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.
CITATION STYLE
Liu, S. (2019). Complexity and scaling in quantum quench in 1 + 1 dimensional fermionic field theories. Journal of High Energy Physics, 2019(7). https://doi.org/10.1007/JHEP07(2019)104
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