Many-Body Bound States in the Continuum
Abstract
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.
Cite
@article{arxiv.2307.05456,
title = {Many-Body Bound States in the Continuum},
author = {Shoki Sugimoto and Yuto Ashida and Masahito Ueda},
journal= {arXiv preprint arXiv:2307.05456},
year = {2023}
}
Comments
8 pages, 4 figures, supplemental material with 18 pages and 3 figures