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.
(B4) Here we have defined, as before,X (D) andY (D) as the ˆτ1 andτ 2 components ofδ ˆQ(a): ˆX(D) = (δ ˆQ(a)12 +δ ˆQ(a)21)/2, ˆY (D) =i(δ ˆQ(a)12 −δ ˆQ(a)21)/2
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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.