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Thermodynamics of an open two-level <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow> <mml:mi>PT</mml:mi> </mml:mrow> </mml:mrow> </mml:math> -symmetric quantum system

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Authors: Baibhab Bose, Devvrat Tiwari, Subhashish Banerjee

Year

2026

Paper ID

77779

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

Abstract For a subclass of a general two-level PT -symmetric Hamiltonian obeying an 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 PT -symmetric evolution is calculated, and subsequently, ergotropy for a closed system is obtained. The 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 PT -symmetric system in an open system scenario is also analyzed.

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  • Abstract For a subclass of a general two-level PT -symmetric Hamiltonian obeying an anti-commutation relation with its conjugate, a Hermitian basis is found that spans the...

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