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arxiv 2503.02418 v3 pith:PI2P4GWG submitted 2025-03-04 cond-mat.stat-mech cond-mat.quant-gasquant-ph

Measurement-Induced Crossover of Quantum Jump Statistics in Postselection-Free Many-Body Dynamics

classification cond-mat.stat-mech cond-mat.quant-gasquant-ph
keywords quantumcrossoverjumpsmany-bodymeasurementscalingstatisticsalpha
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We reveal a nontrivial crossover of subsystem fluctuations of quantum jumps in continuously monitored many-body systems, which have a trivial maximally mixed state as a steady-state density matrix. While the fluctuations exhibit the standard volume law $\propto L$ following Poissonian statistics for sufficiently weak measurement strength, anomalous yet universal scaling law $\propto L^\alpha \:(\alpha\sim 2.7$ up to $L=20)$ indicating super-Poissonian statistics appears for strong measurement strength. This drastically affects the precision of estimating the rate of quantum jumps: for strong (weak) measurement, the estimation uncertainty is enhanced (suppressed) as the system size increases. We demonstrate that the anomalous scaling of the subsystem fluctuation originates from an integrated many-body autocorrelation function and that the transient dynamics contributes to the scaling law rather than the Liouvillian gap. The measurement-induced crossover is accessed only from the postselection-free information obtained from the time and the position of quantum jumps and can be tested in ultracold atom experiments.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Postselection-free ballistic-diffusive transition in monitored spin chains

    quant-ph 2026-05 unverdicted novelty 6.0

    The paper identifies a postselection-free ballistic-diffusive transition in the transient dynamics of periodically monitored spin-1/2 XXZ chains that is linked to the steady-state entanglement phase transition.

  2. Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions

    quant-ph 2026-04 unverdicted novelty 6.0

    Quantum jump correlations and waiting-time distributions in long-range dissipative spins display clear signatures of the paramagnetic-to-ferromagnetic transition when analyzed with tilted Lindbladian, cluster mean-fie...

  3. Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems

    quant-ph 2025-07 conditional novelty 6.0

    In a monitored dissipative spin model realizable on Rydberg simulators, free-energy functionals applied to trajectory ensembles identify dynamical features akin to hydrophobic effects in classical phase transitions.

  4. Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions

    quant-ph 2026-04 unverdicted novelty 5.0

    Quantum jump correlations and waiting-time distributions in long-range dissipative spin systems display clear signatures of underlying phases and distinct dynamical features across the paramagnetic-to-ferromagnetic tr...