$\mathcal{PT-}$Symmetric Open Quantum Systems: Information Theoretic Facets

• URL: http://arxiv.org/abs/2505.16545v2
• Date: Fri, 23 May 2025 11:59:31 GMT
• Title: $\mathcal{PT-}$Symmetric Open Quantum Systems: Information Theoretic Facets
• Authors: Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee,
• Abstract summary: The theory of an $eta$-pseudo Hermitian Hamiltonian with $mathcalPT$ symmetry is reviewed and extended to include open system dynamics.<n>Inspired by a simple light matter interaction open system model, information theoretic quantities like a non-Markovian witness and fidelity are calculated for the $mathcalPT-$symmetric Hamiltonian.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The theory of an $\eta$-pseudo Hermitian Hamiltonian with $\mathcal{PT}$ symmetry is reviewed and extended to include open system dynamics. Inspired by a simple light matter interaction open system model, information theoretic quantities like a non-Markovian witness and fidelity are calculated for the $\mathcal{PT-}$symmetric Hamiltonian, and the results are compared with their corresponding Hermitian counterparts. The nature of entanglement between two $\mathcal{PT-}$symmetric and Hermitian open quantum systems is calculated, and the contrast observed.

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