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 A44: Correlated Chains and 1D Systems
8:00 AM–11:00 AM,
Monday, March 15, 2021
Sponsoring
Unit:
DCMP
Chair: Yonko Millev, American Physical Society
Abstract: A44.00004 : Onsager's scars in disordered spin chains
8:36 AM–8:48 AM
Live
Presenter:
Naoyuki Shibata
(Physics, the University of Tokyo)
Authors:
Naoyuki Shibata
(Physics, the University of Tokyo)
Nobuyuki Yoshioka
(Cluster for Pioneering Research, RIKEN)
Hosho Katsura
(Physics, the University of Tokyo)
We propose a new class of spin models with QMBS [3] by making full use of the so-called Onsager algebra. Focusing on a certain Onsager-algebra element, we can explicitly write down a one-parameter family of scar states as an MPS with a finite bond dimension. Remarkably, we do not impose translational invariance on our model. To our knowledge, this is the first explicit example of disordered QMBS models. Moreover, our model is easy to generalize to one with an arbitrary spin quantum number and multi-parameter scar states.
[1] H. Bernien et al., Nature 551, 579 (2017).
[2] C. J. Turner et al., Nat. Phys. 14, 745 (2018).
[3] N. Shibata, N. Yoshioka, and H. Katsura, Phys. Rev. Lett. 124, 180604 (2020).
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