PT-symmetric quantum Liouvillian dynamics
Quantum Physics
2012-08-31 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We discuss a combination of unitary and anti-unitary symmetry of quantum Liouvillian dynamics, in the context of open quantum systems, which implies a D2 symmetry of the complex Liovillean spectrum. For sufficiently weak system-bath coupling it implies a uniform decay rate for all coherences, i.e. off-diagonal elements of the system's density matrix taken in the eigenbasis of the Hamiltonian. As an example we discuss symmetrically boundary driven open XXZ spin 1/2 chains.
Cite
@article{arxiv.1207.4395,
title = {PT-symmetric quantum Liouvillian dynamics},
author = {Tomaz Prosen},
journal= {arXiv preprint arXiv:1207.4395},
year = {2012}
}
Comments
Note [18] added with respect to a published version, explaining the symmetry of the matrix V [eq. (14)]