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Quantum Many-Body Scars in Dual-Unitary Circuits.

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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.

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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.