Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model

Details Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model Geometric Phase and Quantum Phase Transition in the Lipkin-Meshkov-Glick model

2006-08-26

arxiv.org/abs/quant-ph/0608203v1

Physics Letters A 360 (2006) 243?C248

Physics

Quantum Physics

6 pages and to be published in Phys.Lett.A

Scientific paper

10.1016/j.physleta.2006.08.040

The relation between the geometric phase and quantum phase transition has been discussed in the Lipkin-Meshkov-Glick model. Our calculation shows the ability of geometric phase of the ground state to mark quantum phase transition in this model. The possibility of the geometric phase or its derivatives as the universal order parameter of characterizing quantum phase transitions has been also discussed.

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