Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session Y44: Thermalization and Chaos
11:30 AM–2:18 PM,
Friday, March 19, 2021
Sponsoring
Unit:
DCMP
Chair: Marko Znidaric, Univ of Ljubljana
Abstract: Y44.00002 : Many Body Scars as a Group Invariant Sector of Hilbert Space*
11:42 AM–11:54 AM
Live
Presenter:
Kiryl Pakrouski
(Princeton University)
Authors:
Kiryl Pakrouski
(Princeton University)
Preethi Pallegar
(Princeton University)
Fedor Popov
(Princeton University)
Igor R Klebanov
(Princeton University)
A particular class of examples concerns interacting spin-1/2 fermions on a lattice consisting of N sites (it includes deformations of the Fermi-Hubbard model as special cases), and we show that it contains two families of N+1 scar states. One of these families, is comprised of the well-known η-pairing states.
We find another family of scar states which is U(N) invariant.
Both families and most of the group-invariant scar states produced by our construction in general, give rise to the off-diagonal long range order which survives at high temperatures and is insensitive to the details of the dynamics. Such states could be used for reliable quantum information processing because the information is stored non-locally, and thus cannot be easily erased by local perturbations. In contrast, other scar states we find are product states which could be easily prepared experimentally.
The dimension of scar subspace depends on G and can be made exponentially large.
*US NSF PHY-1620059, PHY-1914860
Swiss National Science Foundation, Early Postdoc.Mobility #P2EZP2_172168
DOE de-sc0002140
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