Rare measurements on a 1D spinful s-wave BCS chain dynamically project soft modes onto an SO(R) NLSM whose R→1 weak-anti-localization flow yields steady-state entanglement S(L) ~ ln² L without a WZW term.
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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.
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.
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.
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Super-Logarithmic Entanglement Scaling in a Monitored Superconducting Chain
Rare measurements on a 1D spinful s-wave BCS chain dynamically project soft modes onto an SO(R) NLSM whose R→1 weak-anti-localization flow yields steady-state entanglement S(L) ~ ln² L without a WZW term.
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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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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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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.