Condensate statistics in one-dimensional interacting bose gases: Exact results

Year: 2003

Authors: Carusotto I., Castin Y.

Autors Affiliation: Ecole Normale Super, Lab Kastler Brossel, F-75231 Paris 05, France.

Abstract: Recently, a quantum Monte Carlo method alternative to the path integral Monte Carlo method was developed for solving the N-boson problem; it is based on the stochastic evolution of classical fields. Here we apply it to obtain exact results for the occupation statistics of the condensate mode in a weakly interacting trapped one-dimensional Bose gas. The temperature is varied across the critical region down to temperatures lower than the trap level spacing. We also derive the condensate statistics in the Bogoliubov theory: this reproduces the exact results at low temperature and explains the suppression of odd numbers of noncondensed particles at Tsimilar or equal to0.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 90 (3)      Pages from: 30401-1  to: 30401-4

KeyWords: Transition-temperature; Einstein Condensation; Fluctuations; Validity; Number; Bosons
DOI: 10.1103/PhysRevLett.90.030401

Citations: 35
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