# Kinetics of Bose-Einstein Condensation in a Trap

Source: [Kinetics of Bose-Einstein Condensation in a Trap](<https://www.sota2.com/research/paper/68fa248a2c2a3760193a5927>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:17:09.832Z

Authors: C.W. Gardiner, P. Zoller, R.J. Ballagh, M.J. Davis

Published: 1997-07-18T12:15:14.000Z

## Abstract

The formation process of a Bose-Einstein condensate in a trap is described using a master equation based on quantum kinetic theory, which can be well approximated by a description using only the condensate mode in interaction with a thermalized bath of noncondensate atoms. A rate equation of the form n = 2W(n)\[(1-exp((mu\_n - mu)/kT))n + 1\] is derived, in which the difference between the condensate chemical potential mu\_n and the bath chemical potential mu gives the essential behavior. Solutions of this equation, in conjunction with the theoretical description of the process of evaporative cooling, give a characteristic latency period for condensate formation and appear to be consistent with the observed behavior of both rubidium and sodium condensate formation.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/quant-ph/9707037>)

[PDF](<https://arxiv.org/pdf/quant-ph/9707037.pdf>)