Spectroscopic Feature of Quantum Many-Body Scar States

Fuente: arXiv
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Autores principales: Wei, Wenjie, Zhang, Long
Formato: Preprint
Publicado: 2024
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author Wei, Wenjie
Zhang, Long
author_facet Wei, Wenjie
Zhang, Long
contents We study the dynamical correlations of nonintegrable systems with quantum many-body scar (QMBS) states generated by a ladder operator. The spectral function of the ladder operator has an exact $δ$-function peak induced by the QMBS states. As a concrete example, we show that in the one-dimensional (1D) spin-$1$ Affleck-Kennedy-Lieb-Tasaki model, the spectral function of two-magnon excitations exhibits a characteristic bow-tie shape composed of a $δ$-function resonance peak at momentum $k=π$ and a continuum spectrum elsewhere. The two-magnon excitations can be observed with the resonant inelastic X-ray scattering spectroscopy on quasi-1D nickelates and other spin-$1$ antiferromagnetic materials, thus it paves the way to detecting the (approximate) QMBS states in realistic materials.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02186
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spectroscopic Feature of Quantum Many-Body Scar States
Wei, Wenjie
Zhang, Long
Strongly Correlated Electrons
Statistical Mechanics
We study the dynamical correlations of nonintegrable systems with quantum many-body scar (QMBS) states generated by a ladder operator. The spectral function of the ladder operator has an exact $δ$-function peak induced by the QMBS states. As a concrete example, we show that in the one-dimensional (1D) spin-$1$ Affleck-Kennedy-Lieb-Tasaki model, the spectral function of two-magnon excitations exhibits a characteristic bow-tie shape composed of a $δ$-function resonance peak at momentum $k=π$ and a continuum spectrum elsewhere. The two-magnon excitations can be observed with the resonant inelastic X-ray scattering spectroscopy on quasi-1D nickelates and other spin-$1$ antiferromagnetic materials, thus it paves the way to detecting the (approximate) QMBS states in realistic materials.
title Spectroscopic Feature of Quantum Many-Body Scar States
topic Strongly Correlated Electrons
Statistical Mechanics
url https://arxiv.org/abs/2408.02186