Replica Keldysh analysis shows monitored 1D free fermions exhibit area-law entanglement beyond an exponentially large scale ln(l_φ,*) ~ J/[γ cos(φ)], with no genuine measurement- or unraveling-induced entanglement transitions.
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Monitored free fermions are mapped to a nonlinear sigma model whose finite-time evolution and quasi-1D long-time scaling are used to locate the measurement-induced transition and extract the correlation-length exponent in two dimensions.
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.
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Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
Replica Keldysh analysis shows monitored 1D free fermions exhibit area-law entanglement beyond an exponentially large scale ln(l_φ,*) ~ J/[γ cos(φ)], with no genuine measurement- or unraveling-induced entanglement transitions.
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Quantum dynamics of monitored free fermions: Evolution of quantum correlations and scaling at measurement-induced phase transition
Monitored free fermions are mapped to a nonlinear sigma model whose finite-time evolution and quasi-1D long-time scaling are used to locate the measurement-induced transition and extract the correlation-length exponent in two dimensions.
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Entanglement dynamics of monitored noninteracting fermions on graphics processing units
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.