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arXiv · 1902.02945

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

Sinong Liu
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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.

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Sinong Liu. 2019-02-08. Complexity and scaling in quantum quench in $1+1$ dimensional fermionic field theories. https://doi.org/10.1007/jhep07(2019)104

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