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Following the idea of the density functional approach, we develop a generalized Bogoliubov theory of an interacting Bose gas confined in a one-dimensional harmonic trap, by using a local chemical potential - calculated with the Lieb-Liniger…

量子气体 · 物理学 2024-08-26 Xiao-Long Chen , Yun Li , Hui Hu

Bose-condensation in a system of 2D quasiparticles is considered in the scope of a microscopic model. Mean-field dynamical equations are derived with the help of the Schwinger-Keldysh formalism and a simple model is proposed which allows to…

量子气体 · 物理学 2023-10-18 N. A. Asriyan , A. A. Elistratov , Yu. E. Lozovik

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.…

统计力学 · 物理学 2008-01-21 M. Benarous , H. Chachou Samet

We calculate the pair correlation function of an interacting Bose gas in a harmonic trap directly via Path Integral Quantum Monte Carlo simulation for various temperatures and compare the numerical result with simple approximative…

原子物理 · 物理学 2009-10-31 M. Holzmann , Y. Castin

We study the low-temperature thermodynamics of weakly-interacting uniform liquids in one-dimensional attractive Bose-Bose mixtures.~The Bogoliubov approach is used to simultaneously describe quantum and thermal fluctuations. First, we…

量子气体 · 物理学 2021-04-13 Giulia De Rosi , Grigori E. Astrakharchik , Pietro Massignan

A model for studying atomtronic devices and circuits based on finite temperature Bose-condensed gases is presented. The approach involves numerically solving equations of motion for atomic populations and coherences, derived using the…

原子物理 · 物理学 2016-08-29 Weng W. Chow , Cameron J. E. Straatsma , Dana Z. Anderson

A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

数学物理 · 物理学 2007-05-23 C. Malyshev , N. M. Bogoliubov

Ultracold Bose gases are many-body systems with well-defined particle interactions that may serve as models for interacting quantum fields. The impact of virtual excitations is studied in the spatial transition zone created by a soft…

量子气体 · 物理学 2025-05-22 Carsten Henkel

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

统计力学 · 物理学 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

We study a many-body system of interacting fermionic atoms of two species that are in thermodynamic equilibrium with their condensed heteronuclear bound states (molecules). In order to describe such an equilibrium state, we use a…

量子气体 · 物理学 2017-06-30 A. S. Peletminskii , S. V. Peletminskii , Yu. V. Slyusarenko

In this paper we prove that Bose gas with weak pair interaction is non ergodic system. In order to prove this fact we consider the divergences in some nonequilibrium diagram technique. These divergences are analogous to the divergences in…

数学物理 · 物理学 2011-01-05 D. V. Prokhorenko

We investigate the dissipative dynamics of a corotating vortex pair in a highly oblate axisymmetric Bose-Einstein condensate trapped in a harmonic potential. The initial vortex state is prepared by creating a doubly charged vortex at the…

量子气体 · 物理学 2015-11-30 Geol Moon , Woo Jin Kwon , Hyunjik Lee , Yong-il Shin

We present a convenient technique describing the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one. We show that the whole isolated system may be viewed as a single classical field…

凝聚态物理 · 物理学 2007-05-23 K. Goral , M. Gajda , K. Rzazewski

Quantum vortices play a crucial role in both equilibrium and dynamical phenomena in two-dimensional (2D) superfluid systems. Experimental detection of these excitations in 2D ultracold atomic gases typically involves examining density…

量子气体 · 物理学 2025-05-20 Magnus Sesodia , Shinichi Sunami , En Chang , Erik Rydow , Christopher J. Foot , Abel Beregi

Exact calculation of the condensate fraction in multi-dimensional inhomogeneous interacting Bose systems which do not possess continuous symmetries is a difficult computational problem. We have developed an iterative procedure which allows…

量子气体 · 物理学 2014-04-02 G. E. Astrakharchik , K. V. Krutitsky

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

We solve the time-dependent Gross-Pitaevskii in 2-D to simulate the flow of an object through a dilute Bose condensate trapped in a harmonic well. We demonstrate vortex formation and analyze the process in terms of the accumulation of…

统计力学 · 物理学 2007-05-23 B. Jackson , J. F. McCann , C. S. Adams

We study the dynamics of vortices in ideal and weakly interacting Bose-Einstein condensates using a Ritz minimization method to solve the two-dimensional Gross-Pitaevskii equation. For different initial vortex configurations we calculate…

量子物理 · 物理学 2007-10-03 Alexander Klein , Dieter Jaksch , Yanzhi Zhang , Weizhu Bao

I show how interaction corrections to the Bose condensation temperature of an atomic gas can be computed using a combination of perturbative effective field theory and lattice techniques.

高能物理 - 格点 · 物理学 2007-05-23 Guy D. Moore

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