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Quasisymmetry Groups and Many-Body Scar Dynamics
Jie Ren1,2, Chenguang Liang1,2, Chen Fang1,3,4
1Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
Physical Review Letters
|April 9, 2021
Summary
Researchers developed methods to engineer quantum systems with specific high symmetries. Applying external fields to these systems induces periodic dynamics, a phenomenon known as many-body-scar dynamics.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Quantum information science
Background:
- Quantum systems can exhibit symmetries beyond those of their Hamiltonian.
- Degenerate subspaces may host enhanced symmetries.
- Local operators can generate these enhanced symmetries, termed quasisymmetry groups.
Purpose of the Study:
- To present schemes for constructing one-dimensional spin models with controllable quasisymmetry groups.
- To demonstrate the generation of exact periodic dynamics (many-body-scar dynamics) in these models.
Main Methods:
- Developing two related construction schemes for spin models.
- Utilizing local operators to define quasisymmetry groups.
- Applying external fields to specific generators of the quasisymmetry group.
Main Results:
- Successfully constructed one-dimensional spin models with desired quasisymmetry groups.
- Demonstrated exact periodic evolution of prechosen states under external fields.
- Showcased the emergence of many-body-scar dynamics in nonintegrable systems.
Conclusions:
- The proposed schemes enable the design of quantum systems with engineered symmetries.
- External fields can precisely control dynamics within degenerate subspaces, leading to periodic behavior.
- This work provides a pathway to realize and study many-body-scar dynamics on demand.
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