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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References

SHOWING 1-10 OF 69 REFERENCES
Signatures of information scrambling in the dynamics of the entanglement spectrum
We examine the time evolution of the entanglement spectrum of a small subsystem of a non-integrable spin chain following a quench from a product state. We identify signatures in this entanglement
Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos
The spreading of entanglement in out-of-equilibrium quantum systems is currently at the center of intense interdisciplinary research efforts involving communities with interests ranging from
Dynamics of entanglement and transport in one-dimensional systems with quenched randomness
Quenched randomness can have a dramatic effect on the dynamics of isolated 1D quantum many-body systems, even for systems that thermalize. This is because transport, entanglement, and operator
Quantum Entanglement Growth Under Random Unitary Dynamics
Characterizing how entanglement grows with time in a many-body system, for example after a quantum quench, is a key problem in non-equilibrium quantum physics. We study this problem for the case of
Entanglement dynamics in quantum many-body systems
We study entanglement growth in quantum many-body systems and propose a method to experimentally measure it. We show that entanglement growth is related to the spreading of local operators. In
Entanglement Complexity in Quantum Many-Body Dynamics, Thermalization and Localization
Entanglement is usually quantified by von Neumann entropy, but its properties are much more complex than what can be expressed with a single number. We show that the three distinct dynamical phases
Solution of a Minimal Model for Many-Body Quantum Chaos
We solve a minimal model for quantum chaos in a spatially extended many-body system. It consists of a chain of sites with nearest-neighbour coupling under Floquet time evolution. Quantum states at
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and
Emergent statistical mechanics of entanglement in random unitary circuits
We map the dynamics of entanglement in random unitary circuits, with finite on-site Hilbert space dimension $q$, to an effective classical statistical mechanics. We demonstrate explicitly the
Two-Component Structure in the Entanglement Spectrum of Highly Excited States.
We study the entanglement spectrum of highly excited eigenstates of two known models that exhibit a many-body localization transition, namely the one-dimensional random-field Heisenberg model and the
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