A toolbox for lattice spin models with polar molecules
arXiv:quant-ph/0512222 · doi:10.1038/nphys287
Abstract
There is growing interest to investigate states of matter with topological order, which support excitations in the form of anyons, and which underly topological quantum computing. Examples of such systems include lattice spin models in two dimensions. Here we show that relevant Hamiltonians can be systematically engineered with polar molecules stored in optical lattices, where the spin is represented by a single electron outside a closed shell of a heteronuclear molecule in its rotational ground state. Combining microwave excitation with the dipole-dipole interactions and spin-rotation couplings allows us to build a complete toolbox for effective two-spin interactions with designable range and spatial anisotropy, and with coupling strengths significantly larger than relevant decoherence rates. As an illustration we discuss two models: a 2D square lattice with an energy gap providing for protected quantum memory, and another on stacked triangular lattices leading to topological quantum computing.
7 pages, 4 figures. v2 includes minor changes to text and new suplemental information in the form of one new figure and an appendix
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- Magnetic Feshbach resonances in ultracold collisions between Cs and Yb atoms
- Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
- Quantum robustness and phase transitions of the 3D Toric Code in a field
- Creating collective many-body states with highly excited atoms
- Double Microwave Shielding
- Hyperfine structure of 2Sigma molecules containing alkaline-earth atoms
- Rigorous Calculations of Non-Abelian Statistics in the Kitaev Honeycomb Model
- Coherent Manipulation of the Internal State of Ultracold RbCs Molecules with Multiple Microwave Fields
- Two-photon photoassociation spectroscopy of the YbLi molecular ground state
- Statistical sensitivity of phase measurements via laser-induced fluorescence with optical cycling detection
- The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species
- Formation of ultracold dipolar molecules in the lowest vibrational levels by photoassociation
- Long range forces between polar alkali diatoms aligned by external electric fields
- Suppressed spontaneous emission for coherent momentum transfer
- Fate of Dirac Points in a Vortex Superlattice
- Ultracold LiCr: a new pathway to quantum gases of paramagnetic polar molecules
- Collisional Aspects of Bosonic and Fermionic Dipoles in Quasi-Two-Dimensional Confining Geometries
- Topological quantum error correction in the Kitaev honeycomb model
- Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
- One dimensional magneto-optical compression of a cold CaF molecular beam
- Two interacting ultracold molecules in a one-dimensional harmonic trap
- Unconventional Spin Density Waves in Dipolar Fermi Gases
- Realization of the Exactly Solvable Kitaev Honeycomb Lattice Model in a Spin Rotation Invariant System
- Preparation of Rb and Cs in the motional ground state of a single optical tweezer
- On the role of the magnetic dipolar interaction in cold and ultracold collisions: Numerical and analytical results for NH() + NH()
- Cross-dimensional universality classes in static and periodically driven Kitaev models
- Double Degenerate Bose-Fermi Mixture of Strontium and Lithium
- Photostop: Production of zero-velocity molecules by photodissociation in a molecular beam
- Exact solutions of a class of S=1 quantum Ising spin models
- Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
- Stability and excitations of a bilayer of strongly correlated dipolar Bosons
- Correlations and enlarged superconducting phase of - chains of ultracold molecules on optical lattices
- Fractionalized Prethermalization in a Driven Quantum Spin Liquid
- Competing topological orders in three dimensions: X-cube versus toric code
- Creating Feshbach resonances for ultracold molecule formation with radiofrequency fields
- Quantum optics and frontiers of physics: The third quantum revolution
- Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
- Trapping Abelian anyons in fractional quantum Hall droplets
- Bell-type inequalities for cold heteronuclear molecules
- Quantum phases of dipolar rotors on two-dimensional lattices
- Unveiling the nature of three dimensional orbital ordering transitions: the case of and models on the cubic lattice
- Polarizability of ultracold molecules in the rovibrational ground state of
- Laser control of ultracold molecule formation: The case of RbSr
- Energy protection arguments fail in the interaction picture
- Relativistic many-body calculations of van der Waals coefficients for Yb-Li and Yb-Rb dimers
- Theory of cavity-assisted microwave cooling of polar molecules
- Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
- Quantum criticality at infinite temperature
- Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules
- Transition strength measurements to guide magic wavelength selection in optically trapped molecules
- Photoionization loss in simultaneous magneto-optical trapping of Rb and Sr
- Dynamics of Feshbach Molecules in an Ultracold Three-Component Mixture
- Optical Feshbach resonances and ground state molecule production in the RbHg system
- Dipolar atomic spin ensembles in a double-well potential
- An Adaptable Dual Species Effusive Source and Zeeman Slower Design Demonstrated with Rb and Li
- Proposal for the formation of ultracold deeply-bound RbSr dipolar molecules by all-optical methods
- Finite temperature quantum simulation of stabilizer Hamiltonians
