Quantum Work Relations and Response Theory in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Systems

Abstract

In this work, we show that a universal quantum work relation for a quantum system driven arbitrarily far from equilibrium extend to $\mathcal{P}\mathcal{T}$-symmetric quantum system with unbroken $\mathcal{P}\mathcal{T}$ symmetry, which is a consequence of microscopic reversibility. The quantum Jarzynski equality, linear response theory and Onsager reciprocal relations for the $\mathcal{P}\mathcal{T}$-symmetric quantum system are recovered as special cases of the universal quantum work relation in $\mathcal{P}\mathcal{T}$-symmetric quantum system. In the regime of broken $\mathcal{P}\mathcal{T}$ symmetry, the universal quantum work relation does not hold as the norm is not preserved during the dynamics.

arXiv comment6 pages

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Cited by in corpus (10)

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• Quantum Geometric Tensor in $\mathcal{P}\mathcal{T}$-Symmetric Quantum Mechanics
• Time-dependent $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics in generic non-Hermitian systems
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