Entanglement links and the quasiparticle picture

Year: 2023

Authors: Santalla SN., Ramnrez G., Roy SS., Sierra G., Rodrnguez-Laguna J.

Autors Affiliation: Univ Carlos III Madrid, Dept Fis, Leganes, Spain; Univ Carlos III Madrid, Grp Interdisciplinar Sistemas Complejos GISC, Leganes, Spain; Univ San Carlos, Escuela Ciencias Fis & Matemat, Inst Invest, Guatemala City, Guatemala; Univ Autonoma Madrid, Inst Fis Teor, UAM CSIC, Madrid, Spain; Univ Trento, CNR INO, Pitaevskii BEC Ctr, Trento, Italy; Univ Trento, Dipartimento Fis, Trento, Italy; Trento Inst Fundamental Phys & Applicat, INFN TIFPA, Trento, Italy; UNED, Dept Fis Fundamental, Madrid, Spain.

Abstract: The time evolution of a quantum state with short-range correlations after a quench to a one-dimensional critical Hamiltonian can be understood using the quasiparticle picture, which states that local entanglement spreads as if it was carried by quasiparticles which separate at a fixed speed. We extend the quasiparticle picture using the recently introduced link representation of entanglement, allowing us to apply it to initial states presenting long-range correlations. The entanglement links are current correlators, and therefore follow a wave equation on the appropriate configurational space which allows us to predict the time evolution of the entanglement entropies. Our results are checked numerically for free fermionic chains with different initial entanglement patterns.

Journal/Review: PHYSICAL REVIEW B

Volume: 107 (12)      Pages from: L121114-1  to: L121114-6

More Information: We would like to thank P. Calabrese and E. Tonnifor very useful discussions. We acknowledge the Spanish government for financial support through Grants No.PGC2018-095862-B-C21, No. PGC2018-094763-B-I00, No.PID2019-105182GB-I00, No. PID2021-123969NB-I00, No.PID2021-127726NB-I00, No. QUITEMAD+ S2013/ICE-2801, No. SEV-2016-0597 of the Centro de Excelencia Sever o Ochoa Programme and the CSIC Research Platformon Quantum Technologies PTI-001. We also acknowledge support by the ERC Starting Grant StrEnQTh (project ID 804305), Provincia Autonoma di Trento, and by Q@TN, the joint laboratory between University of Trento, FBK-Fondazione Bruno Kessler, INFN-National Institute for Nuclear Physics, and CNR-National Research Council.
KeyWords: Entropy
DOI: 10.1103/PhysRevB.107.L121114

Citations: 2
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