Topological transitions in weakly monitored free fermions

Kells, Graham and Meidan, Dganit and Romito, Alessandro (2023) Topological transitions in weakly monitored free fermions. SciPost Physics, 14 (3): 031. ISSN 2542-4653

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Abstract

We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order. We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. In the presence of unitary dynamics, the two topologically distinct phases are separated by a region with sub-volume scaling of the entanglement entropy. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy. We further show that the phase diagram is qualitatively captured by an analytically tractable non-Hermitian model obtained via post-selecting the measurement outcome. Finally we introduce a partial-post-selection continuous mapping, that uniquely associates topological indices of the non-Hermitian Hamiltonian to the distinct phases of the stochastic measurement-induced dynamics.

Item Type:
Journal Article
Journal or Publication Title:
SciPost Physics
Subjects:
?? general physics and astronomy ??
ID Code:
189575
Deposited By:
Deposited On:
23 Mar 2023 10:30
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 23:40