Thermodynamics of an Open $\mathcal{PT-}$Symmetric Quantum System
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917122362310656 |
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| author | Bose, Baibhab Tiwari, Devvrat Banerjee, Subhashish |
| author_facet | Bose, Baibhab Tiwari, Devvrat Banerjee, Subhashish |
| contents | For a subclass of a general $\mathcal{PT}-$symmetric Hamiltonian obeying anti-commutation relation with its conjugate, a Hermitian basis is found that spans the bi-orthonormal energy eigenvectors. Using the modified projectors constructed from these eigenvectors, the generalized density matrix of the $\mathcal{PT}-$symmetric evolution is calculated, and subsequently, ergotropy for a closed system is obtained. The $\mathcal{PT}-$symmetric system, in an open system scenario, is studied to understand ergotropy under different regimes of non-Hermiticity of the Hamiltonian. The consistency of the three laws of thermodynamics for the $\mathcal{PT}-$symmetric system in an open system scenario is also analyzed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03935 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of an Open $\mathcal{PT-}$Symmetric Quantum System Bose, Baibhab Tiwari, Devvrat Banerjee, Subhashish Quantum Physics Statistical Mechanics For a subclass of a general $\mathcal{PT}-$symmetric Hamiltonian obeying anti-commutation relation with its conjugate, a Hermitian basis is found that spans the bi-orthonormal energy eigenvectors. Using the modified projectors constructed from these eigenvectors, the generalized density matrix of the $\mathcal{PT}-$symmetric evolution is calculated, and subsequently, ergotropy for a closed system is obtained. The $\mathcal{PT}-$symmetric system, in an open system scenario, is studied to understand ergotropy under different regimes of non-Hermiticity of the Hamiltonian. The consistency of the three laws of thermodynamics for the $\mathcal{PT}-$symmetric system in an open system scenario is also analyzed. |
| title | Thermodynamics of an Open $\mathcal{PT-}$Symmetric Quantum System |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2512.03935 |