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Interaction-induced multiparticle bound states in the continuum (2312.15664v2)
Published 25 Dec 2023 in quant-ph
Abstract: Bound states in the continuum (BICs) are localized modes residing in the radiation continuum. They were first predicted for single-particle states, and became a general feature of many wave systems. In many-body quantum physics, it is still unclear what would be a close analog of BICs, and whether interparticle interaction may induce BICs. Here, we predict a novel type of multiparticle states in the interaction-modulated Bose-Hubbard model that can be associated with the BIC concept. Under periodic boundary conditions, a so-called quasi-BIC appears as a bound pair residing in a standing wave formed by the third particle. Under open boundary conditions, such a hybrid state becomes an eigenstate of the system. We demonstrate that the Thouless pumping of the quasi-BICs can be realized by modulating the onsite interactions in space and time. Surprisingly, while the center-of-mass of the quasi-BIC is shifted by a unit cell in one cycle, the bound pair moves in the opposite direction with the standing wave.
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- See Supplemental Material for details of (S1) Derivation of effective Hamiltonian for bound states; (S2) Dynamics of the type-(i,iii) states for three particles; (S3) higher order correlation of the BIC and quasi-BIC; (S4) Demonstration of multiparticle MLWS as eigenstate of projected position operator; (S5) Derivation of effective Hamiltonian for the BIC; (S6) Topological pumping of quasi-BIC in subspace; (S7) Robustness against disorder for topological pumping of the quasi-BIC, which includes Refs.[48,62,64,65].
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