Quantum tricriticality and quantum phases in the Lipkin-Meshkov-Glick model

Details Quantum tricriticality and quantum phases in the Lipkin-Meshkov-Glick model Quantum tricriticality and quantum phases in the Lipkin-Meshkov-Glick model

2011-02-08

arxiv.org/abs/1102.1583v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure; submitted to Physical Review Letters

Scientific paper

We analyse the Lipkin-Meshkov-Glick model near, but not in, the thermodynamic (infinite-N) limit. The ground-state phase diagram is obtained, and extended to non-zero temperature using semiclassical methods. These calculations are supplemented by a direct quantum solution near the line V=0. We observe in particular: (a) a quantum tricritical point for negative W on the V=0 line, and (b) a quantum singlet phase for large positive W that is not accessible via semi-classical techniques. We discuss the relationship of the quantum tricritical point to the quantum critical points familiar from condensed matter theory, and outline prospects for future work.

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