Measurement induced transitions in non-Markovian free fermion ladders
Mikheil Tsitsishvili, Dario Poletti, Marcello Dalmonte, Giuliano Chiriacò
SciPost Phys. Core 7, 011 (2024) · published 12 March 2024
- doi: 10.21468/SciPostPhysCore.7.1.011
- Submissions/Reports
Abstract
Recently there has been an intense effort to understand measurement induced transitions, but we still lack a good understanding of non-Markovian effects on these phenomena. To that end, we consider two coupled chains of free fermions, one acting as the system of interest, and one as a bath. The bath chain is subject to Markovian measurements, resulting in an effective non-Markovian dissipative dynamics acting on the system chain which is still amenable to numerical studies in terms of quantum trajectories. Within this setting, we study the entanglement within the system chain, and use it to characterize the phase diagram depending on the ladder hopping parameters and on the measurement probability. For the case of pure state evolution, the system is in an area law phase when the internal hopping of the bath chain is small, while a non-area law phase appears when the dynamics of the bath is fast. The non-area law exhibits a logarithmic scaling of the entropy compatible with a conformal phase, but also displays linear corrections for the finite system sizes we can study. For the case of mixed state evolution, we instead observe regions with both area, and non-area scaling of the entanglement negativity. We quantify the non-Markovianity of the system chain dynamics and find that for the regimes of parameters we study, a stronger non-Markovianity is associated to a larger entanglement within the system.
Cited by 5
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Mikheil Tsitsishvili,
- 1 3 Dario Poletti,
- 1 2 4 Marcello Dalmonte,
- 1 2 5 6 Giuliano Chiriacò
- 1 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 2 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 3 新加坡科技设计大学 / Singapore University of Technology and Design [SUTD]
- 4 National University of Singapore [NUS]
- 5 Università degli Studi di Catania / University of Catania
- 6 INFN Sezione di Catania
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- Ministerio de Ciencia e Innovación
- Ministero dell'Università e della Ricerca
- Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])
- Ministry of Education - Singapore
- Simons Foundation