Quantum Simulations of Extended Hubbard Models with Dipolar Crystals

Abstract

In this paper we study the realization of lattice models in mixtures of atomic and dipolar molecular quantum gases. We consider a situation where polar molecules form a self-assembled dipolar lattice, in which atoms or molecules of a second species can move and scatter. We describe the system dynamics in a master equation approach in the Brownian motion limit of slow particles and fast phonons, which we find appropriate for our system. In a wide regime of parameters, the reduced dynamics of the particles leads to physical realizations of extended Hubbard models with tuneable long-range interactions mediated by crystal phonons. This extends the notion of quantum simulation of strongly correlated systems with cold atoms and molecules to include phonon-dynamics, where all coupling parameters can be controlled by external fields.

44 pages, 14 figures

References in corpus (28)

• A High Phase-Space-Density Gas of Polar Molecules
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Ultracold Molecules in the Ro-Vibrational Triplet Ground State
• Schemes for robust quantum computation with polar molecules
• Ultracold dense gas of deeply bound heteronuclear molecules
• Precision Test of Mass Ratio Variations with Lattice-Confined Ultracold Molecules
• Quantum phase transition in a two-dimensional system of dipoles
• Cold polar molecules in 2D traps: Tailoring interactions with external fields for novel quantum phases
• Using Molecules to Measure Nuclear Spin-Dependent Parity Violation
• Coherent optical transfer of Feshbach molecules to a lower vibrational state
• Magneto-electrostatic trapping of ground state OH molecules
• Calculations of static dipole polarizabilities of alkali dimers. Prospects for alignment of ultracold molecules
• Magnetic trapping and Zeeman relaxation of imidogen (NH X-triplet-Sigma)
• Repulsive shield between polar molecules
• Heteronuclear molecules in an optical dipole trap
• Preparation of a quantum state with one molecule at each site of an optical lattice
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Molecular Dipolar Crystals as High Fidelity Quantum Memory for Hybrid Quantum Computing
• Controlling collisions of ultracold atoms with dc electric fields
• Continuous loading of an electrostatic trap for polar molecules
• Formation of ultracold LiCs molecules
• Optical pumping of trapped neutral molecules by blackbody radiation
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Spectroscopy of Ultracold, Trapped Cesium Feshbach Molecules
• Photoassociation adiabatic passage of ultracold Rb atoms to form ultracold Rb_2 molecules
• Fröhlich Polarons from 0D to 3D: Concepts and Recent Developments
• Metastable Feshbach Molecules in High Rotational States

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• Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
• The impurity problem in a bilayer system of dipoles
• Ion-induced interactions in a Tomonaga-Luttinger liquid
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• Instabilities of a matter wave in a matter grating
• Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles
• Quantum simulation of extended electron-phonon coupling models in a hybrid Rydberg atom setup
• Vibrational quenching of the electronic ground state in ThO in cold collisions with ${}^3$He
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