Crossover of Quasiparticles and Statistics of Bose-Einstein Condensate with Increasing Interaction: from an Ideal Gas to a Thomas-Fermi Regime. The Case of a One-Dimensional Flat Trap

Tarasov, S. V.; Kocharovsky, Vl. V.

doi:10.1007/s11141-019-09978-7

Cited by 4 publications

(2 citation statements)

References 22 publications

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“…Numerical studies [89] have shown that the "quasidiagonal" property holds for the entire range of the interaction constant values and the contribution from the j-th bare particle to the j-th quasiparticle provides, at least, 97% of the norm of the excited state wave function. This phenomenon of the persistently small values of the 1D overlapping integrals leading to the "quasidiagonal" pattern can be explained qualitatively as follows.…”

Section: The Diagonal Approximation For the Quasiparticles And Bec St...mentioning

confidence: 99%

“…2. For instance, the first excited energy level in the Thomas-Fermi limit is three times lower than that for the ideal gas (for details on the excitation spectrum, see [89]). So, restructuring of the quasiparticles makes the excited states more accessible for the thermal population and tends to increase the ζ…”

Section: A Thermally Dominated Non-gaussian Fluctuations Sensitive To...mentioning

confidence: 99%

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Bose-Einstein condensate fluctuations versus an interparticle interaction

Tarasov,

Kocharovsky,

Kocharovsky

2020

Preprint

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We calculate the Bose-Einstein condensate (BEC) occupation statistics vs. the interparticle interaction in a dilute gas with a nonuniform condensate in a box trap within the Bogoliubov approach. The results are compared against the previously found BEC-occupation statistics in (i) an ideal gas and (ii) a weakly interacting gas with a uniform condensate. In particular, we reveal and explicitly describe an appearance of a nontrivial transition from the ideal gas to the Thomas-Fermi regime. The results include finding the main regimes of the BEC statistics -the anomalous non-Gaussian thermally-dominated fluctuations and the Gaussian quantum-dominated fluctuations -as well as a crossover between them and their manifestations in a mesoscopic system. Remarkably, we show that the effect of the boundary conditions, imposed at the box trap, on the BEC fluctuations doesn't vanish in the thermodynamic limit of a macroscopic system even in the presence of the interparticle interactions. Finally, we discuss a challenging problem of an experimental verification of the theory of the BEC fluctuations addressing a much deeper level of the many-body statistical physics than usually studied quantities related to the mean condensate occupation.

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Section: The Diagonal Approximation For the Quasiparticles And Bec St...mentioning

confidence: 99%

Section: A Thermally Dominated Non-gaussian Fluctuations Sensitive To...mentioning

confidence: 99%

Bose-Einstein condensate fluctuations versus an interparticle interaction

Tarasov,

Kocharovsky,

Kocharovsky

2020

Preprint

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Dependence of the Bose-Condensate Population Fluctuations in a Gas of Interacting Particles on the System Size: Numerical Analysis

Tarasov

Kocharovsky

2020

Radiophys Quantum El

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Effect of boundary conditions on fluctuations of the Bose condensate of interacting atoms

Tarasov¹

2020

Quantum Electron.

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For a gas of trapped interacting atoms forming a Bose condensate, we demonstrate a possibility of a significant influence of the boundary conditions on the statistics of the number of particles in the fundamental mode of the system. The analysis is carried out in the Bogoliubov – Popov low-temperature approximation for model homogeneous cubic traps with periodic or combined periodic and zero boundary conditions. It is shown that the effect of the boundary conditions does not weaken even in the region of parameters corresponding to the relatively strong interaction in the Thomas – Fermi asymptotic case, and does not disappear when proceeding to the thermodynamic limit.

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Crossover of Quasiparticles and Statistics of Bose-Einstein Condensate with Increasing Interaction: from an Ideal Gas to a Thomas-Fermi Regime. The Case of a One-Dimensional Flat Trap

Cited by 4 publications

References 22 publications

Bose-Einstein condensate fluctuations versus an interparticle interaction

Bose-Einstein condensate fluctuations versus an interparticle interaction

Dependence of the Bose-Condensate Population Fluctuations in a Gas of Interacting Particles on the System Size: Numerical Analysis

Effect of boundary conditions on fluctuations of the Bose condensate of interacting atoms

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