Dooley, Shane and Kells, Graham (2022) Extreme many-body scarring in a quantum spin chain via weak dynamical constraints. Physical Review B, 105 (15). pp. 1-9. ISSN 2469-9950

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Abstract

It has recently been established that quantum many-body scarring can prevent the thermalisation of some isolated quantum systems, starting from certain initial states. One of the first models to show this was the so-called PXP Hamiltonian, which was used to theoretically model an experiment on a chain of strongly interacting Rydberg atoms. A defining feature of the PXP Hamiltonian is a set of dynamical constraints that make certain states inaccessible to the dynamics. In this paper we construct a class of spin chain models that are parameterised by a discrete variable ℓ that controls the "strength" of a dynamical constraint. We show that by increasing ℓ the constraint becomes weaker, in the sense that fewer states are excluded from the dynamics. The PXP Hamiltonian is special case for ℓ=2. By weakening the constraint to ℓ≥4, however, we find a more extreme version of quantum scarring than in the PXP Hamiltonian, with the number of scar states growing exponentially in the system size.

Item Type:	Article
Keywords:	Extreme; many-body; scarring; quantum; spin; chain; dynamical constraints;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	18517
Identification Number:	https://doi.org/10.1103/PhysRevB.105.155127
Depositing User:	Graham Kells
Date Deposited:	14 May 2024 15:15
Journal or Publication Title:	Physical Review B
Publisher:	American Physical Society
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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