Dynamics of geometric phase in the adiabatic limit of quantum phase transition

Abstract

The geometric phase associated with a many body ground state exhibits a signature of quantum phase transition. In this context, we have studied the behaviour of the geometric phase during a linear quench caused by a gradual turning off of the magnetic field interacting with a spin chain.

5 pages, 1 eps fig. published version

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Cited by in corpus (6)

• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Geometry of quantum phase transitions
• Berry phase and fidelity susceptibility of the three-qubit Lipkin-Meshkov-Glick ground state
• Density of defects and the scaling law of the entanglement entropy in quantum phase transition of one dimensional spin systems induced by a quench
• Geometric phase in the Kitaev honeycomb model and scaling behavior at critical points
• The geometric phase and the dynamics of quantum phase transition induced by a linear quench