Replica Keldysh analysis shows monitored 1D free fermions exhibit area-law entanglement beyond an exponentially large scale ln(l_Ο,*) ~ J/[Ξ³ cos(Ο)], with no genuine measurement- or unraveling-induced entanglement transitions.
To this end, we first introduce the parameter πΌ= π₯βοΈ 2πΎΞπ‘ ,(A31) and define new Kraus operators ΛπΎ πΌ = 2πΎΞπ‘ 2 1/4 ΛπΎπ₯ π₯= β 2πΎΞπ‘ = 2πΎΞπ‘ π 1/4 eβπΎΞπ‘ ( πΌβΛπ)2
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Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
Replica Keldysh analysis shows monitored 1D free fermions exhibit area-law entanglement beyond an exponentially large scale ln(l_Ο,*) ~ J/[Ξ³ cos(Ο)], with no genuine measurement- or unraveling-induced entanglement transitions.