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

Abstract

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.

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

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• Entanglement in a second order quantum phase transition
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
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Cited by in corpus (5)

• Quantum Fidelity and Thermal Phase Transitions
• Geometric phases and quantum phase transitions
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Geometric Phase and Quantum Phase Transition : Two-Band Model
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems