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PhD thesis

Université Pierre et Marie Curie - Paris VI (09/11/2009), Dominique Delande (Dir.)

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Environment-induced dynamics in a dilute Bose-Einstein condensate

Alexej Schelle1

We directly model the quantum many particle dynamics during the transition of a gas of N indistinguishable bosons into a Bose-Einstein condensate. To this end, we develop a quantitative quantum master equation theory, which takes into account two body interaction processes, and in particular describes the particle number fluctuations characteristic for the Bose-Einstein phase transition. Within the Markovian dynamics assumption, we analytically prove and numerically verify the Boltzmann ergodicity conjecture for a dilute, weakly interacting Bose-Einstein condensate. The new physical bottom line of our theory is the direct microscopic monitoring of the Bose-Einstein distribution during condensate formation in real-time, after a sudden quench of the non-condensate atomic density above the critical density for Bose-Einstein condensation.

1:	LKB (Jussieu) - Laboratoire Kastler Brossel

keyword(s) : Bose-Einstein condensation – master equation theory – Boltzmann

Environment-induced dynamics in a dilute Bose-Einstein condensat

We directly model the quantum many particle dynamics during the transition of a gas of N indistinguishable bosons into a Bose-Einstein condensate. To this end, we develop a quantitative quantum master equation theory, which takes into account two body interaction processes, and in particular describes the particle number fluctuations characteristic for the Bose-Einstein phase transition. Within the Markovian dynamics assumption, we analytically prove and numerically verify the Boltzmann ergodicity conjecture for a dilute, weakly interacting Bose-Einstein condensate. The new physical bottom line of our theory is the direct microscopic monitoring of the Bose-Einstein distribution during condensate formation in real-time, after a sudden quench of the non-condensate atomic density above the critical density for Bose-Einstein condensation.

english keyword(s) : Bose-Einstein condensation – master equation theory – Boltzmann

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From: Alexej Schelle <>

Submitted on: Thursday, 3 December 2009 17:41:11

Updated on: Thursday, 3 December 2009 17:50:56