Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model

Abstract

Interactions between particles normally induce the decay of the particles Bloch oscillations (BOs) in a periodic lattice. In the limit of strong on-site interactions, spin-$1/2$ fermions may form doublon bound states and undergo BOs in the presence of a tilted potential. Here we investigate the impact of nearest-neighbor interaction $V$ on the multi-doublon BOs in a mass-imbalanced extended Fermi-Hubbard model. We derive an effective Hamiltonian for doublons, and show that a slight change in $V$ can qualitatively alter their dynamic behaviors. Notably, at a resonance point, the doublons behave like free hard-core bosons. Under a tilted potential, the system may exhibit different types of multi-doublon BOs at or deviation from the resonance point. Numerical results are presented to demonstrate our conclusions in both one- and two-dimensional systems.

12 pages, 7 figures

References in corpus (22)

• The Kernel Polynomial Method
• Repulsively bound atom pairs in an optical lattice
• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Fractional Bloch oscillations in photonic lattices
• Quenching Bloch oscillations in a strongly correlated material
• Quantum liquid of repulsively bound pairs of particles in a lattice
• Quantum Simulation of an Extended Fermi-Hubbard Model Using a 2D Lattice of Dopant-based Quantum Dots
• Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
• Spin-Triplet Pairing Induced by Near-Neighbor Attraction in the Cuprate Chain
• Coherent shift of localized bound pair in Bose Hubbard model
• Instability of subdiffusive spin dynamics in strongly disordered Hubbard chain
• Filling-dependent doublon dynamics in the one-dimensional Hubbard model
• Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
• Tunable transport in the mass-imbalanced Fermi-Hubbard model
• Bloch oscillations of multi-magnon excitations in a Heisenberg XXZ chain
• Quantum Spinon Oscillations
• Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model
• Magnetic Bloch oscillations in a non-Hermitian quantum Ising chain
• Non-linear response to electric field in extended Hubbard models
• Site-selective doublon-holon dynamics in a pumped one-dimensional Hubbard superlattice with staggered Coulomb interactions
• Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms
• Quench dynamics in the one-dimensional mass-imbalanced ionic Hubbard model

Cited by in corpus (4)

• Formations of generalized Wannier-Stark ladders: Theorem and applications
• Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice
• Topological quantum slinky motion in resonant extended Bose-Hubbard model
• Laser-Induced Commensurate-Incommensurate Transition of Charge Order in a Hubbard Superlattice