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Exact Quench Dynamics of the Floquet Quantum East Model at the Deterministic Point
Bruno Bertini1, Cecilia De Fazio1, Juan P Garrahan1
1School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
Physical Review Letters
|April 5, 2024
Summary
We analyzed the Floquet quantum East model, finding entanglement grows slower than maximal speed. Thermalization to the infinite temperature state occurs in a time proportional to the block size.
Area of Science:
- Quantum physics
- Condensed matter theory
- Statistical mechanics
Background:
- The Floquet quantum East model describes nonequilibrium quantum dynamics.
- Understanding thermalization in constrained quantum systems is crucial.
Purpose of the Study:
- To investigate the nonequilibrium dynamics and thermalization of the Floquet quantum East model.
- To analyze entanglement growth and its speed in this specific quantum system.
Main Methods:
- Exact solution of thermalization dynamics using "space evolution."
- Analysis of a Trotterized version of the kinetically constrained quantum East spin chain at its deterministic point.
- Study of CNOT permutation gates defining the system's evolution.
Main Results:
- Entanglement in a spin block grows at most at half the maximal speed allowed by locality.
- For initially classical configurations, entanglement speed is a quarter of the maximum.
- Exact thermalization to the infinite temperature state is achieved in a time scaling with block size.
Conclusions:
- The Floquet quantum East model exhibits constrained entanglement propagation.
- The system demonstrates a clear relationship between initial state, entanglement speed, and thermalization time.
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