Designing spin-1 lattice models using polar molecules

Abstract

We describe how to design a large class of always on spin-1 interactions between polar molecules trapped in an optical lattice. The spin degrees of freedom correspond to the hyperfine levels of a ro-vibrational ground state molecule. Interactions are induced using a microwave field to mix ground states in one hyperfine manifold with the spin entangled dipole-dipole coupled excited states. Using multiple fields anistropic models in one, two, or three dimensions, can be built with tunable spatial range. An illustrative example in one dimension is the generalized Haldane model, which at a specific parameter has a gapped valence bond solid ground state. The interaction strengths are large compared to decoherence rates and should allow for probing the rich phase structure of strongly correlated systems, including dimerized and gapped phases.

24 pages, 5 figures

References in corpus (5)

• Matrix product states represent ground states faithfully
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Implementation of Spin Hamiltonians in Optical Lattices
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• The Dynamics of 1D Quantum Spin Systems Can Be Approximated Efficiently

Cited by in corpus (8)

• Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
• Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
• Vibrational energy transfer in ultracold molecule - molecule collisions
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Rigorous Solution of the Spin-1 Quantum Ising Model with Single-ion Anisotropy
• Structure and melting behavior of classical bilayer crystals of dipoles
• Exact solutions of a class of S=1 quantum Ising spin models
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices