Geometric Phase: a Diagnostic Tool for Entanglement
arXiv:1103.2587 · doi:10.1140/epjd/e2012-30211-5
Abstract
Using a kinematic approach we show that the non-adiabatic, non-cyclic, geometric phase corresponding to the radiation emitted by a three level cascade system provides a sensitive diagnostic tool for determining the entanglement properties of the two modes of radiation. The nonunitary, noncyclic path in the state space may be realized through the same control parameters which control the purity/mixedness and entanglement. We show analytically that the geometric phase is related to concurrence in certain region of the parameter space. We further show that the rate of change of the geometric phase reveals its resilience to fluctuations only for pure Bell type states. Lastly, the derivative of the geometric phase carries information on both purity/mixedness and entanglement/separability.
13 pages 6 figures
References in corpus (10)
- Quantum Computing with Very Noisy Devices
- Holonomic quantum computation in decoherence-free subspaces
- Abelian and non-Abelian geometric phases in adiabatic open quantum systems
- Fault-tolerant holonomic quantum computation
- Geometric phase distributions for open quantum systems
- Geometric Phase of a qubit interacting with a squeezed-thermal bath
- Dynamical invariants and nonadiabatic geometric phases in open quantum systems
- Entanglement dynamics via geometric phases in quantum spin chains
- The Nonlocal Pancharatnam Phase in Two-Photon Interferometry
- Tomography, Control and Characterization of Entanglement in Three level Atomic System