- A high quality, efficiently coupled microwave cavity for trapping cold molecules
- Photoassociation of ultracold long-range polyatomic molecules
- Microwave trap for atoms and molecules
- Ion Trap Long-Range XY Model for Quantum State Transfer and Optimal Spatial Search
- Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
- Long-range transverse Ising model built with dipolar condensates in two-well arrays
- Quantum simulation of many-body spin interactions with ultracold polar molecules
- Effective quantum memory Hamiltonian from local two-body interactions
- Short-range Photoassociation of LiRb
- Trapping cold ground state argon atoms for sympathetic cooling of molecules
- Quantum Control of Light through an Atom-Molecule Dark State
- Coherent control of atomic transport in spinor optical lattices
- Efficient Pathway to NaCs Ground State Molecules
- Coherent optical nano-tweezers for ultra-cold atoms
- Effective spin-spin interactions in bilayers of Rydberg atoms and polar molecules
- General classification of qubit encodings in ultracold diatomic molecules
- Compass and Kitaev models -- Theory and Physical Motivations
- Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
- Prospects of forming high-spin polar molecules from ultracold atoms
- Ensemble inequivalence in long-range quantum systems
- Exact models for trimerization and tetramerization in spin chains
- Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
- Detection of ultracold molecules using an optical cavity
- Genetic braid optimization: A heuristic approach to compute quasiparticle braids
- Exact Chiral Spin Liquids and Mean-Field Perturbations of Gamma Matrix Models on the Ruby Lattice
- Magnetic control of ultra-cold Li and Yb() atom mixtures with Feshbach resonances
- Tailored jump operators for purely dissipative quantum magnetism
- Tunable anisotropic superfluidity in an optical kagome superlattice
- Spectroscopic determination of magnetic-field-dependent interactions in an ultracold Yb(3P2)-Li mixture
- Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
- Bilayer fractional quantum Hall states with ultracold dysprosium
- A general Zeeman slower for type-II transitions and polar molecules
- Collisions of bosonic ultracold polar molecules in microwave traps
- Atomic lattice excitons: from condensates to crystals
- Laser-Assisted Self-Induced Feshbach resonance for ultracold polar molecule formation
- Ferroelectricity-driven phonon Berry curvature and non-linear phonon Hall transports
- Ion-assisted ground-state cooling of a trapped polar molecule
- Interaction between polar molecules subject to a far-off-resonant optical field: Entangled dipoles up- or down-holding each other
- Fragmented superfluid due to frustration of cold atoms in optical lattices
- Laser cooling of a fermionic molecule
- Realization of Heisenberg models of spin systems with polar molecules in pendular states
- A general approach to state-dependent optical tweezer traps for polar molecules
- Study of dipole moments of LiSr and KRb molecules by quantum Monte Carlo methods
- Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
- Realization of Topological Quantum Computation with surface codes
- Optical stimulated slowing of polar heavy-atom molecules with a constant beat phase
- Non-adiabatic control of quantum energy transfer in ordered and disordered arrays
- Anisotropic Polarizability of Ultracold Ground-state NaRb Molecules
- Fine Structure of Open Shell Diatomic Molecules in Combined Electric and Magnetic Fields
- Controllable quantum spin glasses with magnetic impurities embedded in quantum solids
- Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
- Combining Slater-type orbitals and effective core potentials
- Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system
- Experimental and theoretical study of the B(2) X(1) system in the KSr molecule
- Symmetry breaking in sticky collisions between ultracold molecules
- Spectroscopic characterization of the a state of aluminum monofluoride
- Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
- Simulation of anyonic fractional statistics of Kitaev's toric model in circuit QED
- Mimicking multi-channel scattering with single-channel approaches
- Exploring spin-squeezing in the Mott insulating regime: role of anisotropy, inhomogeneity and hole doping
- Van der Waals molecules consisting of a zinc or cadmium atom interacting with an alkali-metal or alkaline-earth-metal atom
- Dynamical manipulation of Dirac points in the Kitaev honeycomb model
- Interaction potential for NaCs for ultracold scattering and spectroscopy
- Tunable photon-mediated interactions between spin-1 systems
- Deceleration of continuous molecular beams
- Thermal Canting of Spin-Bond Order
- Composite anyon coding and the initialization of a topological quantum computer
- Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
- Three-body interactions on a triangular lattice
- Strongly-coupled Josephson junction array for simulation of frustrated one-dimensional spin models
- Simulation of non-Abelian Anyons using ribbon operators connected to a common base site
- Pendular trapping conditions for ultracold polar molecules enforced by external electric fields
- Temperature-Dependent Contact of Weakly Interacting Single-Component Fermi Gases and Loss Rate of Degenerate Polar Molecules
- Geometric representation of spin correlations and applications to ultracold systems
- Quenching across quantum critical points in periodic systems: dependence of scaling laws on periodicity
- Boson Core Compressibility
- Associative detachment of rubidium hydroxide
