Eternal life of entropy in non-Hermitian quantum systems

A Fring, T Frith - Physical Review A, 2019 - APS
Physical Review A, 2019APS
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 …
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 -symmetric bosonic system. We show that our model is well defined even in the -broken regime with the introduction of a time-dependent metric and that it displays three distinct behaviors relating to the 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”).
American Physical Society
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