SU(N) magnetism with ultracold molecules

Abstract

Quantum systems with SU($N$) symmetry are paradigmatic settings for quantum many-body physics. They have been studied for the insights they provide into complex materials and their ability to stabilize exotic ground states. Ultracold alkaline-earth atoms were predicted to exhibit SU($N$) symmetry for $N=2I+1=1,2,\dots ,10$, where $I$ is the nuclear spin. Subsequent experiments have revealed rich many-body physics. However, alkaline-earth atoms realize this symmetry only for fermions with repulsive interactions. In this paper, we predict that ultracold molecules shielded from destructive collisions with static electric fields or microwaves exhibit SU($N$) symmetry, which holds because deviations of the s-wave scattering length from the spin-free values are only about 3\% for CaF with static-field shielding and are estimated to be even smaller for bialkali molecules. They open the door to $N$ as large as $32$ for bosons and $36$ for fermions. They offer important features unachievable with atoms, including bosonic systems and attractive interactions.

arXiv comment11 pages, 8 figures, 2 tables

References in corpus (52)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• A one-dimensional liquid of fermions with tunable spin
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Quantum control of molecular rotation
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Trapped atomic condensates with anisotropic interactions
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Universal dynamics of a degenerate unitary Bose gas
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Evaporation of microwave-shielded polar molecules to quantum degeneracy
• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Observation of Bose-Einstein Condensation of Dipolar Molecules
• Microwave shielding of ultracold polar molecules
• The hyperfine energy levels of alkali metal dimers: ground-state polar molecules in electric and magnetic fields
• Resonant collisional shielding of reactive molecules using electric fields
• Probing site-resolved correlations in a spin system of ultracold molecules
• Dipolar evaporation of reactive molecules to below the Fermi temperature
• Controlling the scattering length of ultracold dipolar molecules
• Quantum state manipulation and cooling of ultracold molecules
• Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Suppression of inelastic collisions of polar ${}^1\Sigma$ state molecules in an electrostatic field
• Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
• Quenching to unitarity: Quantum dynamics in a 3D Bose gas
• Collisionally Stable Gas of Bosonic Dipolar Ground State Molecules
• Microwave shielding of bosonic NaRb molecules
• Adimensional theory of shielding in ultracold collisions of dipolar rotors
• Tuning ultracold collisions of excited rotational dipolar molecules
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Hyperfine structure of alkali-metal diatomic molecules
• Quench dynamics of a strongly interacting resonant Bose gas
• Long-range interactions between polar alkali-metal diatoms in external electric fields
• Finite-Temperature Properties of Attractive Three-Component Fermionic Atoms in Optical Lattices
• Magnetism and domain formation in SU(3)-symmetric multi-species Fermi mixtures
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Exact integrability of the su(n) Hubbard model
• Collective excitations in two-dimensional SU($N$) Fermi gases with tunable spin
• Trion and Dimer Formation of Three-Color Fermions
• Spontaneously symmetry breaking states in the attractive SU$(N)$ Hubbard model
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Shielding collisions of ultracold CaF molecules with static electric fields
• Quantum magnetism with ultracold molecules
• Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
• Trion states and quantum criticality of attractive SU(3) Dirac fermions
• Controlling collisional loss and scattering lengths of ultracold dipolar molecules with static electric fields
• Effective Hopping in Holographic Bose and Fermi-Hubbard Models

Cited by in corpus (13)

• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Long-lived multilevel coherences and spin-1 dynamics encoded in the rotational states of ultracold molecules
• SU($N$) symmetry with ultracold alkali dimers: weak dependence of scattering properties on hyperfine state
• Kinetic magnetism in the crossover between the square and triangular lattice Fermi-Hubbard models
• The SU(N) Fermi-Hubbard Model on two sites: Bethe Ansatz solution and Quantum Phase Transition of the Lipkin-Meshkov-Glick Model in the large-N limit
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Static impurity in a mesoscopic system of SU($N$) fermionic matter-waves
• Generalized pulse design in Floquet engineering: Application to interacting spin systems
• Trion formation and ordering in the attractive SU(3) Fermi-Hubbard model
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Magnetic correlations in the $SU(3)$ triangular-lattice $t$-$J$ model at finite doping