Topological Transitions with Continuously Monitored Free Fermions

Graham Kells, Dganit Meidan, Alessandro Romito

Research output: Working paper/PreprintPreprint

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Abstract

We study a free fermion model where two sets of non-commuting continuous measurements induce a transition between area-law entanglement scaling phases of distinct topological order. We find that, in the presence of unitary dynamics, the two topological phases are separated by a region with sub-volume scaling of the entanglement entropy and that the transition universality class of the measurement-only model differs from that in interacting models with stroboscopic dynamics and projective measurements. We further show that the phase diagram is qualitatively captured by an analytically tractable non-Hermitian Hamiltonian model obtained via post-selection. By the introduction of a partial-post-selection continuous mapping, we show that the topological distinct phases of the fully stochastic measurement-induced dynamics can be continuously deformed to phases of the post-selected model with different topological numbers.
Original languageEnglish
StatePublished - 17 Dec 2021

Keywords

  • quant-ph
  • cond-mat.mes-hall
  • cond-mat.stat-mech

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