Many-Body Bound States in the Continuum

• URL: http://arxiv.org/abs/2307.05456v1
• Date: Tue, 11 Jul 2023 17:43:24 GMT
• Title: Many-Body Bound States in the Continuum
• Authors: Shoki Sugimoto, Yuto Ashida, Masahito Ueda
• Abstract summary: A bound state in the continuum (BIC) is a spatially bounded energy eigenstate lying in a continuous spectrum of extended eigenstates. 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. 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.
• Score: 4.511923587827301
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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