Random Lindblad Dynamics
Abstract
The Lindblad superoperator is the generator of time translation for the quantum Markov master equation. We ask the question: what dynamics follow from a random Lindblad generator? To answer this, we define an ensemble of Lindblad superoperators using random matrix theory, and study the statistical properties its eigenvalues. In particular, we characterize the spectral gap (a.k.a. dissipative gap) which determines the asymptotic decay rate of typical operators in the Hilbert space. We find that the spectral gap is finite in the limit of infinite Hilbert space dimension, and described by a universal nonmonotonic scaling function of the dissipative coupling constant.
NSF Grant No. DMR1653271, NSF DMR Grant No. 1508538, USIsrael BSF Grant No. 2014265.
 Publication:

APS March Meeting Abstracts
 Pub Date:
 2019
 Bibcode:
 2019APS..MARX25011C