arXiv:1902.02945 · Journal of High Energy Physics

Complexity and scaling in quantum quench in 1 + 1 dimensional fermionic field theories

Sinong Liu

Published Jul 1, 2019• 9 citations

Abstract

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.

DOI: 10.1007/jhep07(2019)104

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