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The Bogoliubov equations of the quasi-particle excitations in a weakly interacting trapped Bose-condensate are solved in the WKB approximation in an isotropic harmonic trap, determining the discrete quasi-particle energies and wave…

Condensed Matter · Physics 2009-10-30 András Csordás , Robert Graham , Péter Szépfalusy

We investigate the level population statistics and degree of coherence encoded in the single-particle density matrix of harmonically trapped low-dimensional [quasi-one-dimensional (quasi-1D) or quasi-two-dimensional (quasi-2D)] Bose gases…

Quantum Gases · Physics 2010-07-22 Uwe R. Fischer , Philipp Bader

Taking advantage of the known exact mapping of the one-dimensional Hard Core Bose (HCB) fluid onto a non-interacting spinless fermion gas, we examine in full detail a thought experiment on cold atoms confined in a quasi-one-dimensional…

Quantum Gases · Physics 2020-10-08 Manuele Tettamanti , Sergio L. Cacciatori , Alberto Parola

We unveil a novel mechanism for quasicondensation of hard-core bosons in the presence of quasiperiodicity-induced multifractal single-particle states. The new critical state, here dubbed fractal quasicondensate, is characterized by natural…

Quantum Gases · Physics 2025-02-19 Flavio Riche , Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

We study the formation of a quasi-condensate in a nearly one dimensional, weakly interacting trapped atomic Bose gas. We show that a Hartree Fock (mean-field) approach fails to explain the presence of the quasi-condensate in the center of…

We analytically examine the dynamics of quasi-particle modes occuring in a Bose-Einstein condensate which is subject to a weak acceleration. It is shown that the momentum of a quasi-particle mode is squeezed rather than accelerated.

Statistical Mechanics · Physics 2009-10-31 Karl-Peter Marzlin , Weiping Zhang

A model for studying atomtronic devices and circuits based on finite temperature Bose-condensed gases is presented. The approach involves numerically solving equations of motion for atomic populations and coherences, derived using the…

Atomic Physics · Physics 2016-08-29 Weng W. Chow , Cameron J. E. Straatsma , Dana Z. Anderson

We report in situ measurements of density fluctuations in a quasi one dimensional Bose gas at thermal equilibrium in an elongated harmonic trap. We observe an excess of fluctuations compared to the shot noise level expected for uncorrelated…

It is demonstrated that measurements of positions of atoms scattered from a quasi-condensate in a Raman process provide information on the temperature of the parent cloud. In particular, the widths of the density and second order…

Quantum Gases · Physics 2013-01-28 T. Wasak , J. Chwedenczuk , P. Zin , M. Trippenbach

Bose condensation of quasiparticles in physical systems of finite size iz considered for the case of ferromagnetic thin films. It is shown that in accordance with present-day experimental capabilities which permit one to achieve densities…

Statistical Mechanics · Physics 2007-05-23 A. I. Bugrij , V. M. Loktev

The essence of the Thomas-Fermi model is the assumption that the local behavior of a many-body system can be approximated by that of a homogeneous system. In this paper, we present the natural extension of the static Thomas-Fermi treatment…

Condensed Matter · Physics 2009-09-25 Eddy Timmermans , Paolo Tommasini

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

We numerically study the imprinting and dynamics of dark solitons in a bosonic atomic gas in a tightly-confined one-dimensional harmonic trap both with and without an optical lattice. Quantum and thermal fluctuations are synthesized within…

Quantum Gases · Physics 2010-05-14 A. D. Martin , J. Ruostekoski

The combined effect of disorder and interactions is central to the richness of condensed matter physics and can lead to novel quantum states such as the Bose glass phase in disordered bosonic systems. Here, we report on the experimental…

Quantum Gases · Physics 2025-05-12 Jr-Chiun Yu , Shaurya Bhave , Lee Reeve , Bo Song , Ulrich Schneider

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 study, within a framework of the classical fields approximation, the density correlations of a weakly interacting expanding Bose gas for the whole range of temperatures across the Bose-Einstein condensation threshold. We focus on…

Quantum Gases · Physics 2015-10-09 Krzysztof Gawryluk , Mariusz Gajda , Miroslaw Brewczyk

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

We consider a simple model of the quasi-two-dimensional dipolar Bose gas confined in the one-dimensional square well potential. All dipoles are assumed to be oriented along the confining axis. By means of hydrodynamic approach it is shown…

Quantum Gases · Physics 2016-06-10 Volodymyr Pastukhov

We investigate the dynamic behavior of a Bose-condensed gas of alkali atoms interacting with repulsive forces and confined in a magnetic trap at zero temperature. Using the Thomas-Fermi approximation, we rewrite the Gross-Pitaevskii…

Condensed Matter · Physics 2009-10-28 F. Dalfovo , C. Minniti , S. Stringari , L. Pitaevskii

The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly we examine, by means of the large-$N$ expansion technique, the stability of mixed state…

Quantum Gases · Physics 2020-12-02 Orest Hryhorchak , Volodymyr Pastukhov