Many-body scar state intrinsic to periodically driven system
Open Access
- 2 February 2021
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Research
- Vol. 3 (1), L012010
- https://doi.org/10.1103/physrevresearch.3.l012010
Abstract
The violation of the Floquet version of the eigenstate thermalization hypothesis is rigorously discussed with realistic Hamiltonians. Our model is based on the PXP-type interactions without disorder. We rigorously prove the existence of many-body scar states in the Floquet eigenstates that appear only at specific periods of driving by showing the explicit expressions of the wave functions. This is equivalently the first rigorous proof of the breakdown of the Floquet eigenstate thermalization hypothesis. Through the exact expression of the scar states, the underlying physical mechanism is clarified. Using the underlying mechanism, various driven Hamiltonians with Floquet-scar states can be systematically engineered. We then discuss Floquet-scar states that can be checked through time evolution of observables in a chain of Rydberg atoms.Funding Information
- Japan Society for the Promotion of Science (201860254, 18K13475, JP16H02211)
This publication has 48 references indexed in Scilit:
- Eigenstate thermalization hypothesisReports on Progress in Physics, 2018
- Thermalization and prethermalization in isolated quantum systems: a theoretical overviewJournal of Physics B: Atomic, Molecular and Optical Physics, 2018
- From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamicsAdvances in Physics, 2016
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systemsReports on Progress in Physics, 2016
- The role of quantum information in thermodynamics—a topical reviewJournal of Physics A: Mathematical and Theoretical, 2016
- Eigenstate thermalization: Deutsch’s approach and beyondNew Journal of Physics, 2015
- Many-Body Localization and Thermalization in Quantum Statistical MechanicsAnnual Review of Condensed Matter Physics, 2015
- Equilibration and thermalization in finite quantum systemsLaser Physics Letters, 2011
- Entanglement and the foundations of statistical mechanicsNature Physics, 2006
- Canonical TypicalityPhysical Review Letters, 2006