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Quantum Many-Body Scars in Dual-Unitary Circuits
Leonard Logarić1,2, Shane Dooley1,2, Silvia Pappalardi3
1Department of Physics, Trinity College Dublin, Dublin 2, Ireland.
Physical Review Letters
|January 19, 2024
Summary
Dual-unitary circuits, while typically rapid thermalizers, can be engineered to prevent thermalization in specific initial states. This is achieved by embedding quantum many-body scars, even in maximally chaotic systems.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Quantum Computing
Background:
- Dual-unitary circuits are a notable class of quantum systems enabling exact calculations.
- These circuits are generally understood as rapidly thermalizing systems.
Purpose of the Study:
- To investigate the thermalization properties of dual-unitary circuits.
- To present a method for constructing dual-unitary circuits that exhibit non-thermalizing behavior for specific initial states.
Main Methods:
- Analytic construction of dual-unitary circuits incorporating quantum many-body scars.
- Numerical simulations to compare entanglement growth rates from scar and non-scar initial states.
Main Results:
- Demonstration of non-thermalizing behavior in maximally chaotic, ergodic, and mixing dual-unitary circuits for certain initial states.
- Significant contrast in entanglement growth rates between scar and non-scar initial states, confirmed by simulations.
Conclusions:
- Quantum many-body scars can prevent thermalization in dual-unitary circuits, challenging the general assumption of rapid thermalization.
- The findings are experimentally testable on current digital quantum simulators.
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