Engineering extended Hubbard models with Zeeman excitations of ultracold Dy atoms

Abstract

We show that Zeeman excitations of ultracold Dy atoms trapped in an optical lattice can be used to engineer extended Hubbard models with tunable inter-site and particle number-non-conserving interactions. We show that the ratio of the hopping amplitude and inter-site interactions in these lattice models can be tuned in a wide range by transferring the atoms to different Zeeman states.We propose to use the resulting controllable models for the study of the effects of direct particle interactions and particle number-non-conserving terms on Anderson localization. arXiv:1507.07042v3 [physics.atom-ph]

General Classification of Qubit Encodings in Ultracold Diatomic Molecules

“…At a typical optical lattice spacing R ij = 500 nm, the strength of the MD interaction is 0.42 Hz, which is comparable to the electric QQ interaction. The utility of the MD interaction has been pointed out in the context of quantum information processing and quantum simulation , with magnetic atoms trapped in optical lattices. We envision that the intermolecular MD interaction could be used in the same way to, e.g., engineer quantum logic gates between trapped magnetic molecules.…”

Topological bound states in interacting Su–Schrieffer–Heeger rings

“…Upon loading two ultracold bosonic atoms into an optical lattice with tunable hopping constants t i and repulsive on-site interaction U, the experimental creation and manipulation of bound states in this Bose-Hubbard model has been realized [29,33,34]. To detect these topological bound states, the introduction of a nearest-neighbor interaction term V in an optical lattice loaded with either bosonic or fermionic atoms is required [65], which has proven to be experimentally more challenging than the introduction of the U term. Additionally, one has to be in the V t 1 , t 2 limit for any of the two-particle systems considered in this paper (spinless fermions, opposite spins and identical bosons, with arbitrary values for U in the two latter cases).…”

Quantum walks assisted by particle-number fluctuations

“…Since the c † i c † j term generates pairs of particles in adjacent sites, it is important to consider the role of intersite interactions v. Such interactions appear in extended Hubbard models, leading to non-trivial properties of the lattice systems [15,62,63] and inducing correlations in quantum walks [33]. Here, they are transient as the mutliple-particle subspaces are populated only virtually.…”

“…With recent advances in the experiments on controlling atoms [10][11][12][13][14][15], molecules [16][17][18], photons [19] and arrays of superconducting qubits [20][21][22][23][24], it has become possible to engineer lattice Hamiltonians. This, combined with the importance of the speed of quantum walks for the quantum computing algorithms and for the study of the fundamental limits of the velocity of quantum correlation propagations [25,26], raises the question if and how lattice or graph Hamiltonians can be engineered to accelerate quantum walks.…”