Spectroscopic Feature of Quantum Many-Body Scar States

Kavli Affiliate: Long Zhang

| First 5 Authors: Wenjie Wei, Long Zhang, , ,

| Summary:

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 $delta$-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
$delta$-function resonance peak at momentum $k=pi$ 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.

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