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

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dc.creatorTrimborn, F.
dc.creatorWitthaut, D.
dc.creatorKorsch, H. J.
dc.date2008-02-08
dc.date2008-10-28
dc.date.accessioned2026-07-07T12:55:52Z
dc.date.available2026-07-07T12:55:52Z
dc.descriptionThe 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, like the description of dynamical instabilities and chaotic dynamics. Moreover, it provides a valuable tool for a semi-classical 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 analyse 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.
dc.descriptionSignificantly enhanced and revised version (20 pages, 20 figures)
dc.identifierhttps://arxiv.org/abs/0802.1142
dc.identifierhttp://arxiv.org/abs/0802.1142
dc.identifierPhys. Rev. A 79, 013608 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.013608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224396
dc.subjectQuantum Physics
dc.titleBeyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
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