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Onsager's Scars in Disordered Spin Chains.

Naoyuki Shibata1, Nobuyuki Yoshioka1, Hosho Katsura1,2,3

  • 1Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Tokyo 113-0033, Japan.

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Summary
This summary is machine-generated.

We introduce new disordered quantum spin chains with quantum many-body scars. These models violate thermalization, showing unique periodic dynamics in highly excited states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Quantum many-body scars are rare, non-thermalizing states in quantum systems.
  • Disorder typically drives quantum systems towards thermalization.
  • The eigenstate thermalization hypothesis (ETH) predicts thermalization for generic highly excited states.

Purpose of the Study:

  • To propose and construct novel nonintegrable quantum spin chains exhibiting quantum many-body scars.
  • To investigate the impact of disorder on quantum many-body scars.
  • To explore the properties and dynamics of these scarred states, particularly their entanglement and thermalization behavior.

Main Methods:

  • Construction of scarred models using Onsager symmetry for arbitrary spin quantum number S.
  • Classification of scar states into coherent states and one-magnon scar states.
  • Analysis of entanglement properties (area-law entanglement) and representation as matrix product states.
  • Investigation of the dynamics of fidelity and entanglement entropy for various initial states.

Main Results:

  • Demonstrated the existence of quantum many-body scars in nonintegrable quantum spin chains even with disorder.
  • Identified two distinct types of scar states: Onsager-algebra coherent states and one-magnon scar states.
  • Showcased that scar states possess area-law entanglement and violate the ETH.
  • Observed that scar states exhibit periodic dynamics and remain localized in Hilbert space, preventing thermalization, unlike generic states.

Conclusions:

  • The proposed models represent the first explicit examples of disordered quantum many-body scarred systems.
  • These findings challenge the conventional understanding of disorder-induced thermalization in quantum systems.
  • The existence of non-thermalizing scar states in disordered systems opens new avenues for exploring quantum dynamics and novel quantum phases.