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In this paper, we study the stability of three-dimensional Bose-Einstein condensates of finite temperatures at which both elastic and inelastic collisions are taken into account. The modeled governing Gross-Pitaevski equation reveals…

Quantum Gases · Physics 2025-04-08 R. Sasireka , O. T. Lekeufack , S. Sabari , A. Uthayakumar

We analyze the dynamics of quantum statistics in a harmonically trapped Bose-Einstein condensate, whose two-body interaction strength is controlled via a Feshbach resonance. From an initially non-interacting coherent state, the quantum…

Other Condensed Matter · Physics 2008-02-19 S. Wuester , B. J. Dabrowska-Wuester , S. M. Scott , J. D. Close , C. M. Savage

We experimentally investigate the collapse dynamics of dipolar Bose- Einstein condensates of chromium atoms in different harmonic trap geometries, from prolate to oblate. The evolutions of the condensates in the unstable regime are compared…

Atomic Physics · Physics 2009-06-21 J Metz , T Lahaye , B Fröhlich , A Griesmaier , T Pfau , H Saito , Y Kawaguchi , M Ueda

Fragmented Bose-Einstein condensates are large systems of identical bosons displaying \emph{multiple} macroscopic occupations of one-body states, in a suitable sense. The quest for an effective dynamics of the fragmented condensate at the…

Mathematical Physics · Physics 2024-05-01 Jinyeop Lee , Alessandro Michelangeli

We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii equation for systems with two- and three-body interactions in an axially-symmetric harmonic trap. To this end, we use…

Quantum Gases · Physics 2013-03-08 Hamid Al-Jibbouri , Ivana Vidanovic , Antun Balaz , Axel Pelster

Ultracold molecules are associated from an atomic Bose-Einstein condensate by ramping a magnetic field across a Feshbach resonance. The reverse ramp dissociates the molecules. The kinetic energy released in the dissociation process is used…

Statistical Mechanics · Physics 2007-05-23 Stephan Dürr , Thomas Volz , Gerhard Rempe

We discuss the dynamics of a Bose-Einstein condensate initially loaded into every third site of an optical lattice using a description based upon the discrete nonlinear Schrodinger equation. An analytic solution is developed for the case of…

Soft Condensed Matter · Physics 2016-08-31 Ana M. Rey , P. B. Blakie , Charles W. Clark

A linear quantum dynamical theory for squeezing the output of the trapped Bose-Einstein condensate is presented with the Bogoliubov approximation. We observe that the non-classical properties, such as sub-Poisson distribution and quadrature…

Quantum Physics · Physics 2009-11-06 Hui Jing , Jing-Ling Chen , Mo-Lin Ge

The dynamical properties of partially coherent Bose-Einstein condensates in double wells are investigated in three typical regimes. In the extreme Fock regime, the time evolution of the degree of coherence is shown to decay rapidly. In the…

Quantum Gases · Physics 2010-01-21 Li-Hua Lu , You-Quan Li

We study the dynamical stability of the macroscopic quantum oscillations characterizing a system of three coupled Bose-Einstein condensates arranged into an open-chain geometry. The boson interaction, the hopping amplitude and the…

Quantum Gases · Physics 2009-07-27 P. Buonsante , R. Franzosi , V. Penna

We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate,…

We study numerically the coupling between a qubit and a Bose-Einstein condensate (BEC) moving in a kicked optical lattice, using Gross-Pitaevskii equation. In the regime where the BEC size is smaller than the lattice period, the chaotic…

Statistical Mechanics · Physics 2009-06-16 J. Martin , B. Georgeot , D. L. Shepelyansky

The dimensionality of a system profoundly influences its physical behaviour, leading to the emergence of different states of matter in many-body quantum systems. In lower dimensions, fluctuations increase and lead to the suppression of…

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling…

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we…

Mathematical Physics · Physics 2025-11-13 Marius Lemm , Simone Rademacher , Jingxuan Zhang

It is shown using the Gross-Pitaevskii equation that resonance states of Bose-Einstein condensates with attractive interactions can be stabilized into true bound states. A semiclassical variational approximation and an independent quantum…

Soft Condensed Matter · Physics 2007-05-23 Nimrod Moiseyev , L. D. Carr , Boris A. Malomed , Y. B. Band

We investigate the atomic diffractions of a Bose-Einstein condensate in quantized light fields. Situations in which the light fields are in number states or coherent states are studied theoretically. Analytical derivation and numerical…

Quantum Gases · Physics 2013-05-29 Peng Zhang , Jian-Hua Wu , Zhao-Yuan Ma , Heng Fan , Wu-Ming Liu

The dynamics of Josephson-like oscillations between two coupled Bose-Einstein condensates is studied using the time-dependent variational method. We suppose that the quantum state of the condensates is a gaussian wave-packet which can…

Soft Condensed Matter · Physics 2009-10-31 Chi-Yong Lin , E. J. V. de Passos , Da-Shin Lee

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
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