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Two-fluid hydrodynamics of cold atomic bosons under influence of the quantum fluctuations at non-zero temperatures

2021/01/28 by Pavel A. Andreev, Andreev, Pavel A.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High-Energy Particle Collisions Research #Optical properties and cooling technologies in crystalline materials #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #cond-mat.quant-gas #nlin.PS

paper · pdf · doi:10.48550/arxiv.2101.12118

15 pages

arxiv created 2021/01/28 · openalex publication_date 2021/01/28 · arxiv updated 2021/01/29 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Ultracold Bose atoms is the physical system, where the quantum and nonlinear phenomena play crucial role. Ultracold bosons are considered at the small finite temperatures. Bosons are considered as two different fluids: Bose-Einstein condensate and normal fluid (the thermal component). An extended hydrodynamic model is obtained for both fluids, where the pressure evolution equations and the pressure flux third rank tensor evolution equations are considered along with the continuity and Euler equations. It is found that the pressure evolution equation contains zero contribution of the short-range interaction. The pressure flux evolution equation contains the interaction which gives the quantum fluctuations in the zero temperature limit. Here, we obtain its generalization for the finite temperature. The contribution of interaction in the pressure flux evolution equation which goes to zero in the zero temperature limit is found. The model is obtained via the straightforward derivation from the microscopic many-particle Schrodinger equation in the coordinate representation.

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