Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model

Abstract

The Fermi-Hubbard model (FHM) is a cornerstone of modern condensed matter theory. Developed for interacting electrons in solids, which typically exhibit SU($2$) symmetry, it describes a wide range of phenomena, such as metal to insulator transitions and magnetic order. Its generalized SU($N$)-symmetric form, originally applied to multi-orbital materials such as transition-metal oxides, has recently attracted much interest owing to the availability of ultracold SU($N$)-symmetric atomic gases. Here we report on a detailed experimental investigation of the SU($N$)-symmetric FHM using local probing of an atomic gas of ytterbium in an optical lattice to determine the equation of state through different interaction regimes. We prepare a low-temperature SU($N$)-symmetric Mott insulator and characterize the Mott crossover, representing important steps towards probing predicted novel SU($N$)-magnetic phases.

References in corpus (28)

• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Exploring the Thermodynamics of a Universal Fermi Gas
• Fermi-Hubbard physics with atoms in an optical lattice
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Degenerate Fermi Gases of Ytterbium
• Ultracold fermions and the SU(N) Hubbard model
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Feynman diagrams versus Fermi-gas Feynman emulator
• Degenerate Fermi Gas of ${}^{87}$Sr
• Strong saturation absorption imaging of dense clouds of ultracold atoms
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Superfluidity and magnetism in multicomponent ultracold fermions
• Extracting density-density correlations from in situ images of atomic quantum gases
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Compressibility of a fermionic Mott insulator of ultracold atoms
• High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices
• Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
• Mott transitions in ternary flavor mixtures of ultracold fermions on optical lattices
• Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices
• Theory of SU(N) Fermi liquid
• Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices
• Ground state phase diagram of the repulsive SU(3) Hubbard model in Gutzwiller approximation
• Minimizing nonadiabaticities in optical-lattice loading
• Superfluid, staggered state, and Mott insulator of repulsively interacting three-component fermionic atoms in optical lattices
• Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions

Cited by in corpus (145)

• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Microscopic control and detection of ultracold strontium in optical-tweezer arrays
• Roadmap on Atomtronics: State of the art and perspective
• Spin Transport in a Mott Insulator of Ultracold Fermions
• Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
• Antiferromagnetic spin correlation of SU($\mathcal{N}$) Fermi gas in an optical super-lattice
• Dynamics of Ultracold Quantum Gases in the Dissipative Fermi-Hubbard Model
• Topological fractional pumping with alkaline-earth(-like) ultracold atoms
• Equation of state of the two-dimensional Hubbard model
• Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model
• Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
• Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields
• Doublon-holon origin of the subpeaks at the Hubbard band edges
• Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model
• Quantum and Thermal Phase Transitions of the Triangular SU(3) Heisenberg Model under Magnetic Fields
• Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
• Deep Learning-Enhanced Variational Monte Carlo Method for Quantum Many-Body Physics
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Quantum correlations at infinite temperature: the dynamical Nagaoka effect
• Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• DMRG simulations of SU(N) Heisenberg chains using standard Young tableaux: fundamental representation and comparison with finite-size Bethe ansatz
• Chiral Haldane phases of SU(N) quantum spin chains in the adjoint representation
• Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
• A beginner's guide to non-abelian iPEPS for correlated fermions
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
• Flag manifold sigma models: spin chains and integrable theories
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Majorana Quasi-Particles Protected by ${\mathbb{Z}}_2$ Angular Momentum Conservation
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Topological chiral spin liquids and competing states in triangular lattice SU($N$) Mott insulators
• Site-resolved imaging of a bosonic Mott insulator using ytterbium atoms
• Exact eigenstates of extended SU($N$) Hubbard models: Generalizations of $\eta$-pairing states with $N$-particle off-diagonal long-range order
• Finite Temperature Phase Transitions in the SU$(N)$ Hubbard model
• Perspective on new implementations of atomtronic circuits
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Rigorous results on the ground state of the attractive SU($N$) Hubbard model
• A strontium quantum-gas microscope
• Multipolar Kondo Effect in ${}^1$S${}_0$-${}^3$P${}_2$ Mixture of ${}^{173}$Yb Atoms
• Collective excitations in two-dimensional SU($N$) Fermi gases with tunable spin
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Emergent low-energy bound states in the two-orbital Hubbard model
• Dimensional crossover in the SU(4) Heisenberg model in the six-dimensional antisymmetric self-conjugate representation revealed by quantum Monte Carlo and linear flavor-wave theory
• Dipole-dipole frequency shifts in multilevel atoms
• Filling-driven Mott transition in SU(N) Hubbard models
• Spontaneously symmetry breaking states in the attractive SU$(N)$ Hubbard model
• Interorbital Interactions in an SU(2)xSU(6)-Symmetric Fermi-Fermi Mixture
• SU(N) magnetism with ultracold molecules
• Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
• Persistent currents in ultracold gases
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model
• Slater and Mott insulating states in the SU(6) Hubbard model
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Exact eigenstates of multicomponent Hubbard models: SU($N$) magnetic $\eta$ pairing, weak ergodicity breaking, and partial integrability
• Resonant dynamics of strongly interacting SU($n$) fermionic atoms in a synthetic flux ladder
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Repulsive polarons in alkaline-earth(-like) atoms across an orbital Feshbach resonance
• Quantum optics and frontiers of physics: The third quantum revolution
• Projection of Infinite-$U$ Hubbard Model and Algebraic Sign Structure
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry
• Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice
• Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
• Generalized Schrieffer-Wolff transformation of multi-flavor Hubbard models
• Haldane Gap of the Three-Box Symmetric $\mathrm{SU}(3)$ Chain
• Intertwining SU($N$) symmetry and frustration on a honeycomb lattice
• Trion states and quantum criticality of attractive SU(3) Dirac fermions
• SU(4)-symmetric Hubbard model at quarter filling: Insights from the dynamical mean-field approach
• Ferromagnetism in the SU(N) Kondo lattice model -- SU(N) double exchange and supersymmetry
• "Haldane" phases with ultracold fermionic atoms in double-well optical lattices
• Adiabatic spin-dependent momentum transfer in an SU(N) degenerate Fermi gas
• Linear Flavor-Wave Analysis of SU(4)-Symmetric Tetramer Model with Population Imbalance
• Engineering analog quantum chemistry Hamiltonians using cold atoms in optical lattices
• Scalable, ab initio protocol for quantum simulating SU($N$)$\times$U(1) Lattice Gauge Theories
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Photoassociation spectroscopy of ultracold ${}^{173}$Yb atoms near the intercombination line
• Interference dynamics of matter-waves of SU($N$) fermions
• High-fidelity imaging of a band insulator in a three-dimensional optical lattice clock
• SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
• Geometric representation of spin correlations and applications to ultracold systems
• Coherent control over the high-dimensional space of the nuclear spin of alkaline-earth atoms
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Finite Temperature Strong Coupling Expansions for the SU(N) Hubbard Model
• Deconfined quantum criticality in SU(3) antiferromagnets on the triangular lattice
• Studying the low-entropy Mott transition of bosons in a three-dimensional optical lattice by measuring the full momentum-space density
• Exact one-particle density matrix for SU($N$) fermionic matter-waves in the strong repulsive limit
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• Frustrated orbital Feshbach resonances in a Fermi gas
• Superconductivity in a Topological Lattice Model with Strong Repulsion
• Digital quantum simulation of lattice fermion theories with local encoding
• Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures
• Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
• The Haldane gap in the SU(3) [3 0 0] Heisenberg chain
• Even-odd effects in the $J_1-J_2$ SU($N$) Heisenberg spin chain
• Stabilization of the chiral phase of the SU($6m$) Heisenberg model on the honeycomb lattice with $m$ particles per site for $m$ larger than 1
• Microsecond-scale high-survival and number-resolved detection of ytterbium atom arrays
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models
• Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• On the Divergence of the Ferromagnetic Susceptibility in the SU(N) Nagaoka-Thouless Ferromagnet
• State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
• Multiparticle quantum walk: a dynamical probe of topological many-body excitations
• 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
• Thermal Ising transition in two-dimensional SU(3) Fermi lattice gases with population imbalance
• Flat-band ferromagnetism in the SU($N$) Hubbard and Kondo lattice models
• Mott insulating states of the anisotropic SU(4) Dirac fermions
• Confinement-induced Resonance of Alkaline-earth-metal-like Atoms in Anisotropic Quasi-one-dimensional Traps
• Itinerant ferromagnetism in an SU(3) Fermi-Hubbard model at finite temperatures: A dynamical mean-field theory study
• Structural complexity of snapshots of 2D Fermi-Hubbard systems
• Persistent Current of SU(N) Fermions
• Single-atom imaging of ${}^{173}$Yb in optical tweezers loaded by a five-beam magneto-optical trap
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS
• Entanglement Spectrum as a diagnostic of chirality of Topological Spin Liquids: Analysis of an $\mathrm{SU}(3)$ PEPS
• Solving the SU($N$) Orbital Hatsugai-Kohmoto Model
• Kohn-Luttinger-like mechanism for unconventional charge density waves
• 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
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Onset of charge incompressibility and Mott gaps in the Honeycomb-Lattice SU(4) Hubbard Model: Lessons for Twisted Bilayer Graphene systems
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states
• Magnetic correlations in the $SU(3)$ triangular-lattice $t$-$J$ model at finite doping
• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain
• Trion formation and ordering in the attractive SU(3) Fermi-Hubbard model
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice
• Hydrodynamic equations for a U(N) invariant superfluid
• Entanglement-enhanced correlation propagation in the one-dimensional SU($N$) Fermi-Hubbard model
• Generalized Nagaoka ferromagnetism accompanied by flavor-selective Mott states in an SU($N$) Fermi-Hubbard model
• Enhancing quantum order with fermions by increasing species degeneracy
• Edge states and universality class of the critical two-box symmetric SU(3) chain
• Sub-Doppler cooling, state preparation, and optical trapping of a triel atom