Measurement-induced transitions beyond Gaussianity: A single particle description

Year: 2024

Authors: Lumia L., Tirrito E., Fazio R., Collura M.

Autors Affiliation: Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy; Abdus Salam Int Ctr Theoret Phys ICTP, Str Costiera 11, I-34151 Trieste, Italy; Univ Trento, Pitaevskii BEC Ctr, CNR INO, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommar 14, I-38123 Trento, Italy; Univ Napoli Federico II, Dipartimento Fis, I-80126 Naples, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN Sez Trieste, via Bonomea 265, I-34136 Trieste, Italy.

Abstract: Repeated measurements can induce entanglement phase transitions in the dynamics of quantum systems. Interacting models, both chaotic and integrable, generically show a stable volume-law entangled phase at low measurement rates that disappears for free, Gaussian fermions. Interactions break the Gaussianity of a dynamical map in its unitary part, but non-Gaussianity can be introduced through measurements as well. By comparing the entanglement and non-Gaussianity structure of different protocols, we propose a single particle indicator of the measurement-induced phase transition, and we use it to argue in favor of the stability of the transition when non-Gaussianity is purely provided by measurements.

Journal/Review: PHYSICAL REVIEW RESEARCH

Volume: 6 (2)      Pages from: 23176-1  to: 23176-10

More Information: We thank Alessandro Romito and Henning Schomerus for the insightful suggestions. Tensor network calculations were performed with the aid of the TeNPy library [51] . This work has been supported by the ERC under Grant Agreement No. 101053159 (RAVE) , by a Google Quantum Research Award, by the PNRR MUR Project No. PE0000023-NQSTI, and by the PRIN 2022 (2022R35ZBF) -PE2-ManyQLowD. E.T. was partly supported by the MIUR Programme FARE (MEPH) , by QUANTERA DYNAMITE PCI2022-132919, and by the European Quantum Flagship programme Pasquans2.
KeyWords: Quantum optics; A-stable; Chaotics; Dynamical maps; Gaussianity; Gaussians; Induced transitions; Nongaussianity; Quantum system; Repeated measurements; Single-particle; Quantum entanglement
DOI: 10.1103/PhysRevResearch.6.023176

Citations: 3
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