Out-of-equilibrium dynamics of the XY spin chain from form factor expansion

Granet, Etienne; Dreyer, Henrik; Essler, Fabian

doi:10.21468/SciPostPhys.12.1.019

SciPost Physics

Out-of-equilibrium dynamics of the XY spin chain from form factor expansion

Etienne Granet, Henrik Dreyer, Fabian H.L. Essler

SciPost Phys. 12, 019 (2022) · published 13 January 2022

doi: 10.21468/SciPostPhys.12.1.019
pdf
Submissions/Reports

Abstract

We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a natural and unified framework for out-of-equilibrium physics in this model. We show that all correlation functions in the CE can be computed using form factor expansion and expressed in terms of Fredholm determinants. In particular, we present exact out-of-equilibrium expressions in the thermodynamic limit for the previously unknown order parameter 1-point function, dynamical 2-point function and equal-time 3-point function.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.1.019
TI  - Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
PY  - 2022/01/13
UR  - https://www.scipost.org/SciPostPhys.12.1.019
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 1
SP  - 019
A1  - Granet, Etienne
AU  - Dreyer, Henrik
AU  - Essler, Fabian
AB  - We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a natural and unified framework for out-of-equilibrium physics in this model. We show that all correlation functions in the CE can be computed using form factor expansion and expressed in terms of Fredholm determinants. In particular, we present exact out-of-equilibrium expressions in the thermodynamic limit for the previously unknown order parameter 1-point function, dynamical 2-point function and equal-time 3-point function.
ER  -

@Article{10.21468/SciPostPhys.12.1.019,
	title={{Out-of-equilibrium dynamics of the XY spin chain from form factor expansion}},
	author={Etienne Granet and Henrik Dreyer and Fabian H.L. Essler},
	journal={SciPost Phys.},
	volume={12},
	pages={019},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.1.019},
	url={https://scipost.org/10.21468/SciPostPhys.12.1.019},
}

Cited by 12

Authors / Affiliation: mappings to Contributors and Organizations

See all Organizations.

¹ Rudolf Peierls Centre for Theoretical Physics, University of Oxford

Funders for the research work leading to this publication