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.
Then we try to integrate out the fastΦ f field, we first perform the expansion of Wµ ≡ −iU † f(∂µUf): Wµ =∂ µΦf − i 2 [Φf , ∂µΦf]− 1 6 [Φf ,[Φ f , ∂µΦf]] +O(Φ 4 f)
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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.