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We investigate the finite temperature properties of the one-dimensional two-component Bose gas (2CBG) with repulsive contact interaction in a harmonic trap. Making use of a new lattice embedding for the 2CBG and the quantum transfer matrix…

量子气体 · 物理学 2015-11-03 Ovidiu I. Patu , Andreas Klumper

We investigate the low temperature behaviour of the integrable 1D two-component spinor Bose gas using the thermodynamic Bethe ansatz. We find that for strong coupling the characteristics of the thermodynamics at low temperatures are…

统计力学 · 物理学 2007-10-22 X. -W. Guan , M. T. Batchelor , M. Takahashi

The momentum- and frequency-dependent one-body correlation function of the one-dimensional interacting Bose gas (Lieb-Liniger model) in the repulsive regime is studied using the Algebraic Bethe Ansatz and numerics. We first provide a…

统计力学 · 物理学 2011-02-16 Jean-Sebastien Caux , Pasquale Calabrese , Nikita A. Slavnov

We present a new method of obtaining nonlinear integral equations characterizing the thermodynamics of one-dimensional multi-component gases interacting via a delta-function potential. In the case of the repulsive two-component Bose gas we…

统计力学 · 物理学 2015-05-27 Andreas Klumper , Ovidiu I. Patu

The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed using a hybrid theoretical/numerical method based on the exact Bethe Ansatz solution, which…

统计力学 · 物理学 2009-11-11 J. -S. Caux , P. Calabrese

The behavior of the spatial two-particle correlation function is surveyed in detail for a uniform 1D Bose gas with repulsive contact interactions at finite temperatures. Both long-, medium-, and short-range effects are investigated. The…

其他凝聚态物理 · 物理学 2015-05-13 P. Deuar , A. G. Sykes , D. M. Gangardt , M. J. Davis , P. D. Drummond , K. V. Kheruntsyan

We consider the low-temperature limit of the long-distance asymptotic behavior of the finite temperature density-density correlation function in the one-dimensional Bose gas derived recently in the algebraic Bethe ansatz framework. Our…

数学物理 · 物理学 2011-03-31 K. K. Kozlowski , J. M. Maillet , N. A. Slavnov

We use the coordinate Bethe ansatz to exactly calculate matrix elements between eigenstates of the Lieb-Liniger model of one-dimensional bosons interacting via a two-body delta-potential. We investigate the static correlation functions of…

量子气体 · 物理学 2016-04-15 J. C. Zill , T. M. Wright , K. V. Kheruntsyan , T. Gasenzer , M. J. Davis

We derive exact analytic expressions for the $n$-body local correlations in the one-dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the thermodynamic limit. Our results are valid for arbitrary states of the…

量子气体 · 物理学 2018-05-14 Alvise Bastianello , Lorenzo Piroli , Pasquale Calabrese

The correlation function is an important quantity in the physics of ultracold quantum gases because it provides information about the quantum many-body wave function beyond the simple density profile. In this paper we first study the…

量子气体 · 物理学 2016-06-22 E. J. K. P. Nandani , Rudolf A. Roemer , Shina Tan , Xi-Wen Guan

The interplay of quantum statistics, interactions and temperature is studied within the framework of the bosonic two-component theory with repulsive delta-function interaction in one dimension. We numerically solve the thermodynamic Bethe…

量子气体 · 物理学 2011-09-05 Antoine Klauser , Jean-Sébastien Caux

We address the problem of calculating finite-temperature response functions of an experimentally relevant low-dimensional strongly-correlated system: the integrable 1D Bose gas with repulsive \delta-function interaction (Lieb-Liniger…

量子气体 · 物理学 2014-03-10 Miłosz Panfil , Jean-Sébastien Caux

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

量子气体 · 物理学 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

We develop an analytical method for calculating local correlations in strongly interacting 1D Bose gases, based on the exactly solvable Lieb-Liniger model. The results are obtained at zero and finite temperatures. They describe the…

统计力学 · 物理学 2009-11-10 D. M. Gangardt , G. V. Shlyapnikov

We describe a Bethe ansatz based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density-density correlation function in the interacting one-dimensional…

数学物理 · 物理学 2011-06-02 K. K. Kozlowski , J. M. Maillet , N. A. Slavnov

We use the coordinate Bethe ansatz to study the Lieb-Liniger model of a one-dimensional gas of bosons on a finite-sized ring interacting via an attractive delta-function potential. We calculate zero-temperature correlation functions for…

量子气体 · 物理学 2018-02-27 Jan C. Zill , Tod M. Wright , Karen V. Kheruntsyan , Thomas Gasenzer , Matthew J. Davis

We investigate the ground-state properties of two-component Bose gases confined in one-dimensional harmonic traps in the scheme of density-functional theory. The density-functional calculations employ a Bethe-ansatz-based local-density…

强关联电子 · 物理学 2009-10-15 Yajiang Hao , Shu Chen

We derive an exact analytic expression for the three-body local correlations in the Lieb-Liniger model of 1D Bose gas with contact repulsion. The local three-body correlations control the thermalization and particle loss rates in the…

量子气体 · 物理学 2011-12-12 Marton Kormos , Yang-Zhi Chou , Adilet Imambekov

We analytically calculate the spatial nonlocal pair correlation function for an interacting uniform 1D Bose gas at finite temperature and propose an experimental method to measure nonlocal correlations. Our results span six different…

其他凝聚态物理 · 物理学 2009-11-13 A. G. Sykes , D. M. Gangardt , M. J. Davis , K. Viering , M. G. Raizen , K. V. Kheruntsyan

We propose an experimental approach for determining thermodynamic properties of ultracold atomic gases with short-range interactions. As a test case, we focus on the one-dimensional (1D) Bose gas described by the integrable Lieb-Liniger…

量子气体 · 物理学 2024-03-08 Matthew L. Kerr , Karen V. Kheruntsyan
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