Topological phases in ultracold polar-molecule quantum magnets
arXiv:1210.5518 · doi:10.1103/PhysRevB.87.081106
Abstract
We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S >= 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin degrees of freedom in microwave-dressed rotational states of the molecules and by coupling the spins through dipolar interactions. We demonstrate how one of the experimentally most accessible anisotropies stabilizes symmetry protected topological phases in spin ladders. Using the numerically exact density matrix renormalization group method, we find that these interacting phases -- previously studied only in the nearest-neighbor case -- survive in the presence of long-range dipolar interactions. We also show how to use our approach to realize the bilinear-biquadratic spin-1 and the Kitaev honeycomb models. Experimental detection schemes and imperfections are discussed.
Main text: 4 pages plus references, 3 figures. Supplementary info.: 4+epsilon pages. v2: significantly improved presentation
References in corpus (75)
- Many-Body Physics with Ultracold Gases
- Anyons in an exactly solved model and beyond
- Classification of topological insulators and superconductors in three spatial dimensions
- The density-matrix renormalization group
- New directions in the pursuit of Majorana fermions in solid state systems
- Quantum information with Rydberg atoms
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- A High Phase-Space-Density Gas of Polar Molecules
- The physics of dipolar bosonic quantum gases
- Entanglement spectrum of a topological phase in one dimension
- A toolbox for lattice spin models with polar molecules
- Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
- Classification of Gapped Symmetric Phases in 1D Spin Systems
- A Rydberg Quantum Simulator
- Symmetry protection of topological order in one-dimensional quantum spin systems
- Quantum computing with defects
- Bose-Einstein Condensation of Erbium
- Classifying quantum phases using Matrix Product States and PEPS
- Condensed Matter Theory of Dipolar Quantum Gases
- Formation of ultracold polar molecules in the rovibrational ground state
- Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
- Controlling the quantum stereodynamics of ultracold bimolecular reactions
- Quantum degenerate dipolar Fermi gas
- Matrix product operator representations
- An exact chiral spin liquid with non-Abelian anyons
- Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
- Minimally Entangled Typical Thermal State Algorithms
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- Three-body interactions with cold polar molecules
- Dynamical Crystallization in the Dipole Blockade of Ultracold Atoms
- Entanglement entropy for the long range Ising chain
- Controlling the hyperfine state of rovibronic ground-state polar molecules
- Long-lived dipolar molecules and Feshbach molecules in a 3D optical lattice
- Hidden order in 1D Bose insulators
- Implementation of Spin Hamiltonians in Optical Lattices
- Coherent transfer of photoassociated molecules into the rovibrational ground state
- Rise and fall of hidden string order of lattice bosons
- Quantum magnetism with multicomponent polar molecules in an optical lattice
- Quantum Magnetism with Polar Alkali Dimers
- Effective Spin Quantum Phases in Systems of Trapped Ions
- Applying matrix product operators to model systems with long-range interactions
- Physical Meaning of the Affleck-Kennedy-Lieb-Tasaki S=1 Quantum spin chain
- Ultracold Dipolar Gases in Optical Lattices
- The hyperfine energy levels of alkali metal dimers: ground-state polar molecules in electric and magnetic fields
- Dynamical crystal creation with polar molecules or Rydberg atoms in optical lattices
- Repulsive shield between polar molecules
- Anomalous Behavior of Spin Systems with Dipolar Interactions
- Topological Flat Bands from Dipolar Spin Systems
- Far from equilibrium quantum magnetism with ultracold polar molecules
- Dipolar Molecules in Optical Lattices
- Out of equilibrium dynamics with Matrix Product States
- Doped planar quantum antiferromagnets with striped phases
- Monte Carlo Study of the S=1/2 and S=1 Heisenberg Antiferromagnet on a Spatially Anisotropic Square Lattice
- The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice
- Implementation of Quantum Logic Gates Using Polar Molecules in Pendular States
- 1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules
- External field control of collective spin excitations in an optical lattice of molecules
- Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
- Smooth Boundary Conditions For Quantum Lattice Systems
- Entanglement of polar molecules in pendular states
- Designing spin-1 lattice models using polar molecules
- Emergent Time Scale in Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices
- The Hyperfine Molecular Hubbard Hamiltonian
- Trimer liquids and crystals of polar molecules in coupled wires
- Tunable disorder in a crystal of cold polar molecules
- Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
- Non-adiabatic preparation of spin crystals with ultracold polar molecules
- Long-range quantum gates using dipolar crystals
- Charge- versus spin driven stripe order: the role of transversal spin fluctuations
- Quantum spin models with long-range interactions and tunnelings: A quantum Monte Carlo study
- Long-range and frustrated spin-spin interactions in crystals of cold polar molecules
- Entanglement, fractional magnetization and long-range interactions
- Improved numerical methods for infinite spin chains with long-range interactions
- Shaping interactions between polar molecules with far-off-resonant light
- Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
Cited by in corpus (97)
- A Field Guide to Spin Liquids
- Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
- Quantum control of molecular rotation
- Manipulation of Molecules with Electromagnetic Fields
- Sisyphus Laser Cooling of a Polyatomic Molecule
- Realizing Fractional Chern Insulators with Dipolar Spins
- Creation of a low-entropy quantum gas of polar molecules in an optical lattice
- Many-body dynamics of dipolar molecules in an optical lattice
- Long-range Ising and Kitaev Models: Phases, Correlations and Edge Modes
- Robust encoding of a qubit in a molecule
- Observation of Bose-Einstein Condensation of Dipolar Molecules
