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Published on: September 5, 2019
Entanglement Oscillations from Many-Body Quantum Scars
Nicholas O'Dea1, Adithya Sriram1
1Stanford University, Department of Physics, Stanford, California 94305, USA.
Quantum scars, special nonthermal eigenstates, can prevent system thermalization. A new theorem explains why entanglement dynamics in some quantum scar models freeze, and how to potentially evade this limitation.
Area of Science:
- Quantum mechanics
- Many-body physics
- Quantum chaos
Background:
- Quantum scars are nonthermal eigenstates that inhibit thermalization in quantum systems.
- Superpositions of equally spaced scar states can lead to experimentally detectable oscillations in local observables.
- Existing literature presents conflicting observations regarding entanglement dynamics in scarred models.
Purpose of the Study:
- To investigate the differing entanglement dynamics observed in quantum scar models.
- To explain the phenomenon of frozen entanglement dynamics in certain scarred models.
- To propose methods for overcoming limitations imposed by frozen entanglement dynamics.
Main Methods:
- Development and application of a no-go theorem to analyze entanglement evolution in quantum scar models.
- Systematic examination of over a dozen existing quantum scar models using the derived theorem.
- Exploration of model deformation techniques to circumvent entanglement freezing.
Main Results:
- A no-go theorem is presented, explaining the frozen entanglement dynamics in a subset of quantum scar models.
- The theorem is validated across a wide range of previously studied scarred models.
- A strategy for evading the no-go theorem by modifying scarred models is discussed.
Conclusions:
- The observed differences in entanglement dynamics are systematically explained by the no-go theorem.
- Frozen entanglement dynamics represent a fundamental constraint in many quantum scar models.
- Deforming scarred models offers a potential pathway to restore or induce entanglement oscillations.
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