Long-lived local coherences at high temperature from frozen domain walls
Abstract
Local coherences between distinct charge sectors--measured by the single-particle Green's function or the transverse spin autocorrelation function--do not overlap with hydrodynamic modes. At finite temperature, therefore, they decay faster than any power law in generic chaotic systems. We present a mechanism by which these coherences can persist anomalously long, for integrable and chaotic spin chains (including the XXZ and Fredkin spin chains) that obey a quantum group symmetry. We show--using a Mazur bound derived from the quantum-group symmetry, together with locality and a "non-undershoot" assumption--that the transverse spin autocorrelation function C(t) ≡ ⟨ σ-x(t) σ+x(0)⟩ can decay at most algebraically: C(t) ≳ 1/t2. This bound is not tight: in the large-anisotropy limit of the XXZ spin chain, at infinite temperature, we explicitly compute C(t) ∼ √3/(18 √t). We also compute this decay rate in the XXZ spin chain for general easy-axis anisotropy, and estimate it to scale as C(t) ∼ t−2/z (for transport exponent z) in the chaotic models.
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BibTeX
@misc{gopalakrishnan2026longlived,
title = {{Long-lived local coherences at high temperature from frozen domain walls}},
author = {Sarang Gopalakrishnan and Romain Vasseur},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20724},
eprint = {2610.20724},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20724},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Long-lived local coherences at high temperature from frozen domain walls
AU - Sarang Gopalakrishnan
AU - Romain Vasseur
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20724
UR - https://arxiv.org/abs/2610.20724
AB - Local coherences between distinct charge sectors--measured by the single-particle Green's function or the transverse spin autocorrelation function--do not overlap with hydrodynamic modes. At finite temperature, therefore, they decay faster than any power law in generic chaotic systems. We present a mechanism by which these coherences can persist anomalously long, for integrable and chaotic spin chains (including the XXZ and Fredkin spin chains) that obey a quantum group symmetry. We show--using a Mazur bound derived from the quantum-group symmetry, together with locality and a "non-undershoot" assumption--that the transverse spin autocorrelation function C(t) ≡ ⟨ σ^-_x(t) σ^+_x(0)⟩ can decay at most algebraically: C(t) ≳ 1/t^2. This bound is not tight: in the large-anisotropy limit of the XXZ spin chain, at infinite temperature, we explicitly compute C(t) ∼ √3/(18 √t). We also compute this decay rate in the XXZ spin chain for general easy-axis anisotropy, and estimate it to scale as C(t) ∼ t^−2/z (for transport exponent z) in the chaotic models.
ER -