- Quantum magnetism and topological ordering via enhanced Rydberg-dressing near Förster-resonances
- Ultracold molecules for quantum simulation: rotational coherences in CaF and RbCs
- Quantum degenerate mixtures of strontium and rubidium atoms
- Topological properties of a dense atomic lattice gas
- 1D Magneto-Optical Trap of Polyatomic Molecules
- Quantum correlations and entanglement in far-from-equilibrium spin systems
- Strongly interacting ultracold polar molecules
- A Quantum Dipolar Spin Liquid
- Scaling of the entanglement spectrum near quantum phase transitions
- Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
- Synthetic dimensions in ultracold molecules: quantum strings and membranes
- Realizing unconventional quantum magnetism with symmetric top molecules
- Topological phases with long-range interactions
- Causality and quantum criticality in long-range lattice models
- Accurate mapping of multilevel Rydberg atoms on interacting spin- particles for the quantum simulation of Ising models
- Topological Quantum Liquids with Long-Range Couplings
- Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
- Kitaev honeycomb and other exotic spin models with polar molecules
- Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
- Spin-orbital dynamics in a system of polar molecules
- Non-Abelian Fractional Chern Insulators from Long-Range Interactions
- Infrared-dressed entanglement of cold open-shell polar molecules for universal matchgate quantum computing
- Simulating quantum magnets with symmetric top molecules
- Spectral and Entanglement Properties of the Bosonic Haldane Insulator
- Reactions Between Layer-Resolved Molecules Mediated by Dipolar Exchange
- Quantum Simulation of the Haldane Phase Using Trapped Ions
- Quantum spin liquid in the semiclassical regime
- A new quantum gas apparatus for ultracold mixtures of K and Cs and KCs ground-state molecules
- Magnetic properties and pairing tendencies of the iron-based superconducting ladder BaFeS: combined ab initio and density matrix renormalization group study
- Anisotropic dependence of tune-out wavelength near Dy 741-nm transition
- Simulating the Haldane Phase in Trapped Ion Spins Using Optical Fields
- Bosons with long range interactions on two-leg ladders in artificial magnetic fields
- Controlling the ac Stark effect of RbCs with dc electric and magnetic fields
- Rydberg atom mediated non-destructive readout of collective rotational states in polar molecule arrays
- Strings of ultracold molecules in a synthetic dimension
- Exactly Solvable Points and Symmetry-Protected Topological Phases of Quantum Spins on a Zig-Zag Lattice
- Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
- Ground states of linear rotor chains via the density matrix renormalization group
- Magic Conditions for Multiple Rotational States of Bialkali Molecules in Optical Lattices
- Quantum simulation with fully coherent dipole--dipole-interactions mediated by three-dimensional subwavelength atomic arrays
- Coherent Manipulation of the Internal State of Ultracold RbCs Molecules with Multiple Microwave Fields
- The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species
- Correlations and enlarged superconducting phase of - chains of ultracold molecules on optical lattices
- Topology of surfaces for molecular Stark energy, alignment and orientation generated by combined permanent and induced electric dipole interactions
- Quantum simulation of the central spin model with a Rydberg atom and polar molecules in optical tweezers
- Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
- Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
- Supersymmetry and eigensurface topology of the spherical quantum pendulum
- Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
- Phase diagrams of spin- Kitaev ladders
- Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory
- Anisotropic Polarizability of Ultracold Ground-state NaRb Molecules
- Controllable quantum spin glasses with magnetic impurities embedded in quantum solids
- Directional properties of polar paramagnetic molecules subject to congruent electric, magnetic and optical fields
- Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
- Interaction potential for NaCs for ultracold scattering and spectroscopy
- Tunable photon-mediated interactions between spin-1 systems
- Measuring Majorana fermions qubit state and non-Abelian braiding statistics in quenched inhomogeneous spin ladders
- Topological phonons in arrays of ultracold dipolar particles
- Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
- Geometric representation of spin correlations and applications to ultracold systems
- Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
- Lieb-Schultz-Mattis theorem in higher dimensions from approximate magnetic translation symmetry
- Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
- Adiabatic state preparation of stripe phases with strongly magnetic atoms
- Stability of ground state degeneracy to long-range interactions
- Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction
- String order in dipole-blockaded quantum liquids
- Robust storage qubits in ultracold polar molecules
- Lattice models with long-range and number-non-conserving interactions with Zeeman excitations of ultracold magnetic atoms
- Quantum simulation of long range quantum spin glass with strong area-law violation using trapped ions
- Quantum computation at the edge of a disordered Kitaev honeycomb lattice
- Emergent quantum matter in graphene nanoribbons
- Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
- Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
- Tuning long-range fermion-mediated interactions in cold-atom quantum simulators
- Microwave-assisted coherent control of ultracold polar molecules with a ladder-type rotational states
- Covariance-based method for eigenstate factorization and generalized singlets
- Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
- Two-state Bogoliubov theory of a molecular Bose gas
- Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
- Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
- Higher-order topological quantum paramagnets
- Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
- Magnetic field effects on the Kitaev model coupled to environment
- Scalable platform for qudit-based quantum computing using polar molecules