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Quantum Simulation Open Quantum Systems Decoherence Quantum Thermodynamics

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

arXiv
Authors: Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee

Year

2025

Paper ID

16246

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

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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  • For a subclass of a general mathcalPT-symmetric Hamiltonian obeying anti-commutation relation with its conjugate, a Hermitian basis is found that spans the bi-orthonormal...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.03935 [2] arXiv https://arxiv.org/abs/2512.03935 [3] Publisher https://arxiv.org/abs/2512.03935

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