2025/12/03 by Bose, Baibhab, Tiwari, Devvrat, Banerjee, Subhashish
#FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2512.03935
For a subclass of a general 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 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.