2024/11/02 by Kazuyuki Sanada, Yuan Miao, Sanada, Kazuyuki +3 · 1 citation
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Boundary (topology) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Geometry #Integrable system #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Medicine #Physics #Quantum #Quantum Gases (cond-mat.quant-gas) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum mechanics #Scars #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical physics
paper · pdf · doi:10.48550/arxiv.2411.01270
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2024/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We construct several models with multiple quantum many-body scars (QMBS) using integrable boundary states (IBS). Specifically, we focus on the tilted Néel states, which are parametrized IBS for the spin-1/2 Heisenberg chain, and show that these states can be used to construct a tower of scar states. Our models exhibit periodic revival dynamics, showcasing a characteristic behavior of superpositions of QMBS. Furthermore, the tower of QMBS found in this study possesses a restricted spectrum generating algebra (RSGA) structure, indicating that QMBS are equally spaced in energy. This approach can be extended to two-dimensional models, which can be decomposed into an array of one-dimensional models. In this case, the tilted Néel states again serve as parent states for multiple scar states. These states demonstrate low entanglement entropy, marking them as exact scar states. Notably, their entanglement entropy adheres to the sub-volume law, further solidifying the nonthermal properties of QMBS. Our results provide novel insights into constructing QMBS using IBS, thereby illuminating the connection between QMBS and integrable models.