- Magnetic merging of ultracold atomic gases of Rb and Rb
- Quantum 2-Body Hamiltonian for Topological Color Codes
- Feshbach resonances and molecule formation in ultracold mixtures of Rb and Yb(P) atoms
- Fractional Excitations in Cold Atomic Gases
- Bounds on detection of Bell correlations with entangled ultra-cold atoms in optical lattices under occupation defects
- Stability of quasicrystalline ultracold fermions to dipolar interactions
- Elastic and inelastic collisions of molecules in a magnetic field
- Quasimomentum distribution and expansion of an anyonic gas
- Hyperfine structure of the state of AlCl and its relevance to laser cooling and trapping
- Pair-eigenstates and mutual alignment of coupled molecular rotors in a magnetic field
- Supersolid Polar Molecules beyond Pairwise Interactions
- Comprehensive characterization of an apparatus for cold electromagnetic dysprosium dipoles
- One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
- Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
- Anomalous Behavior of Magnetic Susceptibility Obtained by Quench Experiments in Isolated Quantum Systems
- Spin-orbit-coupled Bose-Einstein condensates of rotating polar molecules
- Near-threshold bound states of the dipole-dipole interaction
- Intercombination line photoassociation spectroscopy of RbYb
- Magnetic Feshbach resonances in collisions of non-magnetic closed-shell molecules
- Resonances in non-universal dipolar collisions
- Molecular machines for quantum error correction
- Quantum Simulation of Spin-1 XXZ-Heisenberg Models and the Haldane Phase with Dysprosium
- Chiral spin liquid in a Kitaev model
- Domain-Wall Ferroelectric Polarons in a two-dimensional Rotor Lattice Model
- Laser-painted cavity-mediated interactions in a quantum gas
- Proposed all-versus-nothing violation of local realism in the Kitaev spin-lattice model
- Quantum annealing with pairs of molecules as qubits
- Probing -Spin Correlations in Optical Lattices
- Trapping molecules on chips
- Classical crystal formation of dipoles in two dimensions
- Stochastic and equilibrium pictures of the ultracold FFR molecular conversion rate
- Quantum algorithm for the Laughlin wave function
- Spinor Bose-Einstein Condensates of Rotating Polar Molecules
- A proposal for sympathetically cooling neutral molecules using cold ions
- Interacting in-plane molecular dipoles in a zig-zag chain
- Microcanonical analysis of the Curie-Weiss anisotropic quantum Heisenberg model in a magnetic field
- Fracton and topological order in the XY checkerboard toric code
- Spin dependent inelastic collisions between metastable state two-electron atoms and ground state alkali-atoms
- Enhancing the Thermal Stability of Majorana Fermions with Redundancy Using Dipoles in Optical Lattices
- Incompressible states of a two-component Fermi gas in a double-well optical lattice
- Observation of collectivity enhanced magnetoassociation of Li in the quantum degenerate regime
- Purely long-range polar molecules composed of identical lanthanide atoms
- Dynamics of translational and rotational thermalization of AlF molecules via collisions with cryogenic helium
- Molecular orientation entanglement and temporal Bell-type inequalities
- Triplet Superfluidity on a triangular ladder with dipolar fermions
- Polarization Decoupling Multi-Port Beam-Splitting Metasurface for Miniaturized Magneto-Optical Trap
- Collective Effects in Linear Spectroscopy of Dipole-Coupled Molecular Arrays
- Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices
- Lattice models with long-range and number-non-conserving interactions with Zeeman excitations of ultracold magnetic atoms
- Quantum computation at the edge of a disordered Kitaev honeycomb lattice
- Stable Collective Dynamics of Two-Level Systems Coupled by Dipole Interactions
- Phase Equilibrium of Binary Mixtures in Mixed Dimensions
- Continuously tracked, stable, large excursion trajectories of dipolar coupled nuclear spins
- Spin Waves and Dielectric Softening of Polar Molecule Condensates
- The Li + CaF Ca + LiF chemical reaction under cold conditions
- Ab initio electronic structure of the Sr molecular ion
- Robust storage qubits in ultracold polar molecules
- Role of Matter Interactions in Superradiant Phenomena
- Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
- On the complex behaviour of the density in composite quantum systems
- Repeated output coupling of ultracold Feshbach molecules from a Cs BEC
- Magnetic Feshbach resonances between atoms in S and P states: mechanisms and dependence on atomic properties
- Merging Quantum Loop Gases: a Route to Non-Abelian Topological Phases
- Nanofibre-based trap for Rb molecule
- Fluctuation-Driven Vortex Fractionalization in Topologically Ordered Superfluids of Cold Atoms
- Atom-Molecule Superradiance and Entanglement with Cavity-Mediated Three-Body Interactions
- Laser Cooling Scheme for the Carbon Dimer (C)
- Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
- Spin--spin interaction and magnetic Feshbach resonances in collisions of high-spin atoms with closed-shell atoms
- Fate of thermalization of ultracold fermions with two-body dissipation
- Defect production due to quenching through a multicritical point and along a gapless line
- Phase transitions in dipolar spin-1 Bose gases
- Confinement-induced resonances for the creation of quasi-one-dimensional ultra cold gases of alkali--alkaline-earth dimers
- Competing Interactions and the Effects of Uniaxial Out-of-plane Perturbations in the Honeycomb Antiferromagnet NaCoTeO
- What is the diatomic molecule with the largest dipole moment?
