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Matrix Product Symmetries and Breakdown of Thermalization from Hard Rod Deformations
Márton Borsi1, Levente Pristyák1,2, Balázs Pozsgay1
1MTA-ELTE "Momentum" Integrable Quantum Dynamics Research Group, Department of Theoretical Physics, Eötvös Loránd University, 1053 Budapest, Hungary.
Physical Review Letters
|August 4, 2023
Summary
Exotic spin-1/2 chains constructed via hard rod deformation exhibit large noncommutative symmetries. These symmetries cause Hilbert space fragmentation, preventing thermalization and leading to persistent oscillations in nonequilibrium quantum systems.
Area of Science:
- Condensed Matter Physics
- Quantum Many-Body Systems
- Theoretical Physics
Background:
- Spin-1/2 chains are fundamental models in condensed matter physics.
- Understanding the role of symmetries in quantum systems is crucial for predicting their behavior.
Purpose of the Study:
- To construct novel spin-1/2 chain models using "hard rod deformation."
- To investigate the presence and impact of noncommutative symmetries in both integrable and nonintegrable systems.
Main Methods:
- Construction of exotic spin-1/2 chains via "hard rod deformation."
- Analysis of noncommutative symmetry algebras generated by matrix product operators.
- Investigation of Hilbert space fragmentation and thermalization properties.
Main Results:
- Families of exotic spin-1/2 chains were successfully constructed.
- A large noncommutative symmetry algebra was identified, generated by matrix product operators.
- Hilbert space fragmentation and breakdown of thermalization were observed.
- Persistent oscillations in nonequilibrium situations were supported by these models.
Conclusions:
- Noncommutative symmetries are not limited to integrable models but also appear in nonintegrable cases.
- These symmetries are responsible for preventing thermalization and inducing persistent dynamics in quantum spin chains.
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