Geometric Phase in Entangled Bipartite Systems

Abstract

The geometric phase (GP) for bipartite systems in transverse external magnetic fields is investigated in this paper. Two different situations have been studied. We first consider two non-interacting particles. The results show that because of entanglement, the geometric phase is very different from that of the non-entangled case. When the initial state is a Werner state, the geometric phase is, in general, zero and moreover the singularity of the geometric phase may appear with a proper evolution time. We next study the geometric phase when intra-couplings appear and choose Werner states as the initial states to entail this discussion. The results show that unlike our first case, the absolute value of the GP is not zero, and attains its maximum when the rescaled coupling constant $J$ is less than 1. The effect of inhomogeneity of the magnetic field is also discussed.

5 pages and to be published in Euro. Phys. J. D

References in corpus (6)

• An experimental observation of geometric phases for mixed states using NMR interferometry
• Measurement of geometric phase for mixed states using single photon interferometry
• Berry phase in a composite system
• Kinematic approach to off-diagonal geometric phases of nondegenerate and degenerate mixed states
• Off-diagonal geometric phase in composite systems
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Cited by in corpus (4)

• Environmentally-induced effects on a bipartite two-level system: geometric phase and entanglement properties
• Non-Markovian Effects on the Geometric Phase
• Berry Phase in a Two-atom Jaynes-Cummings Model with Kerr Medium
• Entanglement dynamics via Geometric phases in Trapped-ions