Evolution of Entanglement Spectra under Generic Quantum Dynamics.

  title={Evolution of Entanglement Spectra under Generic Quantum Dynamics.},
  author={P. Chang and Xiao Chen and Sarang Gopalakrishnan and Jedediah H. Pixley},
  journal={Physical review letters},
  volume={123 19},
We characterize the early stages of the approach to equilibrium in isolated quantum systems through the evolution of the entanglement spectrum. We find that the entanglement spectrum of a subsystem evolves with three distinct timescales. First, on an o(1) timescale, independent of system or subsystem size and the details of the dynamics, the entanglement spectrum develops nearest-neighbor level repulsion. The second timescale sets in when the light cone has traversed the subsystem. Between… 
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