Universal spectra of random Lindblad operators
Quantum Physics
2019-10-09 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
To understand typical dynamics of an open quantum system in continuous time, we introduce an ensemble of random Lindblad operators, which generate Markovian completely positive evolution in the space of density matrices. Spectral properties of these operators, including the shape of the spectrum in the complex plane, are evaluated by using methods of free probabilities and explained with non-Hermitian random matrix models. We also demonstrate universality of the spectral features. The notion of ensemble of random generators of Markovian qauntum evolution constitutes a step towards categorization of dissipative quantum chaos.
Cite
@article{arxiv.1811.12282,
title = {Universal spectra of random Lindblad operators},
author = {Sergey Denisov and Tetyana Laptyeva and Wojciech Tarnowski and Dariusz Chruściński and Karol Życzkowski},
journal= {arXiv preprint arXiv:1811.12282},
year = {2019}
}
Comments
6 pages, 4 figures + supplemental material