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Exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states

Mark, Daniel K. and Lin, Cheng-Ju and Motrunich, Olexei I. (2020) Exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states. Physical Review B, 101 (9). Art. No. 094308. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20191223-160336506

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Abstract

We study a model of Rydberg atoms in a nearest-neighbor Rydberg blockaded regime, introduced by Lesanovsky [Phys. Rev. Lett. 108, 105301 (2012)]. This many-body model (which has one parameter z) has an exactly known gapped liquid ground state, and two exactly known low-lying excitations. We discover two exact low-lying eigenstates. We also discuss behavior of the model at small parameter z and its proximity to an integrable model. Lastly, we discuss connections between the Lesanovsky model at intermediate z and the so-called PXP model. The PXP model describes a recent experiment that observed unusual revivals from a charge-density-wave initial state, which are attributed to a set of many-body “scar states” which do not obey the eigenstate thermalization hypothesis. We discuss the possibility of approximate scar states in the Lesanovsky model and present two approximations for them.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.101.094308DOIArticle
https://arxiv.org/abs/1911.11305arXivDiscussion Paper
ORCID:
AuthorORCID
Mark, Daniel K.0000-0002-5017-5218
Lin, Cheng-Ju0000-0001-7898-0211
Motrunich, Olexei I.0000-0001-8031-0022
Alternate Title:New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states
Additional Information:© 2020 American Physical Society. Received 8 December 2019; Revised 28 February 2020; Accepted 3 March 2020. We thank A. Alhambra, A. Chandran, M. Endres, T. Hsieh, R. Nandkishore, Z. Papić, T. Rakovszky, B. Roberts, M. Serbyn, B. Timar, C. Turner, and C. White for valuable discussions. D.K.M. acknowledges funding from the James C. Whitney SURF Fellowship, Caltech Student-Faculty Programs. This work was also supported by the National Science Foundation through Grant No. DMR-1619696. C.-J. L. acknowledges support from Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Economic Development, Job Creation and Trade.
Funders:
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
NSFDMR-1619696
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Department of Innovation, Science and Economic Development (Canada)UNSPECIFIED
Ontario Ministry of Economic Development, Job Creation and TradeUNSPECIFIED
Issue or Number:9
Record Number:CaltechAUTHORS:20191223-160336506
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191223-160336506
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100427
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Dec 2019 00:13
Last Modified:25 Mar 2020 19:36

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