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Eternal life of entropy in non-Hermitian quantum systems

Fring, A. ORCID: 0000-0002-7896-7161 and Frith, T. (2019). Eternal life of entropy in non-Hermitian quantum systems. Physical Review A: Atomic, Molecular and Optical Physics, 100, 010102(R). doi: 10.1103/PhysRevA.100.010102

Abstract

We find a different effect for the behavior of von Neumann entropy. For this we derive the framework for describing von Neumann entropy in non-Hermitian quantum systems and then apply it to a simple interacting PT-symmetric bosonic system. We show that our model is well defined even in the PT-broken regime with the introduction of a time-dependent metric and that it displays three distinct behaviors relating to the PT symmetry of the original time-independent Hamiltonian. When the symmetry is unbroken, the entropy undergoes rapid decay to zero (so-called “sudden death”) with a subsequent revival. At the exceptional point it decays asymptotically to zero and when the symmetry is spontaneously broken it decays asymptotically to a finite constant value (“eternal life”).

Publication Type: Article
Additional Information: © 2019 American Physical Society
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Date Deposited: 30 Jul 2019 10:21
URI: https://openaccess.city.ac.uk/id/eprint/22571
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