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We discovered a robust method for ergodicity breaking using Hilbert space fragmentation, creating stable quantum many-body scars. This new approach offers unprecedented stability against various perturbations.

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Area of Science:

  • Quantum Physics
  • Condensed Matter Theory

Background:

  • Ergodicity breaking is crucial for understanding non-equilibrium quantum systems.
  • Previous methods for achieving Hilbert space fragmentation often lack robustness.

Purpose of the Study:

  • To introduce a novel and highly robust route to ergodicity breaking via Hilbert space fragmentation.
  • To demonstrate the emergence of stable quantum many-body scars.

Main Methods:

  • Construction of a system relying on a single emergent (prethermal) conservation law.
  • Mathematical proof of Hilbert space fragmentation and the stability of frozen configurations.
  • Analysis of perturbations, including long-range and geometrically nonlocal types.

Main Results:

  • Demonstrated unprecedented robustness in ergodicity breaking through Hilbert space fragmentation.
  • Identified an exponential number of absolutely stable frozen configurations (quantum many-body scars).
  • Established stability against arbitrary perturbations, including long-range ones.

Conclusions:

  • The proposed method provides a stable platform for studying ergodicity breaking and quantum many-body scars.
  • The findings have implications for understanding non-equilibrium dynamics and emergent symmetries in quantum systems.