Measurement-Induced Crossover of Quantum Jump Statistics in Postselection-Free Many-Body Dynamics
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:PI2P4GWGrecord.jsonopen to challenge →
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 4 Pith papers
-
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.
-
Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions
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...
-
Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
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.
-
Quantum jump correlations in long-range dissipative spin systems via cluster and cumulant expansions
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...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.