Interaction-induced multiparticle bound states in the continuum

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.

Accepted by Phys. Rev. Lett

References in corpus (16)

• Many body localization and thermalization in quantum statistical mechanics
• Repulsively bound atom pairs in an optical lattice
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Nonlinear second-order photonic topological insulators
• Quantisation and its breakdown in a Hubbard-Thouless pump
• Scenario for delocalization in translation invariant systems
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Photosensitive chalcogenide metasurfaces supporting bound states in the continuum
• Bound states in the one-dimensional two-particle Hubbard model with an impurity
• Topological pumping in the one-dimensional Bose-Hubbard model
• Effects of local periodic driving on transport and generation of bound states
• Classification of three-photon states in waveguide quantum electrodynamics
• Two-electron bound states in continuum in quantum dots
• Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
• Stable interaction-induced Anderson-like localization embedded in standing waves
• Localization and spectrum of quasiparticles in a disordered fermionic Dicke model

Cited by in corpus (4)

• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• Inter-species topological phases via a dynamical gauge field
• Radiative electronic bound states in the continuum from defects in semiconductors
• Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model