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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A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
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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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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Entanglement transitions in translation-invariant tensor networks
A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
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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.