The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

Zadnik, Lenart; Fagotti, Maurizio

doi:10.21468/SciPostPhysCore.4.2.010

SciPost Physics Core

The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

Lenart Zadnik, Maurizio Fagotti

SciPost Phys. Core 4, 010 (2021) · published 29 April 2021

doi: 10.21468/SciPostPhysCore.4.2.010
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Abstract

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.4.2.010
TI  - The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties
PY  - 2021/04/29
UR  - https://www.scipost.org/SciPostPhysCore.4.2.010
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 4
IS  - 2
SP  - 010
A1  - Zadnik, Lenart
AU  - Fagotti, Maurizio
AB  - We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.
ER  -

@Article{10.21468/SciPostPhysCore.4.2.010,
	title={{The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties}},
	author={Lenart Zadnik and Maurizio Fagotti},
	journal={SciPost Phys. Core},
	volume={4},
	pages={010},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.4.2.010},
	url={https://scipost.org/10.21468/SciPostPhysCore.4.2.010},
}

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Authors / Affiliation: mappings to Contributors and Organizations

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¹ Lenart Zadnik,
¹ Maurizio Fagotti

¹ Université Paris-Saclay / University of Paris-Saclay

Funder for the research work leading to this publication

European Research Council [ERC]