Topological transitions with continuously monitored free fermions

Kells, Graham and Meidan, Dganit and Romito, Alessandro (2023) Topological transitions with continuously monitored free fermions. Other. SciPost Foundation.

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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:
Monograph (Other)
Additional Information:
19 pages, 9 figures, expanded Sec III, added appendix B
Uncontrolled Keywords:
Research Output Funding/yes_externally_funded
Subjects:
?? quant-phcond-mat.mes-hallcond-mat.stat-mechyes - externally fundedno - not fundedyes ??
ID Code:
188857
Deposited By:
Deposited On:
14 Mar 2023 12:10
Refereed?:
No
Published?:
Published
Last Modified:
11 Jun 2024 23:49