English

Quantum correlations in $\mathcal{PT}$-symmetric systems

Quantum Physics 2021-01-29 v2 Mesoscale and Nanoscale Physics Mathematical Physics math.MP

Abstract

We study the dynamics of correlations in a paradigmatic setup to observe PT\mathcal{PT}-symmetric physics: a pair of coupled oscillators, one subject to a gain one to a loss. Starting from a coherent state, quantum correlations (QCs) are created, despite the system being driven only incoherently, and can survive indefinitely. PT\mathcal{PT} symmetry breaking is accompanied by non-zero stationary QCs. We link PT\mathcal{PT} symmetry breaking to the long-time behavior of both total and QCs, which display different scalings in the PT\mathcal{PT}-broken/unbroken phase and at the exceptional point (EP). This is analytically shown and quantitatively explained in terms of entropy balance. The EP in particular stands out as the most classical configuration.

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Cite

@article{arxiv.2002.11127,
  title  = {Quantum correlations in $\mathcal{PT}$-symmetric systems},
  author = {Federico Roccati and Salvatore Lorenzo and G. Massimo Palma and Gabriel T. Landi and Matteo Brunelli and Francesco Ciccarello},
  journal= {arXiv preprint arXiv:2002.11127},
  year   = {2021}
}
R2 v1 2026-06-23T13:53:42.599Z