S. N. Sandhya, Subhashish Banerjee. Geometric Phase: a Diagnostic Tool for Entanglement
Submitted on: Oct 06, 2012, 07:50:46
Natural Sciences / Physics / Quantum field theory
Description: 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.
The abstract of this article will be published in the October 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.
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