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Disordered monitored free fermions

Szyniszewski, M; Lunt, O; Pal, A; (2023) Disordered monitored free fermions. Physical Review B , 108 (16) , Article 165126. 10.1103/PhysRevB.108.165126. Green open access

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Abstract

Scrambling of quantum information in unitary evolution can be hindered due to measurements and localization, which pin quantum mechanical wave functions in real space, suppressing entanglement in the steady state. In monitored free-fermionic models, the steady state undergoes an entanglement transition from a logarithmically entangled critical state to area law. However, disorder can lead to Anderson localization. We investigate free fermions in a random potential with continuous monitoring, which enables us to probe the interplay between measurement-induced and localized phases. We show that the critical phase is stable up to a finite disorder, and the criticality is consistent with the Berezinskii-Kosterlitz-Thouless universality. Furthermore, monitoring destroys localization, and the area-law phase at weak dissipation exhibits power-law decay of single-particle wave functions. Our work opens an avenue to probe this phase transition in electronic systems of quantum dot arrays and nanowires and allow quantum control of entangled states.

Type: Article
Title: Disordered monitored free fermions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevB.108.165126
Publisher version: https://doi.org/10.1103/PhysRevB.108.165126
Language: English
Additional information: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10182449
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