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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

Theory for the Rabi and internal Josephson effects in an interacting Bose gas in the cold collision regime is presented. By using microscopic transport equation for the density matrix the problem is mapped onto a problem of precession of…

Atomic Physics · Physics 2008-04-12 M. O. Oktel , L. S. Levitov

We calculate the frequencies and damping rates of the low-lying collective modes of a Bose-Einstein condensed gas at nonzero temperature. We use a complex nonlinear Schr\"odinger equation to determine the dynamics of the condensate atoms,…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , H. T. C. Stoof

We develop a field integral formalism to study spin-orbit-coupled (SOC) Bose gases with arbitrary interspecies interaction. We identify various features arising from the interplay of SOC and interspecies interaction, including a roton…

Quantum Gases · Physics 2013-04-10 Renyuan Liao , Zhi-Gao Huang , Xiu-Min Lin , Wu-Ming Liu

We measure the power spectrum of the density distribution of a freely expanding 2D degenerate Bose gas, where irregular density modulations gradually develop due to the initial phase fluctuations in the sample. The spectrum has an…

Quantum Gases · Physics 2013-04-02 Jae-yoon Choi , Sang Won Seo , Woo Jin Kwon , Yong-il Shin

General theory in case of homogenous Bose-Einstein condensed systems with spinor condensate is presented for the correlation functions of density and spin fluctuations and for the one-particle propagators as well. The random phase…

Statistical Mechanics · Physics 2009-10-31 Peter Szepfalusy , Gergely Szirmai

Experiments on ultracold gases offer unparalleled opportunities to explore quantum many-body physics, with excellent control over key parameters including temperature, density, interactions and even dimensionality. In some systems, atomic…

Quantum Gases · Physics 2010-10-22 P. Wicke , S. Whitlock , N. J. van Druten

Properties of spin-1 Bose gases with ferromagnetic interaction in the presence of a nonzero magnetic field are studied. The equation of state and thermodynamic quantities are worked out with the help of a mean-field approximation. The phase…

Other Condensed Matter · Physics 2007-05-23 Krisztian Kis-Szabo , Peter Szepfalusy , Gergely Szirmai

In this paper limiting distribution functions of field and density fluctuations are explicitly and rigorously computed for the different phases of the Bose gas. Several Gaussian and non-Gaussian distribution functions are obtained and the…

Mathematical Physics · Physics 2007-05-23 J. Lauwers , A. Verbeure

Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

Mathematical Physics · Physics 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

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

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 dynamical instabilities of an ultracold Bose-Bose mixture with long-range dipole-dipole interactions, trapped in deep optical lattices and subject to periodically varying contact interaction. The effect of…

Quantum Gases · Physics 2025-03-25 Etienne Wamba , Jeremie Bai , A. Serge Tchakoutio Nguetcho

An effective action is obtained of a Bose gas in the bulk separated into two regions by a strong external potential depending on the single coordinate. The main attention is focused on the relaxation of the difference between phases of the…

Statistical Mechanics · Physics 2009-11-07 V. S. Babichenko

We theoretically study the out-of-equilibrium dynamics in momentum space of a weakly interacting disordered Bose gas launched with a finite velocity. In the absence of interactions, coherent multiple scattering gives rise to a background of…

Quantum Gases · Physics 2020-11-25 Thibault Scoquart , Thomas Wellens , Dominique Delande , Nicolas Cherroret

We use supercomputer simulations to show that inter-atomic interactions can strongly affect the phase evolution of Bose-Einstein condensates that are diffracted from atom chips, thereby explaining recent experiments. Interactions broaden…

Other Condensed Matter · Physics 2009-11-13 T. E. Judd , R. G. Scott , T. M. Fromhold

We consider an interacting, one-dimensional Bose gas confined in a split trap, obtained by an harmonic potential with a localized barrier at its center. We address its quantum-transport properties through the study of dipolar oscillations,…

Quantum Gases · Physics 2015-11-10 Marco Cominotti , Frank Hekking , Anna Minguzzi

We study the mechanical stability of the weakly interacting Bose gas with attractive interactions, and construct a unified picture of the collapse valid from the low temperature condensed regime to the high temperature classical regime. As…

Statistical Mechanics · Physics 2007-05-23 Erich J. Mueller , Gordon Baym

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble…

Statistical Mechanics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully

The performance of the positive P phase-space representation for exact many-body quantum dynamics is investigated. Gases of interacting bosons are considered, where the full quantum equations to simulate are of a Gross-Pitaevskii form with…

Statistical Mechanics · Physics 2009-11-10 P. Deuar , P. D. Drummond