Locally quasi-stationary states in noninteracting spin chains

Fagotti, Maurizio

doi:10.21468/SciPostPhys.8.3.048

SciPost Physics

Locally quasi-stationary states in noninteracting spin chains

Maurizio Fagotti

SciPost Phys. 8, 048 (2020) · published 27 March 2020

doi: 10.21468/SciPostPhys.8.3.048
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Abstract

Locally quasi-stationary states (LQSS) were introduced as inhomogeneous generalisations of stationary states in integrable systems. Roughly speaking, LQSSs look like stationary states, but only locally. Despite their key role in hydrodynamic descriptions, an unambiguous definition of LQSSs was not given. By solving the dynamics in inhomogeneous noninteracting spin chains, we identify the set of LQSSs as a subspace that is invariant under time evolution, and we explicitly construct the latter in a generalised XY model. As a by-product, we exhibit an exact generalised hydrodynamic theory (including "quantum corrections").

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.8.3.048
TI  - Locally quasi-stationary states in noninteracting spin chains
PY  - 2020/03/27
UR  - https://scipost.org/SciPostPhys.8.3.048
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 8
IS  - 3
SP  - 048
A1  - Fagotti, Maurizio
AB  - Locally quasi-stationary states (LQSS) were introduced as inhomogeneous generalisations of stationary states in integrable systems. Roughly speaking, LQSSs look like stationary states, but only locally. Despite their key role in hydrodynamic descriptions, an unambiguous definition of LQSSs was not given. By solving the dynamics in inhomogeneous noninteracting spin chains, we identify the set of LQSSs as a subspace that is invariant under time evolution, and we explicitly construct the latter in a generalised XY model. As a by-product, we exhibit an exact generalised hydrodynamic theory (including "quantum corrections").
ER  -

@Article{10.21468/SciPostPhys.8.3.048,
	title={{Locally quasi-stationary states in noninteracting spin chains}},
	author={Maurizio Fagotti},
	journal={SciPost Phys.},
	volume={8},
	pages={048},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.8.3.048},
	url={https://scipost.org/10.21468/SciPostPhys.8.3.048},
}

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¹ ² Maurizio Fagotti

Funders for the research work leading to this publication