Quantum information scrambling in two-dimensional Bose-Hubbard lattices

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043121_1_5.0199335.pdf (1.17 MB)

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https://pubs.aip.org/aip/cha/article-abstract/34/4/043121/3281111/Quantum-information-scrambling-in-two-dimensional?redirectedFrom=fulltext

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https://doi.org/10.1063/5.0199335
 http://hdl.handle.net/11603/31559

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UMBC Physics Department
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Author/Creator ORCID

https://orcid.org/0000-0003-0504-6932

Date

2024-04-05

Type of Work

journal articles
preprints
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Citation of Original Publication

Tripathy, Devjyoti, Akram Touil, Bartłomiej Gardas, and Sebastian Deffner. “Quantum Information Scrambling in Two-Dimensional Bose–Hubbard Lattices.” Chaos: An Interdisciplinary Journal of Nonlinear Science 34, no. 4 (April 5, 2024): 043121. https://doi.org/10.1063/5.0199335.

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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.

Subjects

Abstract

It is a well-understood fact that the transport of excitations throughout a lattice is intimately governed by the underlying structures. Hence, it is only natural to recognize that also the dispersion of information has to depend on the lattice geometry. In the present work, we demonstrate that two-dimensional lattices described by the Bose-Hubbard model exhibit information scrambling for systems as little as two hexagons. However, we also find that the OTOC shows the exponential decay characteristic for quantum chaos only for a judicious choice of local observables. More generally, the OTOC is better described by Gaussian-exponential convolutions, which alludes to the close similarity of information scrambling and decoherence theory.