Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices

Abstract

We study the dynamics of two strongly-interacting fermions moving in 2D lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon. We derive an effective Hamiltonian that permits us to understand the interplay between the interaction and the driving, revealing surprising effects that constrain the movement of the doublons. We show that it is possible to confine doublons to just the edges of the lattice, and also to a particular sublattice, if different sites in the unit cell have different coordination numbers. Contrary to what happens in 1D systems, here we observe the coexistence of both topological and Shockley-like edge states when the system is in a non-trivial phase.

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• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Interaction-induced topological properties of two bosons in flat-band systems
• Topological bound states in interacting Su-Schrieffer-Heeger rings
• Simulation of 1D topological phases in driven quantum dot arrays
• Two-body bound and edge states in the extended SSH Bose-Hubbard model
• Doublon formation by ions impacting a strongly correlated finite lattice system
• Interaction-induced topological states of photon pairs
• Fast quantum transfer mediated by topological domain walls
• NOON States via Quantum Walk of Bound Particles
• Spatial non-adiabatic passage using geometric phases
• Topological magnon insulator and quantized pumps from strongly-interacting bosons in optical superlattices
• Electric circuit emulation of topological transitions driven by quantum statistics
• Higher-order topological phase of interacting photon pairs
• Doublon lifetimes in dissipative environments
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Topological states in qubit arrays induced by density-dependent coupling
• Multipartite entanglement distribution in a topological photonic network
• Probing the topology of the two-photon bands via time-dependent quantum walks
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Topological bound states in a lattice of rings with nearest-neighbour interactions