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. In particular, the character of the fixed points shows an abrupt transition from elliptic or hyperbolic to attractive 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 wavefunction method shows an excellent agreement for wide parameter ranges.

Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation / F., Trimborn; D., Witthaut; Wimberger, Sandro Marcel. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 41:17(2008), p. 171001. [10.1088/0953-4075/41/17/171001]

Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation

WIMBERGER, Sandro Marcel
2008-01-01

Abstract

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. In particular, the character of the fixed points shows an abrupt transition from elliptic or hyperbolic to attractive 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 wavefunction method shows an excellent agreement for wide parameter ranges.
2008
Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation / F., Trimborn; D., Witthaut; Wimberger, Sandro Marcel. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 41:17(2008), p. 171001. [10.1088/0953-4075/41/17/171001]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2696726
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