Ljubotina, M, Desaules, J-Y orcid.org/0000-0002-3749-6375, Serbyn, M et al. (1 more author) (Cover date: January - March 2023) Superdiffusive Energy Transport in Kinetically Constrained Models. Physical Review X, 13 (1). 011033. ISSN 2160-3308
Abstract
Universal nonequilibrium properties of isolated quantum systems are typically probed by studying transport of conserved quantities, such as charge or spin, while transport of energy has received considerably less attention. Here, we study infinite-temperature energy transport in the kinetically constrained PXP model describing Rydberg atom quantum simulators. Our state-of-the-art numerical simulations, including exact diagonalization and time-evolving block decimation methods, reveal the existence of two distinct transport regimes. At moderate times, the energy-energy correlation function displays periodic oscillations due to families of eigenstates forming different su(2) representations hidden within the spectrum. These families of eigenstates generalize the quantum many-body scarred states found in previous works and leave an imprint on the infinite-temperature energy transport. At later times, we observe a long-lived superdiffusive transport regime that we attribute to the proximity of a nearby integrable point. While generic strong deformations of the PXP model indeed restore diffusive transport, adding a strong chemical potential intriguingly gives rise to a well-converged superdiffusive exponent z≈3/2. Our results suggest constrained models to be potential hosts of novel transport regimes and call for developing an analytic understanding of their energy transport.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This article is protected by copyright. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
Keywords: | Statistical Physics; Atomic, Molecular & Optical; Condensed Matter, Materials & Applied Physics; Quantum Information |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Funding Information: | Funder Grant number Leverhulme Trust RL-2019-015 |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 May 2023 13:56 |
Last Modified: | 25 Jun 2023 23:20 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/physrevx.13.011033 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:198975 |