Journal article
Exact relaxation to Gibbs and non-equilibrium steady states in the quantum cellular automaton Rule 54
- Abstract:
- We study the out-of-equilibrium dynamics of the quantum cellular automaton Rule 54 using a time-channel approach. We exhibit a family of (non-equilibrium) product states for which we are able to describe exactly the full relaxation dynamics. We use this to prove that finite subsystems relax to a one-parameter family of Gibbs states. We also consider inhomogeneous quenches. Specifically, we show that when the two halves of the system are prepared in two different solvable states, finite subsystems at finite distance from the centre eventually relax to the non-equilibrium steady state (NESS) predicted by generalised hydrodynamics. To the best of our knowledge, this is the first exact description of the relaxation to a NESS in an interacting system and, therefore, the first independent confirmation of generalised hydrodynamics for an inhomogeneous quench.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 521.8KB, Terms of use)
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- Publisher copy:
- 10.21468/SciPostPhys.11.6.106
Authors
- Publisher:
- SciPost
- Journal:
- SciPost Physics More from this journal
- Volume:
- 11
- Issue:
- 6
- Article number:
- 106
- Publication date:
- 2021-12-20
- Acceptance date:
- 2021-11-17
- DOI:
- EISSN:
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2542-4653
- Language:
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English
- Keywords:
- Pubs id:
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1174896
- Local pid:
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pubs:1174896
- Deposit date:
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2021-11-19
Terms of use
- Copyright holder:
- Klobas and Bertini
- Copyright date:
- 2021
- Rights statement:
- Copyright K. Klobas and B. Bertini. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
- Licence:
- CC Attribution (CC BY)
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