Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session T33: Nonergodic Dynamics Beyond Many-Body Localization
11:30 AM–2:30 PM,
Thursday, March 9, 2023
Room: Room 225
Sponsoring
Unit:
DCMP
Chair: Michael Kolodrubetz, University of Texas at Dallas
Abstract: T33.00013 : Quantum scars viewed as common eigenstates of simple bipartitions of scarred Hamiltonians and relations to quantum cellular automata.*
1:54 PM–2:06 PM
Presenter:
Pierre-Gabriel Rozon
(McGill University)
Authors:
Pierre-Gabriel Rozon
(McGill University)
Kartiek Agarwal
(McGill Univ)
Michael J Gullans
(Joint Center for Quantum Information and Computer Science)
First, we show that for a large class of scarred models, the scarred states turn out to be common eigenstates of simple bipartitions A,B of the Hamiltonian (H = A + B). Provided the additional constraint e-iAn = e-iBn = I is satisfied for some positive integer n, it can be shown that the common eigenstates (scarred states) must have equidistant energies, and thus exhibit perfect many-body revivals. We find that this picture applies to a large class of quantum scars derived from quasiparticle methods.
Second, we show how the above conditions can be related to simple quantum cellular automata. Indeed, the common eigenstates of the above bipartitions generate a subspace that evolves in time according to a simple quantum cellular automaton represented by T = e-iA e-iB . We exploit this connection to construct non-integrable Hamiltonians H = A + B that host quantum scars, where the scarred states are in one-to-one correspondence with trivial many-body revivals of the corresponding automaton. This method not only allows for the construction of new models hosting exact quantum scars, but, as we show, also provides a way to design approximate quantum scars and estimate their decay time scale without the need of an explicit small parameter. Notably, we find that this picture applies to the well-known PXP model.
*Pierre-Gabriel Rozon acknowledges graduate funding support from NSERC and FRQNT. Michael J. Gullans acknowledges support from the National Science Foundation (QLCI grant OMA-2120757). Kartiek Agarwal acknowledges funding support from NSERC, FRQNT, and the Tomlinson Scholar Award.
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700