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Mean-field studies of Bose-Einstein condensates

William Hoston

Published Dec 1, 2000• 0 citations
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Mean field description of a Bose-Einstein condensate

WORLD SCIENTIFIC eBooks•Sep 1, 2011•0 citations

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Recent repoet on the formation of two-dimensional Bose-Einstein condensates (BECs) of spinning g-wave molecules is surprise. Here we study quantum phase transition in the quasi-2D atomic Bose gas with a g-wave Feshbach resonance, and show that there are two phase transitions in this system: from a phase with only a atomic Bose-Einstein condensate to a phase with coexistence of atomic and molecular condensation and from the coexistence phase to a phase with only a molecular Bose-Einstein condensate. We show that the g-wave resonance Feshbach has two features in the phase transitions, a phase with only a atomic Bose-Einstein condensate is no longer forbidden and resonance effects appear only at levels beyond the mean-field. We determine the T=0 beyond mean-field phase diagram of the gas as a function of magnetic field and molecular condensation density. We also detemine the ratio of atomic to molecular condensation in the coexistence phase, which can be tested in experiments.

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Quantum state portrayal of a Bose condensed gas

J. Rogel-Salazar, G.H.C. New, Seok Jin Choi +1 more

Summary form only given. With the realisation of Bose-Einstein condensation in dilute gases, it has been possible to study the dynamics of quantum fields at finite temperatures. The Gross-Pitaevskii equation (GPE) has proved to be a very useful tool for describing Bose-Einstein condensates (BECs) and has shown very good agreement with experimental results at low temperatures. In the present paper we apply the mean-field approximation to describe the quantum state of a Bose-Einstein condensate, using a phase-space representation to visualise such a state.

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Shun-Jin Wang

The sympathetic cooling of Bose-Einstein Condensate has been studied by virtue of quantum master equation and algebraic dynamics under mean field approximation. Soliton Excitations of Bose-Einstein Condensate have been investigated by nonlinear Schrdinger equation for the wave function of the condensate.

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Basic Mean-Field Theory for Bose-Einstein Condensates

P. G. Kevrekidis, D. J. Frantzeskakis, R. Carretero-González

Springer eBooks•Dec 29, 2007•8 citations
Recent repoet on the formation of two-dimensional Bose-Einstein condensates (BECs) of spinning g-wave molecules is surprise. Here we study quantum phase transition in the quasi-2D atomic Bose gas with a g-wave Feshbach resonance, and show that there are two phase transitions in this system: from a phase with only a atomic Bose-Einstein condensate to a phase with coexistence of atomic and molecular condensation and from the coexistence phase to a phase with only a molecular Bose-Einstein condensate. We show that the g-wave resonance Feshbach has two features in the phase transitions, a phase with only a atomic Bose-Einstein condensate is no longer forbidden and resonance effects appear only at levels beyond the mean-field. We determine the T=0 beyond mean-field phase diagram of the gas as a function of magnetic field and molecular condensation density. We also detemine the ratio of atomic to molecular condensation in the coexistence phase, which can be tested in experiments.
Summary form only given. With the realisation of Bose-Einstein condensation in dilute gases, it has been possible to study the dynamics of quantum fields at finite temperatures. The Gross-Pitaevskii equation (GPE) has proved to be a very useful tool for describing Bose-Einstein condensates (BECs) and has shown very good agreement with experimental results at low temperatures. In the present paper we apply the mean-field approximation to describe the quantum state of a Bose-Einstein condensate, using a phase-space representation to visualise such a state.