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The superfluid transition of a repulsive Bose gas in the presence of a sinusoidal potential which represents a simple-cubic optical lattice is investigate using quantum Monte Carlo simulations. At the average filling of one particle per…

Quantum Gases · Physics 2015-06-18 T. T. Nguyen , A. J. Herrmann , M. Troyer , S. Pilati

We provide an overview of the effects of interactions in Bose-condensed gases. We focus on phenomena that have been explored in ultracold atom experiments, covering both tuneable contact interactions and dipolar interactions. Our discussion…

Quantum Gases · Physics 2022-12-16 Christoph Eigen , Robert P. Smith

We investigate the behavior of a dilute quasi two-dimensional, harmonically confined, weakly interacting Bose gas within the finite-temperature Thomas-Fermi approximation. We find that the thermodynamic properties of the system are markedly…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Brandon P. van Zyl , R. K. Bhaduri , Justin Sigetich

We develop finite temperature theory for a trapped dipolar Bose gas including thermal exchange interactions. Previous treatments neglected these, difficult to compute, terms. We present a methodology for numerically evaluating the thermal…

Quantum Gases · Physics 2015-06-11 S. C. Cormack , D. A. W. Hutchinson

It is pointed out that first, contrary to the claim by Baym et al.[Phys. Rev. Lett 83, 1703 (1999)], the shift in the transition temperature of a weakly interacting Bose gas can be calculated perturbatively. And second, that the regime…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

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…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

For a non-interacting Bose gas on a lattice we compute the shift of the critical temperature for condensation when random-bond and onsite disorder are present. We evidence that the shift depends on the space dimensionality D and the filling…

Statistical Mechanics · Physics 2011-08-25 L. Dell'Anna , S. Fantoni , P. Sodano , A. Trombettoni

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

Bose-Einstein condensation in a Bose gas is studied analytically, in any positive dimensionality ($d>0$) for identical bosons with any energy-momentum positive-exponent ($s>0$) plus an energy gap $\Delta$ between the ground state energy…

Quantum Gases · Physics 2018-12-21 J. G. Martínez-Herrera , J. García-Nila , M. A. Solís

We examine a phase transition in a model of random spatial permutations which originates in a study of the interacting Bose gas. Permutations are weighted according to point positions; the low-temperature onset of the appearance of…

Statistical Mechanics · Physics 2015-05-14 John Kerl

We calculate the transition temperature of a uniform dilute Bose gas with repulsive interactions, using a known virial expansion of the equation of state. We find that the transition temperature is higher than that of an ideal gas, with a…

Condensed Matter · Physics 2009-10-31 K Huang

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…

Statistical Mechanics · Physics 2009-11-10 Z. Idziaszek , K. Rzazewski

We report on the computation of the shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the diluteness parameter a n^(1/3), where `a' is the scattering length and `n' is the…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening

The critical temperature and condensate fraction of a trapped interacting Bose gas are investigated when both atom-atom interaction and finite-size effects are taken into account. Canonical ensemble is used to obtain the equations on the…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang , Zhijun Xun , Cunyuan Zhang

We use a semiclassical two-fluid model to study the momentum distribution of a Bose-condensed gas with repulsive interactions inside a harmonic trap at finite temperature, with specific focus on atomic hydrogen. We give particular attention…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Patrizia Vignolo , Mario P. Tosi

The temperature dependence of the moment of inertia of a dilute Bose gas confined in a harmonic trap is determined. Deviations from the rigid value, due to the occurrence of Bose-Einstein condensation, reveal the superfluid behaviour of the…

Condensed Matter · Physics 2009-10-28 S. Stringari

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

Mathematical Physics · Physics 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

A detailed calculation of the real part of the finite temperature dynamic susceptibility of the free Bose gas is presented. After a short discussion on the different ways in which it can be calculated for temperatures above and below the…

Statistical Mechanics · Physics 2009-11-07 F. Mazzanti , A. Polls

Beyond standard approaches in existing literature, we explore the relative shift in the transition temperature of a homogeneous dilute Bose gas using the Cornwall-Jackiw-Tomboulis effective action formalism within the improved Hartree-Fock…

Quantum Gases · Physics 2024-10-01 Nguyen Van Thu , Pham Duy Thanh

Using a finite-temperature Path Integral Monte Carlo simulation (PIMC) method and finite-size scaling, we have investigated the interaction-induced shift of the phase transition temperature for Bose-Einstein condensation of homogeneous…

Statistical Mechanics · Physics 2009-11-10 Kwangsik Nho , D. P. Landau