Year: 2019
Type: article
Abstract: We study an open quantum system of free fermions on an infinite lattice coupled to a localized particle source. In the long time limit, the total number of fermions in the system increases linearly with growth rate dependent on the lattice geometry and dimensionality. We express the growth rate in terms of lattice Green functions and derive explicit formulae in one dimension and for the square lattice. The interplay between the dynamics and the coupling to the environment leads, in contrast to classical systems, to a non-monotonic dependence of the particle growth rate on the input rate. We show that for all lattices the particle growth rate is inversely proportional to the input rate when the latter becomes large. This is a manifestation of the quantum Zeno effect.
Authors: P L Krapivsky, Kirone Mallick, Dries Sels
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2965716042