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Updated: May 31, 2026

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Fractionally quantized recurrence detection times in monitored quantum many-body systems.

Quancheng Liu1,2, Sabine Tornow3, David A Kessler1

  • 1Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.

Proceedings of the National Academy of Sciences of the United States of America
|May 29, 2026
PubMed
Summary

We established bounds for recurrence times in interacting quantum spin systems, revealing fractional quantization. Experimental implementation on a quantum computer confirmed these findings, showing resilience to noise.

Keywords:
mid-circuit measurementsmonitored quantum dynamicsquantum many-body systemsrecurrence problem

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum information science

Background:

  • Recurrence time is crucial for understanding complex system predictability.
  • Fractional quantization of recurrence times is observed in quantum systems with subspace measurements, governed by Anandan-Aharonov phases.
  • This phenomenon remains unexplored in interacting quantum systems.

Purpose of the Study:

  • To establish universal lower and upper bounds for recurrence times in interacting many-body spin systems.
  • To explore scenarios where these bounds are approached, informing the speed of monitored quantum processes.
  • To investigate the link between recurrence times, dark states, and system dynamics.

Main Methods:

  • Theoretical derivation of universal bounds for recurrence times in interacting many-body spin systems.
  • Analysis of specific cases mapping complex systems to single quasi-particle dynamics.
  • Experimental implementation and validation on an IBM quantum computer.

Main Results:

  • Universal lower and upper bounds for recurrence times in interacting many-body spin systems were established.
  • In certain cases, systems map to single quasi-particle dynamics, yielding integer-quantized recurrence times.
  • Experimental results on a quantum computer confirmed theoretical predictions, including fractional quantization and resilience to noise.

Conclusions:

  • The study provides a deeper understanding of recurrence times in interacting quantum systems, linking them to dark states and Hilbert-space fragmentation.
  • Findings demonstrate the potential for using topological fractional quantization for benchmarking quantum devices and probing dark states.
  • The work highlights the robustness of quantum phenomena even in the presence of noise.