Spectroscopic Features of Quantum Many-Body Scar States

• Published in: Chinese physics letters Vol. 42; no. 2; pp. 20502 - 30
• Main Authors: Wei, Wenjie, Zhang, Long
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.02.2025; Kavli Institute for Theoretical Sciences and CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing 100190,China%Kavli Institute for Theoretical Sciences and CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing 100190,China; Hefei National Laboratory,Hefei 230088,China
• ISSN: 0256-307X; 1741-3540
• DOI: 10.1088/0256-307X/42/2/020502

We studied the dynamic correlations of non-integrable systems with quantum many-body scar (QMBS) states generated by a ladder operator. The ladder operator’s spectral function 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 bowtie shape composed of a δ -function resonance peak at momentum k = π and a continuum spectrum elsewhere. The two-magnon excitations can be observed via resonant inelastic X-ray scattering spectroscopy on quasi-1D nickelates and other spin-1 antiferromagnetic materials. Therefore, the findings of this study pave the way for detecting (approximate) QMBS states in realistic materials.