Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals

Details Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals

2007-09-07

arxiv.org/abs/0709.1048v2

Physica Scripta 78 (2008) 045007

Physics

Quantum Physics

16 pages

Scientific paper

10.1088/0031-8949/78/04/045007

We introduce a new class of unitary transformations based on the su(1,1) Lie algebra that generalizes, for certain particular representations of its generators, well-known squeezing transformations in quantum optics. To illustrate our results, we focus on the two-mode bosonic representation and show how the parametric amplifier model can be modified in order to generate such a generalized squeezing operator. Furthermore, we obtain a general expression for the bipartite Wigner function which allows us to identify two distinct sources of entanglement, here labelled by dynamical and kinematical entanglement. We also establish a quantitative estimate of entanglement for bipartite systems through some basic definitions of entropy functionals in continuous phase-space representations.

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