$\mathcal{PT-}$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917470094229504 |
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| author | Bose, Baibhab Tiwari, Devvrat Banerjee, Subhashish |
| author_facet | Bose, Baibhab Tiwari, Devvrat Banerjee, Subhashish |
| contents | The theory of a two-level $η$-Hermitian Hamiltonian with $\mathcal{PT}$ symmetry is reviewed and extended to include open system dynamics. A first-principles derivation of the generalized Gorini-Kossakowski-Sudarshan-Lindblad master equation appropriate for a $\mathcal{PT}-$symmetric Hamiltonian is presented. 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 two-level Hermitian counterparts. The nature of entanglement between two $\mathcal{PT-}$symmetric and Hermitian open quantum systems is calculated, and the contrast observed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16545 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathcal{PT-}$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets Bose, Baibhab Tiwari, Devvrat Banerjee, Subhashish Quantum Physics High Energy Physics - Theory The theory of a two-level $η$-Hermitian Hamiltonian with $\mathcal{PT}$ symmetry is reviewed and extended to include open system dynamics. A first-principles derivation of the generalized Gorini-Kossakowski-Sudarshan-Lindblad master equation appropriate for a $\mathcal{PT}-$symmetric Hamiltonian is presented. 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 two-level Hermitian counterparts. The nature of entanglement between two $\mathcal{PT-}$symmetric and Hermitian open quantum systems is calculated, and the contrast observed. |
| title | $\mathcal{PT-}$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.16545 |