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Dynamical Scar States in Driven Fracton Systems.
1Department of Physics and Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA.
Physical Review Letters
|November 8, 2019
Summary
One-dimensional fracton systems can display perfect localization. This study identifies "dynamical scars" in a driven quantum circuit, which are localized states arising from conservation laws, not thermalization.
Area of Science:
- Quantum physics
- Condensed matter physics
- Many-body systems
Background:
- One-dimensional fracton systems can exhibit perfect localization, preventing thermal equilibrium under local unitary time evolution.
- Nonergodic behavior in quantum systems challenges the principles of statistical mechanics.
Purpose of the Study:
- Investigate nonergodic behavior in a driven fracton system.
- Identify and characterize "dynamical scars" in a one-dimensional Floquet quantum circuit.
Main Methods:
- Studied a one-dimensional Floquet quantum circuit model with conserved U(1) charge and dipole moment.
- Analyzed the time evolution of initial states under random unitary operators.
Main Results:
- Most states thermalize to a high-temperature state.
- A small subset of states evolves into localized, athermal steady states termed "dynamical scars."
- These dynamical scars exhibit a single fracton peak and have high overlap with product states.
Conclusions:
- Dynamical scars in driven fracton systems arise from conservation laws, not specific Hamiltonian details.
- These scars offer an experimentally relevant probe of constrained quantum dynamics.
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