Quantum Magnetism with Polar Alkali Dimers

Abstract

We show that dipolar interactions between ultracold polar alkali dimers in optical lattices can be used to realize a highly tunable generalization of the t-J model, which we refer to as the t-J-V-W model. The model features long-range spin-spin interactions J_z and J_perp of XXZ type, long-range density-density interaction V, and long-range density-spin interaction W, all of which can be controlled in both magnitude and sign independently of each other and of the tunneling t. The "spin" is encoded in the rotational degree of freedom of the molecules, while the interactions are controlled by applied static electric and continuous-wave microwave fields. Furthermore, we show that nuclear spins of the molecules can be used to implement an additional (orbital) degree of freedom that is coupled to the original rotational degree of freedom in a tunable way. The presented system is expected to exhibit exotic physics and to provide insights into strongly correlated phenomena in condensed matter systems. Realistic experimental imperfections are discussed.

24 pages, 8 figures

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• Probing real-space and time resolved correlation functions with many-body Ramsey interferometry
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• Persistence of locality in systems with power-law interactions
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• Anomalous Behavior of Spin Systems with Dipolar Interactions
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• Extending rotational coherence of interacting polar molecules in a spin-decoupled magic trap
• Probing many-body interactions in an optical lattice clock
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• Motional Ground State Cooling Outside the Lamb-Dicke Regime
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• Bose-Einstein Condensation and Many-Body Localization of Rotational Excitations of Polar Molecules
• Renormalization group analysis of dipolar Heisenberg model on square lattice
• Tunable exciton interactions in optical lattices with polar molecules
• Coherent Manipulation of the Internal State of Ultracold ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
• The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species
• Frustrated Magnetism of Dipolar Molecules on a Square Optical Lattice: Prediction of a Quantum Paramagnetic Ground State
• Robust nuclear spin entanglement via dipolar interactions in polar molecules
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• Microscopic derivation of multi-channel Hubbard models for ultracold nonreactive molecules in an optical lattice
• Controlling the dynamics of ultracold polar molecules in optical tweezers
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• Engineering frustrated Rydberg spin models by graphical Floquet modulation
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• Quantum annealing with pairs of ${}^2\Sigma$ molecules as qubits
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• Spin Squeezing with Itinerant Dipoles: A Case for Shallow Lattices
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• Spinor Bose-Einstein Condensates of Rotating Polar Molecules
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• On cold gases with anisotropic interactions
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