Mixing times and cutoffs in open quadratic fermionic systems

25Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

In classical probability theory, the term cutoff describes the property of some Markov chains to jump from (close to) their initial configuration to (close to) completely mixed in a very narrow window of time. We investigate how coherent quantum evolution affects the mixing properties in two fermionic quantum models (the “gain/loss” and “topological” models), whose time evolution is governed by a Lindblad equation quadratic in fermionic operators, allowing for a straightforward exact solution. We check that the cutoff phenomenon extends to the quantum case and examine how the mixing properties depend on the initial state. In the topological case, we further show how the mixing properties are affected by the presence of a long-lived edge zero mode when taking open boundary conditions.

Cite

CITATION STYLE

APA

Vernier, E. (2020). Mixing times and cutoffs in open quadratic fermionic systems. SciPost Physics, 9(4). https://doi.org/10.21468/SCIPOSTPHYS.9.4.049

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free