Exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states
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.
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.Attached Files
Published - PhysRevB.101.094308.pdf
Submitted - 1911.11305.pdf
Files
| Name | Size | Download all |
|---|---|---|
|
md5:5555c1e0c339f750e71d84d039ba5842
|
1.1 MB | Preview Download |
|
md5:8e6b19ba55fafe66458309636ff7e18c
|
3.9 MB | Preview Download |
Additional details
- Alternative title
- New exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states
- Eprint ID
- 100427
- Resolver ID
- CaltechAUTHORS:20191223-160336506
- Caltech Summer Undergraduate Research Fellowship (SURF)
- DMR-1619696
- NSF
- Perimeter Institute for Theoretical Physics
- Department of Innovation, Science and Economic Development (Canada)
- Ontario Ministry of Economic Development, Job Creation and Trade
- Created
-
2019-12-24Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field