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Self-consistent Approach to Finite-Temperature Excitations in Dilute Bose Gases

Emil Lundh, Ping Ao, Lars Melwyn Jensen

APSMar 1, 20000 citations

On the dynamics of finite temperature trapped Bose gases

Avy Soffer, Minh-Binh Tran

arXiv:1609.07686Advances in MathematicsDec 13, 201728 citations

Dynamics of Trapped Bose Gases at Finite Temperatures

E. Zaremba, Tetsuro Nikuni, Adam Griffin

arXiv:cond-mat/9903029Journal of Low Temperature PhysicsAug 1, 1999312 citations

Quantum hydrodynamic approximations to the finite temperature trapped Bose gases

Shi Jin, Minh-Binh Tran

arXiv:1703.00825Physica D Nonlinear PhenomenaJun 27, 20188 citations

Variational HFB Equations in the Thomas-Fermi Limit for Ultracold Trapped Gases

Mohamed Benarous

We derive variationally the HFB equations for a trapped self-interacting Bose gas at finite temperature. In the Thomas-Fermi limit, we obtain simple expressions for the condensate, the non condensate and the anomalous densities. Their behavior in terms of the condensate fraction meets qualitatively the experimental data. In particular, the non condensate and the anomalous densities are peaked at the center of the trap and not at the edges as predicted by the self-consistent HFB calculations.

arXiv:0803.1503Mar 10, 20080 citations

Static Properties of Trapped Bose Gases at Finite Temperature: I. Thomas- Fermi Limit

Mohamed Benarous, Samet, H. Chachou

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit. We derive simple analytic expressions for the condensate properties at finite temperature. The noncondensate and anomalous density profiles are also analyzed in terms of the condensate fraction. The results are quite encouraging owing to the simplicity of the formalism.We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit. We derive simple analytic expressions for the condensate properties at finite temperature. The noncondensate and anomalous density profiles are also analyzed in terms of the condensate fraction. The results are quite encouraging owing to the simplicity of the formalism.

arXiv:cond-mat/0611490Nov 18, 20060 citations

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