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We study thermodynamic properties of weakly interacting Bose gases above the transition temperature of Bose-Einstein condensation in the framework of a thermodynamic perturbation theory. Cases of local and non-local interactions between…

量子气体 · 物理学 2021-02-05 M. S. Bulakhov , A. S. Peletminskii , Yu. V. Slyusarenko , A. G. Sotnikov

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

凝聚态物理 · 物理学 2009-10-31 Janne Ruostekoski , Dan F. Walls

We develop a method for investigating nonequilibrium dynamics of an ultracold system that is initially at thermal equilibrium. Our procedure is based on the classical fields approximation with appropriately prepared initial state. As an…

量子气体 · 物理学 2015-05-20 Emilia Witkowska , Tomasz Świsłocki , Michał Matuszewski

Quantum systems are typically characterized by the inherent fluctuation of their physical observables. Despite this fundamental importance, the investigation of the fluctuations in interacting quantum systems at finite temperature continues…

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

统计力学 · 物理学 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

The shift in condensation temperature caused by interactions is studied up to second order in the s-wave scattering length in a Bose-Einstein condensate trapped in a temperature-dependent three-dimensional generic potential. With no…

量子气体 · 物理学 2020-07-06 E. Castellanos , F. Briscese , M. Grether , M. de Llano

We theoretically study a three-dimensional weakly-interacting Bose gas with Raman-induced spin-orbit coupling at finite temperature. By employing a generalized Hartree-Fock-Bogoliubov theory with Popov approximation, we determine a complete…

量子气体 · 物理学 2024-08-26 Xiao-Long Chen , Xia-Ji Liu , Hui Hu

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

凝聚态物理 · 物理学 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

We consider two characteristic temperatures for a Bose-Einstein condensate, that are related to certain properties of the condensate statistics. We calculate them for an ideal gas confined in power-law traps and show that they approach the…

统计力学 · 物理学 2009-11-10 Z. Idziaszek , K. Rzazewski

We find that in very elongated 3D trapped Bose gases, even at temperatures far below the BEC transition temperature Tc, the equilibrium state will be a 3D condensate with fluctuating phase (quasicondensate). At sufficiently low temperatures…

统计力学 · 物理学 2009-11-07 D. S. Petrov , G. V. Shlyapnikov , J. T. M. Walraven

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

高能物理 - 唯象学 · 物理学 2007-05-23 Eric Braaten

The correlation function of the quantum fluctuations due to collective excitations is calculated and used to investigate the phase diffusion of a Bose-Einstein condensate close to zero temperature. It is shown that the phase diffusion time…

软凝聚态物质 · 物理学 2015-06-24 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

凝聚态物理 · 物理学 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched…

无序系统与神经网络 · 物理学 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

The coherence properties of phase fluctuating Bose-Einstein condensates are studied both theoretically and experimentally. We derive a general expression for the N-particle correlation function of a condensed Bose gas in a highly elongated…

软凝聚态物质 · 物理学 2009-11-10 L. Cacciapuoti , D. Hellweg , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt , L. Santos , M. Lewenstein

The shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length `a' is computed for given particle density `n.' Variational perturbation theory is used to resum…

统计力学 · 物理学 2007-05-23 Boris Kastening

This article gives a rigorous analysis of the fluctuations of the Bose-Einstein condensate for a system of non-interacting bosons in an arbitrary potential, assuming that the system is governed by the canonical ensemble. As a result of the…

概率论 · 数学 2014-03-05 Sourav Chatterjee , Persi Diaconis

A simple picture describes the results of recent treatments of partially-condensed, dilute, trapped Bose gases at temperature T > 0. The condensate wavefunction is nearly identical to that of a T=0 condensate with the same number of…

统计力学 · 物理学 2007-05-23 R. J. Dodd , K. Burnett , Mark Edwards , Charles W. Clark

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

量子气体 · 物理学 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

统计力学 · 物理学 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski