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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum information science

Background:

  • Interacting many-body quantum systems are crucial but challenging to simulate and understand.
  • Symmetries, conservation laws, and integrability are key to unraveling quantum system complexities.

Purpose of the Study:

  • To uncover local conservation laws and integrability in periodically-driven spin lattices using a quantum computer.
  • To analyze a regime of disorder-induced ergodicity breaking previously inaccessible to detailed study.

Main Methods:

  • Utilized a fully programmable quantum computer with up to 124 qubits.
  • Benchmarked the system's crossover into a localized regime via one-particle-density-matrix spectrum anomalies.
  • Reconstructed quantum operators of hidden local integrals of motion.

Main Results:

  • Discovered local conservation laws and integrability in 1D and 2D periodically-driven spin lattices.
  • Identified the origin of the localized regime as hidden local integrals of motion.
  • Provided a detailed portrait of the system's integrable dynamics.

Conclusions:

  • Demonstrated a versatile strategy for extracting hidden dynamical structure from noisy quantum experiments.
  • Opened new avenues for analyzing complex quantum systems on large-scale quantum computers.