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  Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase-space approach

Trimborn, F., Witthaut, D., & Korsch, H. J. (2009). Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase-space approach. Physical Review A, 79: 013608.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-132D-F Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-132E-D
Genre: Journal Article

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Trimborn, F., Author
Witthaut, Dirk1, Author              
Korsch, H. J., Author
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1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

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 Abstract: The number-conserving quantum phase space description of the Bose-Hubbard model is discussed for the illustrative case of two and three modes, as well as the generalization of the two-mode case to an open quantum system. The phase-space description based on generalized SU(M) coherent states yields a Liouvillian flow in the macroscopic limit, which can be efficiently simulated using Monte Carlo methods even for large systems. We show that this description clearly goes beyond the common mean-field limit. In particular it resolves well-known problems where the common mean-field approach fails, such as the description of dynamical instabilities and chaotic dynamics. Moreover, it provides a valuable tool for a semiclassical approximation of many interesting quantities, which depend on higher moments of the quantum state and are therefore not accessible within the common approach. As a prominent example, we analyze the depletion and heating of the condensate. A comparison to methods ignoring the fixed particle number shows that in this case artificial number fluctuations lead to ambiguities and large deviations even for quite simple examples.

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 Dates: 2009-01-13
 Publication Status: Published in print
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 Rev. Type: Peer
 Identifiers: eDoc: 449366
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Title: Physical Review A
Source Genre: Journal
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Pages: - Volume / Issue: 79 Sequence Number: 013608 Start / End Page: - Identifier: -