our results provide the theoretical foundation for further experiments.
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Mot clés : Atomes froids, Système désordonné, Loi d’échelle dynamique, Marche aléatoire en temps continu, Chaos
Yansheng Zhang 1 ; Gevorg Martirosyan 1 ; Christopher Junhong Ho 1 ; Jiří Etrych 1 ; Christoph Eigen 1 ; Zoran Hadzibabic 1
@article{CRPHYS_2023__24_S3_153_0, author = {Yansheng Zhang and Gevorg Martirosyan and Christopher Junhong Ho and Ji\v{r}{\'\i} Etrych and Christoph Eigen and Zoran Hadzibabic}, title = {Energy-space random walk in a driven disordered {Bose} gas}, journal = {Comptes Rendus. Physique}, pages = {153--171}, publisher = {Acad\'emie des sciences, Paris}, volume = {24}, number = {S3}, year = {2023}, doi = {10.5802/crphys.168}, language = {en}, }
TY - JOUR AU - Yansheng Zhang AU - Gevorg Martirosyan AU - Christopher Junhong Ho AU - Jiří Etrych AU - Christoph Eigen AU - Zoran Hadzibabic TI - Energy-space random walk in a driven disordered Bose gas JO - Comptes Rendus. Physique PY - 2023 SP - 153 EP - 171 VL - 24 IS - S3 PB - Académie des sciences, Paris DO - 10.5802/crphys.168 LA - en ID - CRPHYS_2023__24_S3_153_0 ER -
%0 Journal Article %A Yansheng Zhang %A Gevorg Martirosyan %A Christopher Junhong Ho %A Jiří Etrych %A Christoph Eigen %A Zoran Hadzibabic %T Energy-space random walk in a driven disordered Bose gas %J Comptes Rendus. Physique %D 2023 %P 153-171 %V 24 %N S3 %I Académie des sciences, Paris %R 10.5802/crphys.168 %G en %F CRPHYS_2023__24_S3_153_0
Yansheng Zhang; Gevorg Martirosyan; Christopher Junhong Ho; Jiří Etrych; Christoph Eigen; Zoran Hadzibabic. Energy-space random walk in a driven disordered Bose gas. Comptes Rendus. Physique, Volume 24 (2023) no. S3, pp. 153-171. doi : 10.5802/crphys.168. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.168/
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