Polar Molecules with Three-Body Interactions on the Honeycomb Lattice

Abstract

We study the phase diagram of ultra-cold bosonic polar molecules loaded on a two-dimensional optical lattice of hexagonal symmetry controlled by external electric and microwave fields. Following a recent proposal in Nature Physics \textbf{3}, 726 (2007), such a system is described by an extended Bose-Hubbard model of hard-core bosons, that includes both extended two- and three-body repulsions. Using quantum Monte-Carlo simulations, exact finite cluster calculations and the tensor network renormalization group, we explore the rich phase diagram of this system, resulting from the strongly competing nature of the three-body repulsions on the honeycomb lattice. Already in the classical limit, they induce complex solid states with large unit cells and macroscopic ground state degeneracies at different fractional lattice fillings. For the quantum regime, we obtain effective descriptions of the various phases in terms of emerging valence bond crystal states and quantum dimer models. Furthermore, we access the experimentally relevant parameter regime, and determine the stability of the crystalline phases towards strong two-body interactions.

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• A High Phase-Space-Density Gas of Polar Molecules
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• Quantum Gas of Deeply Bound Ground State Molecules
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• Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate
• Quantum fluids of self-assembled chains of polar molecules
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• Magnetization Plateau of Classical Ising Model on Shastry-Sutherland Lattice
• Phase Diagram of Interacting Bosons on the Honeycomb Lattice
• Solids and supersolids of three-body interacting polar molecules in an optical lattice
• High-Precision Thermodynamic and Critical Properties from Tensor Renormalization-Group Flows

Cited by in corpus (11)

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• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Three-body interactions on a triangular lattice
• Sampling General N-Body Interactions with Auxiliary Fields
• Tensor Renormalization Group: Local Magnetizations, Correlation Functions, and Phase Diagrams of Systems with Quenched Randomness
• Programming higher-order interactions of Rydberg atoms
• Perturbation Gadgets: Arbitrary Energy Scales from a Single Strong Interaction
• Ferroelectric quantum phase transition with cold polar molecules
• Thermal phase transitions in a honeycomb lattice gas with three-body interactions