Topological phases in ultracold polar-molecule quantum magnets

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 (28)

• Many-Body Physics with Ultracold Gases
• Classification of topological insulators and superconductors in three spatial dimensions
• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein Condensation of Erbium
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Quantum degenerate dipolar Fermi gas
• An exact chiral spin liquid with non-Abelian anyons
• Minimally Entangled Typical Thermal State Algorithms
• Entanglement entropy for the long range Ising chain
• Hidden order in 1D Bose insulators
• Implementation of Spin Hamiltonians in Optical Lattices
• Rise and fall of hidden string order of lattice bosons
• Applying matrix product operators to model systems with long-range interactions
• The hyperfine energy levels of alkali metal dimers: ground-state polar molecules in electric and magnetic fields
• Repulsive shield between polar molecules
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• 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 ${}^2\Sigma$ molecules
• Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
• Designing spin-1 lattice models using polar molecules
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Tunable disorder in a crystal of cold polar molecules
• Non-adiabatic preparation of spin crystals with ultracold 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

Cited by in corpus (47)

• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Observation of Bose-Einstein Condensation of Dipolar Molecules
• 1D Magneto-Optical Trap of Polyatomic Molecules
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Strongly interacting ultracold polar molecules
• Realizing unconventional quantum magnetism with symmetric top molecules
• Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
• Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
• Spin-orbital dynamics in a system of polar molecules
• Spectral and Entanglement Properties of the Bosonic Haldane Insulator
• Reactions Between Layer-Resolved Molecules Mediated by Dipolar Exchange
• Anisotropic dependence of tune-out wavelength near Dy 741-nm transition
• Controlling the ac Stark effect of RbCs with dc electric and magnetic fields
• Strings of ultracold molecules in a synthetic dimension
• Complexes formed in collisions between ultracold alkali-metal diatomic molecules and atoms
• 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 ${}^{87}$Rb${}^{133}$Cs Molecules with Multiple Microwave Fields
• Correlations and enlarged superconducting phase of $t$-$J_{\perp }$ chains of ultracold molecules on optical lattices
• 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
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Phase diagrams of spin-$S$ Kitaev ladders
• Anisotropic Polarizability of Ultracold Ground-state ${}^{23}$Na${}^{87}$Rb Molecules
• 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
• Magnetic properties and quench dynamics of two interacting ultracold molecules in a trap
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• Topological phonons in arrays of ultracold dipolar particles
• Lieb-Schultz-Mattis theorem in higher dimensions from approximate magnetic translation symmetry
• 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
• Quantum computation at the edge of a disordered Kitaev honeycomb lattice
• Robust storage qubits in ultracold polar molecules
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Covariance-based method for eigenstate factorization and generalized singlets
• Molecule-molecule and atom-molecule collisions with ultracold RbCs molecules
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators
• Scalable platform for qudit-based quantum computing using polar molecules
• Higher-order topological quantum paramagnets
• Magnetic field effects on the Kitaev model coupled to environment
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction