2015/12/24 by Lorenzo Campos Venuti, Paolo Zanardi · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.93.032101
published as Phys. Rev. A 93, 032101 (2016) · 9 pages, 3 figures, comments welcome
arxiv created 2015/12/24 · arxiv updated 2016/03/09
We discuss dynamical response theory of driven-dissipative quantum systems described by Markovian Master Equations generating semi-groups of maps. In this setting thermal equilibrium states are replaced by non-equilibrium steady states and dissipative perturbations are considered besides the Hamiltonian ones. We derive explicit expressions for the linear dynamical response functions for generalized dephasing channels and for Davies thermalizing generators. We introduce the notion of maximal harmonic response and compute it exactly for a single qubit channel. Finally, we analyze linear response near dynamical phase transitions in quasi-free open quantum systems. It is found that the effect of the dynamical phase transition shows up in a peak at the edge of the spectrum in the imaginary part of the dynamical response function.