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We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In the local case, we find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the…

Quantum Gases · Physics 2012-12-07 Abdelâali Boudjemâa

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low…

Other Condensed Matter · Physics 2008-09-11 A. Bezett , E. Toth , P. B. Blakie

We consider dynamic, i.e., frequency-dependent, correlations in non-condensed ultracold atomic Bose gases. In particular, we consider the single-particle correlation function and its power spectrum. We compute this power spectrum for a…

Quantum Gases · Physics 2014-03-05 A. Bezett , H. J. van Driel , M. P. Mink , H. T. C. Stoof , R. A. Duine

We discuss the thermodynamics of a non-relativistic gas of bosons with a local repulsive interaction. In particular, we compute the temperature and density dependence of pressure, energy and entropy-density, superfluid and…

Quantum Gases · Physics 2009-06-12 S. Floerchinger , C. Wetterich

The truncated Wigner and positive-P phase-space representations are used to study the dynamics of a one-dimensional Bose gas. This allows calculations of the breathing quantum dynamics of higher-order solitons with 10^{3}-10^{5} particles,…

Quantum Gases · Physics 2019-05-29 King Lun Ng , Bogdan Opanchuk , Margaret D. Reid , Peter D. Drummond

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…

Atomic Physics · Physics 2009-10-31 M. Holzmann , Y. Castin

We have investigated the correlation functions of interacting bosons at the generic superfluid-insulator transition, a prototypical quantum phase transition, in two dimensions in the spherical limit. Unexpectedly the spatial correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Min-Chul Cha

Zero temperature properties of a dilute weakly interacting $d$-dimensional Bose gas in a random potential are studied. We calculate geometrical and energetic characteristics of the localized state of a gas confined in a large box or in a…

Quantum Physics · Physics 2015-05-13 G. M. Falco , T. Nattermann , V. L. Pokrovsky

We consider the K-body local correlations in the (repulsive) 1D Bose gas for general K, both at finite size and in the thermodynamic limit. Concerning the latter we develop a multiple integral formula which applies for arbitrary states of…

Statistical Mechanics · Physics 2015-05-30 B. Pozsgay

We explore the far-from-equilibrium dynamics of Bose gases in a universal regime associated to nonthermal fixed points. While previous investigations concentrated on scaling functions and exponents describing equal-time correlations, we…

Quantum Gases · Physics 2017-05-10 A. Schachner , A. Piñeiro Orioli , J. Berges

We theoretically investigate collective modes of a one-dimensional (1D) interacting Bose gas in harmonic traps at finite temperatures, by using a variational approach and local density approximation. We find that the temperature dependence…

Quantum Gases · Physics 2015-01-23 Hui Hu , Gao Xianlong , Xia-Ji Liu

We investigate the thermodynamics of one-dimensional Bose gases in the strongly correlated regime. To this end, we prepare ensembles of independent 1D Bose gases in a two-dimensional optical lattice and perform high-resolution in situ…

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…

Quantum Gases · Physics 2015-11-03 Ovidiu I. Patu , Andreas Klumper

We show that the chemical potential of a one-dimensional (1D) interacting Bose gas exhibits a non-monotonic temperature dependence which is peculiar of superfluids. The effect is a direct consequence of the phononic nature of the excitation…

Quantum Gases · Physics 2017-07-12 Giulia De Rosi , Grigori E. Astrakharchik , Sandro Stringari

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…

Statistical Mechanics · Physics 2011-02-16 Jean-Sebastien Caux , Pasquale Calabrese , Nikita A. Slavnov

We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our…

Statistical Mechanics · Physics 2025-03-25 Attila Takács , Yicheng Zhang , Pasquale Calabrese , Jerôme Dubail , Marcos Rigol , Stefano Scopa

We outline an interferometric scheme for the detection of bi-mode and multi-mode spatial entanglement of finite-temperature,interacting Bose gases of fixed particle number. Whether entanglement is present in the gas depends on the existence…

Quantum Physics · Physics 2013-06-18 J. Goold , Libby Heaney , Th. Busch , V. Vedral

We study first and second order coherence of trapped dilute Bose gases using appropriate correlation functions. Special attention is given to the discussion of second order or density correlations. Except for a small region around the…

Condensed Matter · Physics 2009-10-31 M. Naraschewski , R. J. Glauber

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…

Quantum Gases · Physics 2011-12-12 Marton Kormos , Yang-Zhi Chou , Adilet Imambekov

The dependence of the three lowest order spatial correlation functions of a harmonically confined Bose gas on temperature and interaction strength is presented at equilibrium. Our analysis is based on a stochastic Langevin equation for the…

Other Condensed Matter · Physics 2009-11-11 N. P. Proukakis