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

  title={Complexity and scaling in quantum quench in 1 + 1 dimensional fermionic field theories},
  author={Sinong Liu},
  journal={Journal of High Energy Physics},
  • Sinong Liu
  • Published 8 February 2019
  • Physics
  • Journal of High Energy Physics
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… 

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