The Gross–Pitaevskii equation (GPE) describes the dynamics of superflows and Bose–Einstein Condensates (BEC) at very low temperature. When a truncation of Fourier modes is performed, the resulting truncated GPE (TGPE) can also describe the correct thermal behavior of a Bose gas, as long as all relevant modes are highly occupied [M.J. Davis, S.A. Morgan, K. Burnett, Simulations of Bose fields at finite temperature, Phys. Rev. Lett. 87 (16) (2001) 160402]. We review some of our groupʼs recent GPE- and TGPE-based numerical studies of superfluid dynamics and BEC stability. The relations with experiments are discussed.
Lʼéquation de Gross–Pitaevskii (GPE) décrit la dynamique des superfluides et les condensats de Bose–Einstein (BEC) à très basse température. Quand une troncature des modes de Fourier est effectuée, lʼéquation résultante tronquée (TGPE) peut également décrire le comportement thermique correct dʼun gaz de Bose, à condition que tous les modes concernés sont hautement occupés [M.J. Davis, S.A. Morgan, K. Burnett, Simulations of Bose fields at finite temperature, Phys. Rev. Lett. 87 (16) (2001) 160402]. Nous passons en revue quelques études numériques récentes faites par notre groupe, utilisant GPE et TGPE, de la dynamique des superfluides et de la stabilité des BEC. Les relations avec les expériences sont discutées.
Mot clés : Turbulence, Superfuidité, Contre-écoulement
Marc Brachet 1
@article{CRPHYS_2012__13_9-10_954_0, author = {Marc Brachet}, title = {Gross{\textendash}Pitaevskii description of superfluid dynamics at finite temperature: {A} short review of recent results}, journal = {Comptes Rendus. Physique}, pages = {954--965}, publisher = {Elsevier}, volume = {13}, number = {9-10}, year = {2012}, doi = {10.1016/j.crhy.2012.10.006}, language = {en}, }
TY - JOUR AU - Marc Brachet TI - Gross–Pitaevskii description of superfluid dynamics at finite temperature: A short review of recent results JO - Comptes Rendus. Physique PY - 2012 SP - 954 EP - 965 VL - 13 IS - 9-10 PB - Elsevier DO - 10.1016/j.crhy.2012.10.006 LA - en ID - CRPHYS_2012__13_9-10_954_0 ER -
Marc Brachet. Gross–Pitaevskii description of superfluid dynamics at finite temperature: A short review of recent results. Comptes Rendus. Physique, Volume 13 (2012) no. 9-10, pp. 954-965. doi : 10.1016/j.crhy.2012.10.006. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2012.10.006/
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