City Research Online

Eternal life of entropy in non-Hermitian quantum systems

Fring, A. ORCID: 0000-0002-7896-7161 & Frith, T. (2019). Eternal life of entropy in non-Hermitian quantum systems. Physical Review A: Atomic, Molecular and Optical Physics, 100(1), article number 010102. doi: 10.1103/physreva.100.010102


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 Science & Technology > Mathematics
SWORD Depositor:
[thumbnail of PhysRevA.100.010102.pdf]
Text - Published Version
Download (303kB) | Preview


Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email


Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login