# Evolution of Entanglement Spectra under Generic Quantum Dynamics.

@article{Chang2019EvolutionOE, 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}, year={2019}, volume={123 19}, pages={ 190602 } }

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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