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Phys. Rev. A 58, 4824–4835 (1998)

Dynamical quantum noise in trapped Bose-Einstein condensates

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M. J. Steel1,2, M. K. Olsen1,*, L. I. Plimak1, P. D. Drummond1,3,4, S. M. Tan1, M. J. Collett1, D. F. Walls1, and R. Graham1,5
1Department of Physics, University of Auckland, Private Bag 92 019, Auckland, New Zealand
2School of Mathematics, Physics, Computing and Electronics, Macquarie University, North Ryde, New South Wales 2109, Australia
3Institute for Theoretical Physics, University of California at Santa Barbara, Santa Barbara, California 93106-4030
4Department of Physics, University of Queensland, St. Lucia, Queensland 4072, Australia
5Fachbereich Physik, Universität Gesamthochschule Essen, D45117, Essen, Germany

Received 27 July 1998; published in the issue dated December 1998

We introduce the study of dynamical quantum noise in Bose-Einstein condensates through numerical simulation of stochastic partial differential equations obtained using phase-space representations. We derive evolution equations for a single trapped condensate in both the positive-P and Wigner representations and perform simulations to compare the predictions of the two methods. The positive-P approach is found to be highly susceptible to the stability problems that have been observed in other strongly nonlinear, weakly damped systems. Using the Wigner representation, we examine the evolution of several quantities of interest using from a variety of choices of initial state for the condensate and compare results to those for single-mode models.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.58.4824
DOI:
10.1103/PhysRevA.58.4824
PACS:
03.75.Fi, 05.30.Jp, 32.80.Pj

*Present address: Laboratório de Ótica Quântica, Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, São Paulo, São Paulo 05389-970, Brazil.

 
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