Abstract
To understand the typical dynamics of an open quantum system in continuous time, we introduce an ensemble of random Lindblad operators, which generate completely positive Markovian evolution in the space of the density matrices. The spectral properties of these operators, including the shape of the eigenvalue distribution in the complex plane, are evaluated by using methods of free probabilities and explained with non-Hermitian random matrix models. We also demonstrate the universality of the spectral features. The notion of an ensemble of random generators of Markovian quantum evolution constitutes a step towards categorization of dissipative quantum chaos.
- Received 4 December 2018
- Corrected 4 October 2019
DOI:https://doi.org/10.1103/PhysRevLett.123.140403
© 2019 American Physical Society
Physics Subject Headings (PhySH)
Corrections
4 October 2019
Correction: An incorrect affiliation for the fourth author was processed and has been fixed.