- Optical lattice quantum simulator of dynamics beyond Born-Oppenheimer
- A versatile apparatus for simultaneous trapping of multiple species of ultracold atoms and ions to enable studies of low energy collisions and cold chemistry
- Measurement of the Electric Dipole Moment of AlCl by Stark Level Spectroscopy
- Lossy Quantum Defect Theory of Ultracold Molecular Collisions
- Long-range interactions in Weyl dense atomic arrays protected from dissipation and disorder
- Aspects of arbitrarily oriented dipoles scattering in plane: short-range interaction influence
- Low Duty Cycle Pulsed UV Technique for Spectroscopy of Aluminum Monochloride
- Roaming pathways and survival probability in real-time collisional dynamics of cold and controlled bialkali molecules
- First-principle construction of U(1) symmetric matrix product states
- Thermal-assisted Anisotropy and Thermal-driven Instability in the Superfluidity state of Two-Species Polar Fermi Gas
- Two-state Bogoliubov theory of a molecular Bose gas
- Beats, broken-symmetry superfluid on a one dimensional anyon Hubbard model
- Ultracold coherent control of molecular collisions at a Förster resonance
- Covariance-based method for eigenstate factorization and generalized singlets
- Quantum walks assisted by particle number fluctuations
- Tuning long-range fermion-mediated interactions in cold-atom quantum simulators
- Empirical LiK excited state potentials: connecting short range and near dissociation expansions
- Universal Quantum Computation with Abelian Anyon Models
- Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
- Microwave-assisted coherent control of ultracold polar molecules with a ladder-type rotational states
- Simplifying quantum double Hamiltonians using perturbative gadgets
- Ultracold collisions in the Yb-Li mixture system
- Global operations for protected quantum memories in atomic spin lattices
- Ensemble Inequivalence in Long-Range Quantum Spin Systems
- Formation of ultracold KCs Feshbach molecules
- Metastable ferromagnetic clusters in dissipative many-body systems of polar molecules
- Scalable platform for qudit-based quantum computing using polar molecules
- Spin and thermal current scaling at a -junction of XX spin chains
- Bogoliubov theory of a Bose-Einstein condensate of rigid rotor molecules
- Ab initio study of the reactivity of ultracold RbSrRbSr collisions
- Analysis of two and three dipolar bosons in a spherical harmonic trap
- Magnetic field effects on the Kitaev model coupled to environment
- Higher-order topological quantum paramagnets
- Small-Network Approximations for Geometrically Frustrated Ising Systems
- Trapping polar molecules by surface acoustic waves
- Giant magnetoresistance of edge current between fermion and spin topological systems
- Accurate simulation and thermal tuning by temperature-adaptive boundary interactions on quantum many-body systems
- Emergence of triplet orbital pairing and non-Abelian states in ultracold multi-orbital optical lattices with quadratic band touching
- Quantum Degenerate Mixtures of Cs and Yb
- Optimizing Pulsed-Laser Ablation Production of AlCl Molecules for Laser Cooling
- Parity-Doublet Coherence Times in Optically Trapped Polyatomic Molecules
- High-sensitivity molecular spectroscopy of SrOH using magneto-optical trapping
- Hyperfine van der Waals repulsion between open-shell polar molecules
- Optimal quantum spatial search with one-dimensional long-range interactions
- Emergence of caustics in dynamics of the Kitaev model
- Quantum simulation of the Hubbard model with ultracold fermions in optical lattices
- Entanglement creation in cold molecular gases using strong laser pulses
- Simultaneous Zeeman deceleration of polyatomic free radical with lithium atoms
- Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers