Locally quasi-stationary states in noninteracting spin chains

2019/10/31 by Maurizio Fagotti
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Integrable system #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Product (mathematics) #Quantum many-body systems #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Stationary state #Statistical physics #Subspace topology #Theoretical physics #cond-mat.str-el #math-ph #math.MP #quant-ph

paper · pdf · doi:10.21468/scipostphys.8.3.048

published as SciPost Phys. 8, 048 (2020) · 42 pages, 2 figures (with numerical checks and an improved analysis of inhomogeneous Hamiltonians)

arxiv created 2020/02/25 · openalex publication_date 2020/03/27 · arxiv updated 2020/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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'').

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