2011
DOI: 10.1103/physreva.83.033610
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Statistical properties of one-dimensional Bose gas

Abstract: The Monte Carlo method within the so-called classical field approximation is applied to one-dimensional, weakly interacting, repulsive Bose gas trapped in a harmonic potential. Equilibrium statistical properties of the condensate are calculated within a canonical ensemble. We also calculate experimentally relevant, low-order correlation functions of the whole gas.

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Cited by 19 publications
(34 citation statements)
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“…To determine its optimal value, we use similar approach to [18,23]. We turn to noninteracting gas of N bosons and calculate probability distribution P (N ex ) of having N ex atoms excited (8). We use the canonical ensemble and compare our results to similar distribution P cl (N ex ) which has the same physical meaning but is obtained using classical fields approximation (9).…”
Section: A Population Of the Condensate And Its Fluctuationsmentioning
confidence: 99%
See 1 more Smart Citation
“…To determine its optimal value, we use similar approach to [18,23]. We turn to noninteracting gas of N bosons and calculate probability distribution P (N ex ) of having N ex atoms excited (8). We use the canonical ensemble and compare our results to similar distribution P cl (N ex ) which has the same physical meaning but is obtained using classical fields approximation (9).…”
Section: A Population Of the Condensate And Its Fluctuationsmentioning
confidence: 99%
“…Papers concerning canonical [5] and microcanonical [6] ensemble fluctuations in the experimentally relevant case of the harmonic trap appeared shortly after. These results were followed by studies of interacting gases in the later years [7][8][9][10]. It is worth stressing that there are still many open questions in this area, e.g.…”
Section: Introductionmentioning
confidence: 96%
“…They have been used, e.g., to probe the large critical fluctuations near the phase transition [61][62][63], to study dynamical effects of fluctuations on condensate growth [48,49,64] and macroscopic excitations [65][66][67][68][69]. Another quantity of interest is the counting statistics of the condensate mode [63,[70][71][72][73], which is analogous to the photon number distribution in quantum laser theory [74].…”
Section: Introductionmentioning
confidence: 99%
“…To avoid an ultraviolet catastrophe, we use an appropriate cutoff for the high energy modes [38]. Finally, we sample the phase space in thermal equilibrium by using the Metropolis algorithm [26,37]. Figure 4(b) shows our result in terms of the ratio between the maximal fluctuations of an interacting and a noninteracting BEC as a function of the interaction strength n(0) 1/3 a. Additionally, appropriately scaled results from all other available simulations for interacting harmonically trapped BECs are displayed.…”
mentioning
confidence: 99%