Home > Research > Publications & Outputs > Topological transitions with continuously monit...

Electronic data

  • SciPostPhys_14_3_031

    Final published version, 4.45 MB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

View graph of relations

Topological transitions with continuously monitored free fermions

Research output: Working paperPreprint

Publication date13/03/2023
PublisherSciPost Foundation
<mark>Original language</mark>English


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.

Bibliographic note

19 pages, 9 figures, expanded Sec III, added appendix B