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We derive a mean-field description for two-dimensional (2D) interacting Bose gases at arbitrary temperatures. We find that genuine Bose-Einstein condensation with long-range coherence only survives at zero temperature. At finite…

Quantum Gases · Physics 2014-05-29 Chih-Chun Chien , Jianhuang She , Fred Cooper

Most of the work done in the field of Bose-Einstein condensates with balanced gain and loss has been performed in the mean-field approximation using the PT-symmetric Gross-Pitaevskii equation. In this work we study the many-particle…

Quantum Physics · Physics 2016-11-09 Dennis Dast , Daniel Haag , Holger Cartarius , Jörg Main , Günter Wunner

The dynamics of interacting quantum vortices in a quasi-two-dimensional spatially inhomogeneous Bose-Einstein condensate, whose equilibrium density vanishes at two points of the plane with a possible presence of an immobile vortex with a…

Quantum Gases · Physics 2017-06-01 V. P. Ruban

We study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly…

Other Condensed Matter · Physics 2009-09-29 Uttam Shrestha

The dynamical evolution of a Bose-Einstein condensate trapped in a one-dimensional lattice potential is investigated theoretically in the framework of the Bose-Hubbard model. The emphasis is set on the far-from-equilibrium evolution in a…

Other Condensed Matter · Physics 2008-09-08 Kristan Temme , Thomas Gasenzer

We study the dynamics of two-component Bose-Einstein condensates in periodic potentials in one dimension. Elliptic potentials which have the sinusoidal optical potential as a special case are considered. We construct exact nonstationary…

Pattern Formation and Solitons · Physics 2009-11-10 R. Mark Bradley , Bernard Deconinck , J. Nathan Kutz

We revisit dipolar motion of condensate atoms in one-dimensional optical lattices and harmonic magnetic traps including quantum fluctuations within the truncated Wigner approximation. In the strong tunneling limit we reproduce the meanfield…

Soft Condensed Matter · Physics 2007-05-23 Anatoli Polkovnikov , Daw-Wei Wang

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

We study the scissors modes of a harmonically trapped Bose-Einstein condensate under the influence of a synthetic magnetic field, which induces rigid rotational components in the velocity field. Our investigation reveals that the scissors…

Quantum Gases · Physics 2023-09-07 Chunlei Qu , Chuan-Hsun Li , Yong P. Chen , Sandro Stringari

Quantum evolution of a collective mode of a Bose-Einstein condensate containing a finite number N of particles shows the phenomena of collapses and revivals. The characteristic collapse time depends on the scattering length, the initial…

Condensed Matter · Physics 2016-08-31 A. B. Kuklov , N. Chencinski , A. M. Levine , W. M. Schreiber , Joseph L. Birman

The advent of controlled experimental accessibility of Bose-Einstein condensates, as realized with e.g. cold atomic gases, exciton-polaritons, and more recently photons in a dye-filled optical microcavity, has paved the way for new studies…

Quantum Gases · Physics 2017-01-23 Julian Schmitt , Tobias Damm , David Dung , Frank Vewinger , Jan Klaers , Martin Weitz

We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or spin hyperfine states coupled by a two-photon transition via an intermediate level. Due to the macroscopic…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

We observe the coherence of an interacting two-component Bose-Einstein condensate (BEC) surviving for seconds in a trapped Ramsey interferometer. Mean-field driven collective oscillations of two components lead to periodic dephasing and…

We investigate the dynamics of a homogenous Bose-Einstein condensate (BEC) following a sudden quench of the scattering length. Our focus is the time evolution of short-range correlations via the dynamical contact. We compute the dynamics…

Quantum Gases · Physics 2015-06-22 John P. Corson , John L. Bohn

We have studied the internal and external dynamics of a Bose-Einstein condensate in an anharmonic magnetic waveguide. An oscillating condensate experiences a strong coupling between the center of mass motion and the internal collective…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortágh , S. Kraft , A. Günther , D. Komma , C. Zimmermann

We investigate two solvable models for Bose-Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of…

Quantum Gases · Physics 2012-04-27 D. Rubeni , A. Foerster , E. Mattei , I. Roditi

The present paper suggests the continuum theory of Tkachenko modes in a rotating 2D Bose-Einstein condensate taking into account density inhomogeneity and compressibility of the condensate. The problem requires solution of coupled…

Soft Condensed Matter · Physics 2009-11-10 E. B. Sonin

A dynamical many-body theory is presented which systematically extends beyond mean-field and perturbative quantum-field theoretical procedures. It allows us to study the dynamics of strongly interacting quantum-degenerate atomic gases. The…

Other Condensed Matter · Physics 2010-02-04 Thomas Gasenzer , Juergen Berges , Michael G. Schmidt , Marcos Seco

We study the properties of a magnetic dipolar Bose-Einstein condensate (BEC) in an elongated (cigar shaped) confining potential in the beyond quasi-one-dimensional (quasi-1D) regime. In this system the dipole-dipole interactions (DDIs)…

Quantum Gases · Physics 2020-10-14 Sukla Pal , D. Baillie , P. B. Blakie

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham
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