Segal-Bargmann type spaces related to non-rotational measure, and entanglement of bipartite squeezed coherent states

• URL: http://arxiv.org/abs/2412.04863v2
• Date: Fri, 27 Dec 2024 12:36:59 GMT
• Title: Segal-Bargmann type spaces related to non-rotational measure, and entanglement of bipartite squeezed coherent states
• Authors: K. Górska, A. Horzela, D. Kołaczek, B. J. Spisak, F. H. Szafraniec,
• Abstract summary: Entanglement of bipartite squeezed states generated by holomorphic Hermite functions of two complex variables is investigated. Two-particle quantum-mechanical system is developed to illustrate the presented findings.
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• Abstract: Entanglement of bipartite squeezed states generated by holomorphic Hermite functions of two complex variables is investigated using phase-space approach based on the Wigner distribution function. Orthogonality of the holomorphic Hermite functions implies the relationship between certain real parameter associated with the non-rotational measure in the Bargmann space and the squeezing parameter. The mutual relation between squeezing and entanglement is elucidated with the help of Peres-Horodecki positive partial transpose criterion formulated in the phase-space version for continuous-variable systems. The quantitative characteristics of the entanglement is determined using the log-negativity criterion. The oscillator-like model of a two-particle quantum-mechanical system is developed to illustrate the presented findings.

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