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

  title={Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices},
  author={Miguel Bello and C. E. Creffield and Gloria Platero},
  journal={Physical Review B},
We analyze the dynamics of two strongly interacting fermions moving in two-dimensional 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 allows 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… 
17 Citations

Figures and Tables from this paper

Doublon Formation by Ions Impacting a Strongly Correlated Finite Lattice System.

The formation of a nonequilibrium steady state with homogeneous doublon distribution is reported, which should be particularly important for strongly correlated finite systems, such as graphene nanoribbons, and directly observable with fermionic atoms in optical lattices.

Electric circuit emulation of topological transitions driven by quantum statistics

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the

Interaction-induced topological properties of two bosons in flat-band systems

In flat-band systems, destructive interference leads to the localization of non-interacting particles and forbids their motion through the lattice. However, in the presence of interactions the

Topological two-body bound states in the interacting Haldane model

We study the topological properties of the two-body bound states in an interacting Haldane model as a function of interparticle interactions. In particular, we identify topological phases where the

Simulation of 1D Topological Phases in Driven Quantum Dot Arrays.

A driving protocol which allows us to use quantum dot arrays as quantum simulators for 1D topological phases and shows that by driving the system out of equilibrium, one can imprint bond order in the lattice and selectively modify the hopping amplitudes at will.

Interaction-induced lattices for bound states: Designing flat bands, quantized pumps, and higher-order topological insulators for doublons

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we

NOON states via a quantum walk of bound particles

Tight-binding lattice models allow the creation of bound composite objects which, in the strong-interacting regime, are protected against dissociation. We show that a local impurity in the lattice

Two-body bound and edge states in the extended SSH Bose-Hubbard model

Abstract We study the bosonic two-body problem in a Su-Schrieffer-Heeger dimerized chain with on-site and nearest-neighbor interactions. We find two classes of bound states. The first, similar to the

Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders

The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic

Probing the topology of the two-photon bands via time-dependent quantum walks.

This work shows that an appropriate choice of the initial state enables the retrieval of the topological invariant for the different types of the two-photon states in the interacting Su-Schrieffer-Heeger model.