2012/07/31 by Tomaz Prosen · 2 citations
Physics and Astronomy · Mathematics · #quant-ph #cond-mat.stat-mech #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.109.090404
published as Phys. Rev. Lett. 109, 090404 (2012) · Note [18] added with respect to a published version, explaining the symmetry of the matrix V [eq. (14)]
arxiv created 2012/08/30 · arxiv updated 2012/08/31
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.