Affiliation:
1. Dublin City University
2. Dublin Institute For Advanced Studies
3. Ben-Gurion University of the Negev
4. Lancaster University
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.
Funder
Dublin Institute for Advanced Studies
Engineering and Physical Sciences Research Council
Israel Science Foundation
Science Foundation Ireland
Subject
General Physics and Astronomy
Cited by
36 articles.
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