Some remarks on the coherent-state variational approach to nonlinear boson models

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dc.creatorBuonsante, P.
dc.creatorPenna, V.
dc.date2008-06-06
dc.date.accessioned2026-07-07T11:51:27Z
dc.date.available2026-07-07T11:51:27Z
dc.descriptionThe mean-field pictures based on the standard time-dependent variational approach have widely been used in the study of nonlinear many-boson systems such as the Bose-Hubbard model. The mean-field schemes relevant to Gutzwiller-like trial states $|F>$, number-preserving states $|ξ>$ and Glauber-like trial states $|Z>$ are compared to evidence the specific properties of such schemes. After deriving the Hamiltonian picture relevant to $|Z>$ from that based on $|F>$, the latter is shown to exhibit a Poisson algebra equipped with a Weyl-Heisenberg subalgebra which preludes to the $|Z>$-based picture. Then states $|Z>$ are shown to be a superposition of $\cal N$-boson states $|ξ>$ and the similarities/differences of the $|Z>$-based and $|ξ>$-based pictures are discussed. Finally, after proving that the simple, symmetric state $|ξ>$ indeed corresponds to a SU(M) coherent state, a dual version of states $|Z>$ and $|ξ>$ in terms of momentum-mode operators is discussed together with some applications.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0806.1181
dc.identifierhttp://arxiv.org/abs/0806.1181
dc.identifierJ.Phys.A41:175301,2008
dc.identifierdoi:10.1088/1751-8113/41/17/175301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203907
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.titleSome remarks on the coherent-state variational approach to nonlinear boson models
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