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Physics Letters A

The q-deformed Lipkin-Meshkov-Glick model for many-fermion systems with the quantum symmetry of SUq(2)

Jianming Li, Chang-Pu Sun

Published Aug 1, 1993• 6 citations
Publisher
DOI
10.1016/0375-9601(93)90493-j

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•Jan 1, 2001•1 citation
In this paper, we have used the q-deformed version of the Lipkin-Meshkov-Glick (LMG) model to summarize the utilization of quantum algebras already applied to soluble pseudospin models. Within the suq(2) context, we have checked the validity of the co herent states variational method, then used the Time Dependent Hartree-Fock (TDHF) approximation to compare with the exact evolution in time of the system, and finally observed the temperature effects undergone by the system, through the study of the Helmholtz free energy. We have also investigated the LMG model within the contexts of the supq(2) and suq(3) algebras and some of the features mentioned above have been rediscussed.