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We study density correlation functions for an impenetrable Bose gas in a finite box, with Neumann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the…

High Energy Physics - Theory · Physics 2009-10-30 T. Kojima

We analyse the stationary behaviour of correlations in a strongly correlated Bose gas out of equilibrium. The dynamics are triggered by a quench of the interaction starting from the strongly interacting limit where the system is in a…

Quantum Gases · Physics 2013-12-23 Peter Barmettler , Corinna Kollath

We study the condensate and superfluid fraction of a homogeneous gas of weakly interacting bosons in three spatial dimensions by adopting a self-consistent Popov approximation, comparing this approach with other theoretical schemes.…

Quantum Gases · Physics 2024-07-16 C. Vianello , L. Salasnich

The superfluid fraction of ideal and interacting inhomogeneous Bose gases with varying asymmetry is investigated at finite temperature using well-known properties of the harmonic oscillator as well as the essentially exact microscopic path…

Other Condensed Matter · Physics 2007-05-23 K. Nho , D. Blume

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…

Statistical Mechanics · Physics 2015-05-27 Andreas Klumper , Ovidiu I. Patu

By using exact Path Integral Monte Carlo methods we calculate the equation of state of an interacting Bose gas as a function of temperature both below and above the superfluid transition. The universal character of the equation of state for…

Other Condensed Matter · Physics 2013-08-09 S. Pilati , K. Sakkos , J. Boronat , J. Casulleras , S. Giorgini

We present a detailed Monte Carlo study of correlations in an interacting two-dimensional Bose gas. The data for one-particle density matrix in coordinate representation are compared to the results for the local many-particle density…

Condensed Matter · Physics 2007-05-23 Yu. Kagan , V. A. Kashurnikov , A. V. Krasavin , N. V. Prokof'ev , B. V. Svistunov

Spatially resolved relative phase measurement of two adjacent 1D Bose gases is enabled by matter-wave interference upon free expansion. However, longitudinal dynamics is typically ignored in the analysis of experimental data. We provide an…

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…

Quantum Gases · Physics 2014-03-10 Miłosz Panfil , Jean-Sébastien Caux

A collision of Bose-Einstein condensates is a useful source of single nonclassically correlated pairs of atoms. Here, we consider elastic scattering of atoms from elongated clouds taking into account an effective, finite duration of the…

Quantum Gases · Physics 2020-04-01 Pawel Zin , Tomasz Wasak , Denis Boiron , Christoph I. Westbrook

We present the complete phase diagram for one-dimensional binary mixtures of bosonic ultracold atomic gases in a harmonic trap. We obtain exact results with direct numerical diagonalization for small number of atoms, which permits us to…

We study an interacting Bose gas at T=0 under isotropic harmonic confinement within Density Functional Theory in the Local Density approximation. The energy density functional, which spans the whole range of positive scattering lengths up…

Quantum Gases · Physics 2015-06-22 Maurizio Rossi , Francesco Ancilotto , Luca Salasnich , Flavio Toigo

We investigate the Bose gas with repulsive or attractive interactions between atoms in the scheme of Bethe Ansatz equation in a hard wall trap. Three typical quantum phases in the current research of 1D interacting cold atoms are clarified…

Quantum Gases · Physics 2011-05-03 Hua Li , Taifeng Liu , Yaojiang Hao , Yunbo Zhang

In this paper the thermodynamical parameters of a condensed Boson gas are calculated from the partial derivative of the grand potential. In particular, the analytical expressions for some important parameters, such as the condensed…

Statistical Mechanics · Physics 2009-09-28 Ahmed S. Hassan , Shemi S. M. Soliman , Emad H. Soliman

We study experimentally the dissipative dynamics of ultracold bosonic gases in a dynamic disorder potential with tunable correlation time. First, we measure the heating rate of thermal clouds exposed to the dynamic potential and present a…

We consider the correlations and superfluid properties of a Bose gas in an external potential. Using a Bogoliubov scheme, we obtain expressions for the correlation function and the superfluid density in an arbitrary external potential.…

Disordered Systems and Neural Networks · Physics 2011-08-16 Alberto Cetoli , Emil Lundh

The singularities of the dynamical response function are one of the most remarkable effects in many-body interacting systems. However in one dimension these divergences only exist strictly at zero temperature, making their observation very…

Quantum Gases · Physics 2018-05-30 Jacopo De Nardis , Miłosz Panfil

We have studied thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. Deriving explicit expressions for thermodynamic quantities…

Quantum Gases · Physics 2015-07-10 Abdulla Rakhimov , Iman N. Askerzade

We consider weakly interacting bosonic gases with local and non-local multi-body interactions. By using the Bogoliubov approximation, we first investigate contact interactions, studying the case in which the interparticle potential can be…

Quantum Gases · Physics 2017-10-10 D. Laghi , T. Macrì , A. Trombettoni

Effective field theory predicts that the leading nonuniversal effects in the homogeneous Bose gas arise from the effective range for S-wave scattering and from an effective three-body contact interaction. We calculate the leading…

Statistical Mechanics · Physics 2009-10-31 Eric Braaten , H. -W. Hammer , Shawn Hermans