Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-08-27
J. Phys. B: At. Mol. Opt. Phys. 41 (2008) 171001
Physics
Condensed Matter
Other Condensed Matter
9 pages, 3 figures
Scientific paper
10.1088/0953-4075/41/17/171001
We discuss the dynamics of an open two-mode Bose-Hubbard system subject to phase noise and particle dissipation. Starting from the full many-body dynamics described by a master equation the mean-field limit is derived resulting in an effective non-hermitian (discrete) Gross-Pitaevskii equation which has been introduced only phenomenologically up to now. The familiar mean-field phase space structure is substantially altered by the dissipation. Especially the character of the fixed points shows an abrupt transition from elliptic or hyperbolic to attractiv or repulsive, respectively. This reflects the metastable behaviour of the corresponding many-body system which surprisingly also leads to a significant increase of the purity of the condensate. A comparison of the mean-field approximation to simulations of the full master equation using the Monte Carlo wave function method shows an excellent agreement for wide parameter ranges.
Trimborn F.
Wimberger Sandro
Witthaut Dirk
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