Complexity and scaling in quantum quench in $1+1$ dimensional fermionic field theories
High Energy Physics - Theory
2020-06-15 v2
Abstract
We consider the scaling behavior of circuit complexity under quantum quench in an a relativistic fermion field theory on a one dimensional spatial lattice. This is done by finding an exactly solvable quench protocol which asymptotes to massive phases at early and late times and crosses a critical point in between. We find a variety of scaling behavior as a function of the quench rate, starting with a saturation for quenches at the lattice scale, a "fast quench scaling" at intermediate rate and a Kibble Zurek scaling at slow rates.
Keywords
Cite
@article{arxiv.1902.02945,
title = {Complexity and scaling in quantum quench in $1+1$ dimensional fermionic field theories},
author = {Sinong Liu},
journal= {arXiv preprint arXiv:1902.02945},
year = {2020}
}
Comments
22 pages, 6 figures; version accepted for publication in JHEP