A minimally invasive pair of weak measurements on an atomic BEC yields the two-time density-density correlation function (Van Hove function) and its Fourier transform, the dynamical structure factor.
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Disorder does not alter the presence or absence of measurement-induced phase transitions in noninteracting fermions; the long-time behavior is controlled by the same nonlinear sigma model with renormalized parameters.
Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalization in Hilbert space.
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Entanglement behavior and localization properties in monitored fermion systems
Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalization in Hilbert space.