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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• On the finite size behavior of quantum collective spin systems
• Berry phase and fidelity susceptibility of the three-qubit Lipkin-Meshkov-Glick ground state
• Geometric Phase and Quantum Phase Transition : Two-Band Model
• Unifying Geometric Entanglement and Geometric Phase in a Quantum Phase Transition
• Finite-Temperature Scaling of Magnetic Susceptibility and Geometric Phase in the XY Spin Chain
• Fidelity susceptibility and geometric phase in critical phenomenon
• Path dependent scaling of geometric phase near a quantum multi-critical point
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems