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arXiv · 0709.1048

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

Marcelo A. Marchiolli·Diogenes Galetti
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Abstract

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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Marcelo A. Marchiolli, Diogenes Galetti. 2009-01-25. Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals. https://doi.org/10.1088/0031-8949%2F78%2F04%2F045007

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