Risultati scientifici

Self-Consistent Derivation of the Modified Gross-Pitaevskii Equation with Lee-Huang-Yang Correction

Anno: 2018

Autori: Salasnich L.

Affiliazione autori: [Salasnich, Luca] Univ Padua, Dipartimento Fis & Astron Galileo Galilei, Via Marzolo 8, I-35131 Padua, Italy.
[Salasnich, Luca] Univ Padua, CNISM, Via Marzolo 8, I-35131 Padua, Italy.
[Salasnich, Luca] CNR, INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy.

Abstract: We consider a dilute and ultracold bosonic gas of weakly-interacting atoms. Within the framework of quantum field theory, we derive a zero-temperature modified Gross-Pitaevskii equation with beyond-mean-field corrections due to quantum depletion and anomalous density. This result is obtained from the stationary equation of the Bose-Einstein order parameter coupled to the Bogoliubov-de Gennes equations of the out-of-condensate field operator. We show that, in the presence of a generic external trapping potential, the key steps to get the modified Gross-Pitaevskii equation are the semiclassical approximation for the Bogoliubov-de Gennes equations, a slowly-varying order parameter and a small quantum depletion. In the uniform case, from the modified Gross-Pitaevskii equation, we get the familiar equation of state with Lee-Huang-Yang correction

Giornale/Rivista: APPLIED SCIENCES-BASEL

Volume: 8 (10)      Da Pagina: 1988-1  A: 1988-7

Parole chiavi: Bose-Einstein condensation; quantum field theory; Gross-Pitaevskii equation
DOI: 10.3390/app8101998

Citazioni: 2
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2021-12-05
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui

gdpr-image
This site uses cookies. If you decide to continue browsing we consider that you accept their use. For more information about cookies and how to delete them please read our Info Policy on cookies use.
Read more