Large-scale numerics and nonlinear sigma model mapping demonstrate that monitored non-interacting 1D fermions in disordered or quasiperiodic potentials remain in the area-law phase for all monitoring and disorder strengths, with no MIPT.
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Measurements enhance steady-state entanglement in a paired fermionic chain by suppressing pairing correlations, but the enhancement scales as ln squared L and vanishes in the thermodynamic limit.
In the Zeno regime of a continuously monitored Aubry-André-Harper chain, an effective non-Hermitian Hamiltonian derived from self-consistent measurement potentials yields a Lyapunov exponent whose predicted localization length quantitatively matches numerical quantum-state-diffusion trajectories.
Graded hopping screens nonreciprocity in a non-Hermitian Stark chain by turning exponential skin factors into algebraic accumulation via similarity transformation and sets a Stark threshold at |F1|=2|F2|.
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.
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.
citing papers explorer
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No measurement induced phase transition in the entanglement dynamics of monitored non-interacting one-dimensional fermions in a disordered or quasiperiodic potential
Large-scale numerics and nonlinear sigma model mapping demonstrate that monitored non-interacting 1D fermions in disordered or quasiperiodic potentials remain in the area-law phase for all monitoring and disorder strengths, with no MIPT.
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Measurement-enhanced entanglement in a monitored superconducting chain
Measurements enhance steady-state entanglement in a paired fermionic chain by suppressing pairing correlations, but the enhancement scales as ln squared L and vanishes in the thermodynamic limit.
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Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain
In the Zeno regime of a continuously monitored Aubry-André-Harper chain, an effective non-Hermitian Hamiltonian derived from self-consistent measurement potentials yields a Lyapunov exponent whose predicted localization length quantitatively matches numerical quantum-state-diffusion trajectories.
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Graded hopping screens nonreciprocity and reorganizes Stark asymptotics in a non-Hermitian Stark chain
Graded hopping screens nonreciprocity in a non-Hermitian Stark chain by turning exponential skin factors into algebraic accumulation via similarity transformation and sets a Stark threshold at |F1|=2|F2|.
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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.
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Measurement-induced phase transitions in disordered fermions
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.