2023/07/11 by Sugimoto, Shoki, Ashida, Yuto, Ueda, Masahito · 1 citation
#FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.2307.05456
A bound state in the continuum (BIC) is a spatially bounded energy eigenstate lying in a continuous spectrum of extended eigenstates. While various types of single-particle BICs have been found in the literature, whether or not BICs can exist in genuinely many-body systems remains inconclusive. Here, we provide numerical and analytical pieces of evidence for the existence of many-body BICs in a one-dimensional Bose-Hubbard chain with an attractive impurity potential, which was previously known to host a BIC in the two-particle sector. We also demonstrate that the many-body BICs prevent the system from thermalization when one starts from simple initial states that can be prepared experimentally.