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

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Cited by in corpus (43)

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• Quantum control of molecular rotation
• Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
• Topological quantum matter with cold atoms
• Manipulation of Molecules with Electromagnetic Fields
• Quantum Magnetism with Polar Alkali Dimers
• Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
• Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
• Topological phases in ultracold polar-molecule quantum magnets
• Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Synthetic dimensions in ultracold molecules: quantum strings and membranes
• Causality and quantum criticality in long-range lattice models
• Kitaev honeycomb and other exotic spin models with polar molecules
• Quantum computational renormalization in the Haldane phase
• Vibrational energy transfer in ultracold molecule - molecule collisions
• Simulating quantum magnets with symmetric top molecules
• Emergent Time Scale in Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• The Hyperfine Molecular Hubbard Hamiltonian
• Rigorous Solution of the Spin-1 Quantum Ising Model with Single-ion Anisotropy
• Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules
• d-Wave Superfluidity in Optical Lattices of Ultracold Polar Molecules
• Strings of ultracold molecules in a synthetic dimension
• Structure and melting behavior of classical bilayer crystals of dipoles
• Tunable exciton interactions in optical lattices with polar molecules
• Entanglement in valence-bond-solid states on symmetric graphs
• Exact solutions of a class of S=1 quantum Ising spin models
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• Holonomic quantum computing in symmetry-protected ground states of spin chains
• Dimerized and trimerized phases for spin-2 Bosons in a one-dimensional optical lattice
• Floquet engineering from long-range to short-range interactions
• Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
• Spin-1 Haldane phase in a chain of Rydberg atoms
• Controllable quantum spin glasses with magnetic impurities embedded in quantum solids
• Non-adiabatic control of quantum energy transfer in ordered and disordered arrays
• Fine Structure of Open Shell Diatomic Molecules in Combined Electric and Magnetic Fields
• Plateau transitions of spin pump and bulk-edge correspondence
• Robust symmetry-protected metrology with the Haldane phase
• Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
• Molecular machines for quantum error correction
• Quantum annealing with pairs of ${}^2\Sigma$ molecules as qubits