Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation
Abstract
We consider the real-time evolution of a strongly coupled system of lattice fermions whose dynamics is driven entirely by dissipative Lindblad processes, with linear or quadratic quantum jump operators. The fermion 2-point functions obey a closed set of differential equations, which can be solved with linear algebra methods. The staggered occupation order parameter of the t-V model decreases exponentially during the dissipative time evolution. The structure factor associated with the various Fourier modes shows the slowing down of low-momentum modes, which is due to particle number conservation. The processes with nearest-neighbor-dependent Lindblad operators have a decay rate that is proportional to the coordination number of the spatial lattice.
Cite
@article{arxiv.1512.00412,
title = {Real-Time Evolution of Strongly Coupled Fermions driven by Dissipation},
author = {Emilie Huffman and Debasish Banerjee and Shailesh Chandrasekharan and Uwe-Jens Wiese},
journal= {arXiv preprint arXiv:1512.00412},
year = {2016}
}
Comments
15 pages, 4 figures