Solvable Markovian dynamics of lattice quantum spin models
Abstract
We address the real-time dynamics of lattice quantum spin models coupled to single or multiple Markovian dissipative reservoirs using the method of closed hierarchies of correlation functions. This approach allows us to solve a number of quantum spin models exactly in arbitrary dimensions, which is illustrated explicitly with two examples of driven-dissipative systems. We investigate their respective nonequilibrium steady states as well as the full real-time evolution on unprecedented system sizes. Characteristic time scales are derived analytically, which allows us to understand the nontrivial finite-size scaling of the dissipative gap. The corresponding scaling exponents are confirmed by solving numerically for the full real-time evolution of two-point correlation functions.
Cite
@article{arxiv.1705.00617,
title = {Solvable Markovian dynamics of lattice quantum spin models},
author = {D. Mesterházy and F. Hebenstreit},
journal= {arXiv preprint arXiv:1705.00617},
year = {2017}
}
Comments
6 pages, 2 figures; version accepted for publication in PRA