Relation between concurrence and Berry phase of an entangled state of two spin 1/2 particles

Abstract

We have studied here the influence of the Berry phase generated due to a cyclic evolution of an entangled state of two spin 1/2 particles. It is shown that the measure of formation of entanglement is related to the cyclic geometric phase of the individual spins. \\

6 pages. Accepted in Europhys. Letters (likely to be published in vol 73, pp1-6 (2006))

References in corpus (9)

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• Distributed Entanglement
• Scaling of Entanglement close to a Quantum Phase Transitions
• High Temperature Macroscopic Entanglement
• Macroscopic entanglement jumps in model spin systems
• Berry phase in a composite system
• Berry phase in entangled systems: a proposed experiment with single neutrons
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• A Geometrical Approach towards Entanglement
• Entanglement dynamics via geometric phases in quantum spin chains
• Berry phase in superconducting charge qubits interacting with a cavity field
• Berry Phase in a Two-atom Jaynes-Cummings Model with Kerr Medium
• Spin-Orbit gauge and quantum spin Hall effect
• Density of defects and the scaling law of the entanglement entropy in quantum phase transition of one dimensional spin systems induced by a quench
• Dynamics of geometric phase in the adiabatic limit of quantum phase transition
• The geometric phase and the dynamics of quantum phase transition induced by a linear quench
• Experimentally testable geometric phase of sequences of Everett's relative quantum states
• Quantum criticality of geometric phase in coupled optical cavity arrays under linear quench
• Quantum phases and dynamics of geometric phase in a quantum spin chain system under linear quench
• Pancharatnam phase deficit can detect macroscopic entanglement