Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model

Abstract

Bound states, known as particles tied together and moving as a whole, are profound correlated effects induced by particle-particle interactions. While dimer-monomer bound states are manifested as a single particle attached to a dimer bound pair, it is still unclear about quantum walks and Bloch oscillations of dimer-monomer bound states. Here, we revisit three-particle bound states in the Bose-Hubbard model and find that interaction-induced impurities adjacent to bound pair and boundaries cause two kinds of bound states: one is dimer-monomer bound state and the other is bound edge state. In quantum walks, the spread velocity of dimer-monomer bound state is determined by the maximal group velocity of their energy band, which is much smaller than that in the single-particle case. In Bloch oscillations, the period of dimer-monomer bound states is one third of that in the single-particle case. Emergence of bound edge states also requires that interaction-induced defects are greater than the effective tunneling strength of three-particle bound state. Our work provides new insights to basic mechanics and collective dynamics of three-particle bound states.

References in corpus (16)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Universal computation by quantum walk
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Repulsively bound atom pairs in an optical lattice
• Realization of quantum walks with negligible decoherence in waveguide lattices
• Strongly Correlated Quantum Walks in Optical Lattices
• Two-particle states in the Hubbard model
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Applying the relativistic quantization condition to a three-particle bound state in a periodic box
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Interaction-induced multiparticle bound states in the continuum
• Bloch oscillations of multi-magnon excitations in a Heisenberg XXZ chain
• Topological pumping induced by spatiotemporal modulation of interaction
• Interaction-induced topological pumping in a solid-state quantum system
• Inter-species topological phases via a dynamical gauge field