Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model

Details Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model

2008-02-08

arxiv.org/abs/0802.1139v1

Phys. Rev. A 77, 043631 (2008)

Physics

Quantum Physics

11 pages, Revtex 4

Scientific paper

10.1103/PhysRevA.77.043631

The dynamics of M-site, N-particle Bose-Hubbard systems is described in quantum phase space constructed in terms of generalized SU(M) coherent states. These states have a special significance for these systems as they describe fully condensed states. Based on the differential algebra developed by Gilmore, we derive an explicit evolution equation for the (generalized) Husimi-(Q)- and Glauber-Sudarshan-(P)-distributions. Most remarkably, these evolution equations turn out to be second order differential equations where the second order terms scale as 1/N with the particle number. For large N the evolution reduces to a (classical) Liouvillian dynamics. The phase space approach thus provides a distinguished instrument to explore the mean-field many-particle crossover. In addition, the thermodynamic Bloch equation is analyzed using similar techniques.

Affiliated with

Also associated with

No associations

Rating

Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508471