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Measurement-Induced Crossover of Quantum Jump Statistics in Postselection-Free Many-Body Dynamics
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abstract
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.
Forward citations
Cited by 5 Pith papers
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Topology and Spectrum in Measurement-Induced Phase Transitions
The paper establishes a monitored analogue of bulk-edge correspondence: gapped area-law phases of Majorana circuits are separated by Lyapunov edge zero modes and a parity-based topological invariant, while the critica...
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Continuous monitoring induces spatially nonuniform local particle-number fluctuations and a measurement-strength crossover in a Fibonacci free-fermion chain that are absent in the unitary and periodic limits.
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Postselection-free ballistic-diffusive transition in monitored spin chains
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.
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Anomalous waiting-time distributions in postselection-free quantum many-body dynamics under continuous monitoring
The half-chain waiting-time distribution in a continuously monitored Heisenberg chain develops a non-Poissonian tail whose decay rate is given by the dominant eigenvalue of the no-jump superoperator L0.
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Kondo breakdown induced by non-Hermitian complex hybridization
Complex hybridization in a non-Hermitian Anderson impurity model drives Kondo breakdown at Im(1/Δ) = −1/E_d, with Bethe-ansatz support and a failure of the Lehmann representation.
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