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  Temporal entanglement, quasiparticles and the role of interactions. (accepted for publication in Phys. Rev. Lett.)

Giudice, G., Giudici, G., Sonner, M., Thoenniss, J., Lerose, A., Abanin, D. A., et al. (submitted). Temporal entanglement, quasiparticles and the role of interactions. (accepted for publication in Phys. Rev. Lett.).

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Other : Preprint arXiv: 2112.14264 Submitted on 28 Dec 2021

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 Creators:
Giudice, Giacomo1, 2, Author              
Giudici, Giuliano3, Author
Sonner, Michael3, Author
Thoenniss, Julian3, Author
Lerose, Alessio3, Author
Abanin, Dmitry A.3, Author
Piroli, Lorenzo3, Author
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              
2MCQST - Munich Center for Quantum Science and Technology, External Organizations, ou_3330166              
3Max Planck Society, ou_persistent13              

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Free keywords: Quantum Physics, quant-ph
 Abstract: In quantum many-body dynamics admitting a description in terms of non-interacting quasiparticles, the Feynman-Vernon influence matrix (IM), encoding the effect of the system on the evolution of its local subsystems, can be analyzed exactly. For discrete dynamics, the temporal entanglement (TE) of the corresponding IM satisfies an area law, suggesting the possibility of an efficient representation of the IM in terms of matrix-product states. A natural question is whether and how integrable interactions, which preserve stable quasiparticles, affect the behavior of the TE. While a simple semiclassical picture suggests a sublinear growth in time, one can wonder whether interactions may lead to violations of the area law. We address this problem by analyzing quantum quenches in a family of discrete integrable dynamics corresponding to the real-time Trotterization of the interacting XXZ Heisenberg model. By means of an analytical solution at the dual-unitary point and numerical calculations for generic values of the system parameters, we provide evidence that, away from the non-interacting limit, the TE displays a logarithmic growth in time, thus violating the area law. Our findings highlight the non-trivial role of interactions, and raise interesting questions on the possibility to efficiently simulate the local dynamics of interacting integrable systems.

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Language(s): eng - English
 Dates: 2021-12-28
 Publication Status: Submitted
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2112.14264v1
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Funding program : Germany’s Excellence Strategy – EXC-2111 – 390814868
Funding organization : Deutsche Forschungsge- meinschaft (DFG, German Research Foundation)
Project name : ERC grant QUENOCOBA, ERC-2016-ADG
Grant ID : 742102
Funding program : -
Funding organization : -
Project name : -
Grant ID : 864597
Funding program : European Union’s Horizon 2020 re- search and innovation programme
Funding organization : European Research Council (ERC)

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