Thermodynamics of an Open $\mathcal{PT-}$Symmetric Quantum System

• URL: http://arxiv.org/abs/2512.03935v1
• Date: Wed, 03 Dec 2025 16:33:02 GMT
• Title: Thermodynamics of an Open $\mathcal{PT-}$Symmetric Quantum System
• Authors: Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee,
• Abstract summary: A general $mathcalPT-$symmetric Hamiltonian obeying anti-commutation relation with its conjugate is studied.<n>The consistency of the three laws of thermodynamics for the $mathcalPT-$symmetric system in an open system scenario is also analyzed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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