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We calculate the two-particle local correlation for an interacting 1D Bose gas at finite temperature and classify various physical regimes. We present the exact numerical solution by using the Yang-Yang equations and Hellmann-Feynman…

Statistical Mechanics · Physics 2009-11-07 K. V. Kheruntsyan , D. M. Gangardt , P. D. Drummond , G. V. Shlyapnikov

Here we report on the experimental investigation of thermally induced fluctuations of the relative phase between two Bose-Einstein condensates which are coupled via tunneling. The experimental control over the coupling strength and the…

Other Condensed Matter · Physics 2009-11-11 Rudolf Gati , Boerge Hemmerling , Jonas Foelling , Michael Albiez , Markus K. Oberthaler

We systematically study the properties of dipolar Bose gases with two- and three-body contact interactions at finite temperature using the Hartree-Fock-Bogoliubov-Popov approximation. In uniform case, we obtain an exciting new extension of…

Quantum Gases · Physics 2017-05-29 Abdelaali Boudjemaa

The Bose-Einstein condensation of a dilute gas of rubidium-87 atoms was achieved by cooling a small number of atoms in a magnetic trap. The effective potential of the trap is to lowest order harmonic and under these conditions we estimate…

Condensed Matter · Physics 2007-05-23 H. Haugerud , F. Ravndal

We present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian,…

Statistical Mechanics · Physics 2009-11-10 B. Schmidt , L. I. Plimak , M. Fleischhauer

We discuss how it is possible to obtain a reliable approximation for the density of states for a system of particles in an anisotropic harmonic oscillator potential. A direct application of the result to study Bose-Einstein condensation of…

Condensed Matter · Physics 2009-10-28 Klaus Kirsten , David J. Toms

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

The second order response functions and susceptibilities of finite temperature Bose-Einstein Condensates (BEC) in a one dimensional harmonic trap driven by an external field that couples to the particle density are calculated by solving the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Choi , O. Berman , V. Chernyak , S. Mukamel

Using a field-theoretic approach, we systematically generalize the usual semiclassical approximation for a harmonically trapped ideal Bose gas in such a way that its range of applicability is essentially extended. With this we can…

Statistical Mechanics · Physics 2009-11-13 Ben Klünder , Axel Pelster

Motivated by the recent experiment [R. Lopes et. al., Phys. Rev. Lett. 119, 190404 (2017)] with a homogeneous Bose gas, we investigate a homogeneous dilute Bose gas to calculate the quantum depletion density. By means of the…

Quantum Gases · Physics 2022-06-22 Nguyen Van Thu , Jonas Berx

We predict the existence of a dip below unity in the second-order coherence function of a partially condensed ideal Bose gas in harmonic confinement, signaling the anticorrelation of density fluctuations in the sample. The dip in the…

Quantum Gases · Physics 2012-08-17 T. M. Wright , A. Perrin , A. Bray , J. Schmiedmayer , K. V. Kheruntsyan

Correlation effects of an electron gas in an external potential are derived using an Effective Action functional method. Corrections beyond the random phase approximation (RPA) are naturally incorporated by this method. The Effective Action…

Materials Science · Physics 2009-11-10 A. Rebei , W. N. G. Hitchon

We report on the realization of Bose-Einstein condensation of metastable helium-4. After exciting helium to its metastable state in a novel pulse-tube cryostat source, the atomic beam is collimated and slowed. We then trap several 10^8…

We investigate the interaction effect between atoms and the finite size effect of a Bose-Einstein gas at finite temperature. Using a mean field approach, we derive the thermodynamic potential on finite systems and obtain the condensate…

Statistical Mechanics · Physics 2007-05-23 Makoto Hiramoto

We present a theoretical study of condensation of bosons in tight binding bands corresponding to simple cubic, body centered cubic, and face centered cubic lattices. We have analyzed non-interacting bosons, weakly interacting bosons using…

Other Condensed Matter · Physics 2009-11-11 R. Ramakumar , A. N. Das

We compare the collective modes for Bose-condensed systems with two degenerate components with and without spontaneous intercomponent coherence at finite temperature using the time-dependent Hartree-Fock approximation. We show that the…

Other Condensed Matter · Physics 2015-06-25 C. -H. Zhang , H. A. Fertig

Using a multiple-image reconstruction method applied to a harmonically trapped Bose gas, we determine the equation of state of uniform matter across the critical transition point, within the local density approximation. Our experimental…

Quantum Gases · Physics 2020-10-14 C. Mordini , D. Trypogeorgos , A. Farolfi , L. Wolswijk , S. Stringari , G. Lamporesi , G. Ferrari

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive…

Statistical Mechanics · Physics 2009-10-30 Peter Grüter , David Ceperley , Franck Laloë

We consider a model of a dilute Bose-Einstein condensed gas at finite temperatures, where the condensate coexists in a trap with a cloud of thermal excitations. Within the ZGN formalism, the dynamics of the condensate is described by a…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

We theoretically analyze dissociation of a harmonically trapped Bose-Einstein condensate of molecular dimers and examine how the spatial inhomogeneity of the molecular condensate affects the conversion dynamics and the atom-atom pair…

Quantum Gases · Physics 2015-03-13 Magnus Ogren , K. V. Kheruntsyan
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