Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
arXiv:0809.1464 · doi:10.1126/science.1165449
Abstract
The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold K atoms in a 3D optical lattice. We have implemented a new method to directly measure the compressibility of the quantum gas in the trap using in-situ imaging and independent control of external confinement and lattice depth. Together with a comparison to ab-initio Dynamical Mean Field Theory calculations, we show how the system evolves for increasing confinement from a compressible dilute metal over a strongly-interacting Fermi liquid into a band insulating state. For strong interactions, we find evidence for an emergent incompressible Mott insulating phase.
21 pages, 5 figures and additional supporting material
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- Correlated bosons in a one-dimensional optical lattice: Effects of the trapping potential and of quasiperiodic disorder
- Discriminating antiferromagnetic signatures in ultracold fermions by tunable geometric frustration
- Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
- Adiabatic spin cooling using high-spin Fermi gases
- Mott transitions in three-component Falicov-Kimball model
- Density ripples in expanding low-dimensional gases as a probe of correlations
- Analysis of the Disorder-Induced Zero Bias Anomaly in the Anderson-Hubbard Model
- Mass-imbalance induced metal-insulator transition in a three-component Hubbard model
- Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU()-Symmetric Cold Atom Mixtures
- A Bespoke Single-Band Hubbard Model Material
- Ab initio analysis of the topological phase diagram of the Haldane model
- Superfluid phases of ultracold Fermi gases on a checkerboard superlattice
- Studying the low-entropy Mott transition of bosons in a three-dimensional optical lattice by measuring the full momentum-space density
- Long-distance Entanglement generation by Local Rotational Protocols in spin chains
- Quantum simulation costs for Suzuki-Trotter decomposition of quantum many-body lattice models
- Digital quantum simulation of lattice fermion theories with local encoding
- Tunneling of polarized fermions in 3D double wells
- The imbalanced antiferromagnet in an optical lattice
- All-optical pump-and-probe detection of dynamical correlations in a two-dimensional Fermi gas
- Metal-Insulator-Superconductor transition of spin-3/2 atoms on optical lattices
- Aspects of Superfluid Cold Atomic Gases in Optical Lattices
- Loading and detecting a three-dimensional Fermi gas in one-dimensional optical superlattice
- Probing Phases and Quantum Criticality using Deviations from the Local Fluctuation-Dissipation Theorem
- Measuring spin correlations in optical lattices using superlattice potentials
- Collision of one dimensional (1D) spin polarized Fermi gases in an optical lattice
- Rabi spectroscopy of three-dimensional optical lattice clocks
- Spin-selective insulators in Bose-Fermi mixtures
- Thermometry of ultracold fermions by (super)lattice modulation spectroscopy
- Layer-by-layer assembly of multilayer optical lattices: Application to displaced dice lattice
- Universality class of quantum criticality in the two-dimensional Hubbard model at intermediate temperatures ()
- Crossovers in Unitary Fermi Systems
- Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
- Dimensional and temperature dependence of metal insulator transition in correlated and disordered systems
- Incompressible states of a two-component Fermi gas in a double-well optical lattice
- Dynamics of a quantum quench in an ultra-cold atomic BCS superfluid
- Implementation strategies for multiband quantum simulators of real materials
- Assessing Quantum Thermalization in Physical and Configuration Spaces via Many-Body Weak Values
- Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
- Pairing phenomena and superfluidity of atomic Fermi gases in a two-dimensional optical lattice: Unusual effects of lattice-continuum mixing
- Polarization Plateau in Atomic Fermi Gas Loaded on Triangular Optical Lattice
- Spectroscopic evidence for engineered hadron formation in repulsive fermionic Hubbard Models
- Topological order in the Haldane model with spin-spin on-site interactions
- Magnetism Localization in Spin-Polarized One-Dimensional Anderson-Hubbard Model
- Phase diagram of imbalanced strongly interacting fermions on a one-dimensional optical lattice
- Ground states of atomic Fermi gases in a two-dimensional optical lattice with and without population imbalance
- Resonant Superfluidity in an Optical Lattice
- Overlaying optical lattices for simulation of complex frustrated antiferromagnets
- Andreev-Bragg reflection from an Amperian superconductor
- Finite temperatures and flat bands: the Hubbard model on three-dimensional Lieb lattices
- Mott insulating phases and magnetism of fermions in a double-well optical lattice
- Solving real time evolution problems by constructing excitation operators
- Sampling Electronic Fock States using Determinant Quantum Monte Carlo
- A universal pairing gap measurement proposal by dynamical excitations in 2D doped attractive Fermi-Hubbard model with spin-orbit coupling
- Monte Carlo study of fermionic trions in a square lattice with harmonic confinement
- On the particle-hole symmetry of the fermionic spinless Hubbard model in
- Many-body effects in a Bose-Fermi mixture
- Double occupancies in confined attractive fermions on optical lattices
- Non-perturbative theoretical description of two atoms in an optical lattice with time-dependent perturbations
- Signatures of Fermion Pairing with Unconventional Symmetry around BCS-BEC Crossover in a Quasi-2D Lattice
- Thermalization in many-fermion quantum systems with one- plus random -body interactions
- Nonadiabatic Dynamics of Ultracold Fermions in Optical Superlattices
- Dipolar Dynamics for Interacting Ultracold Fermions in a Trapped Optical Lattice
- Long-range Ising interactions mediated by fields: probing the renormalisation of sound in crystals of trapped ions
- Magnetisms of spinor alkali and alkaline-earth atoms in optical lattices
- Fractionalization of long-range ordered states in a Falicov-Kimball model
- Radio frequency spectroscopy of the attractive Hubbard model in a trap
- Cooling Fermions in an Optical Lattice by Adiabatic Demagnetization
- Dissipative cooling of spin chains by a bath of dipolar particles
- Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
- Detecting Many-Body-Localization Length with Cold Atoms
- Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
- Ising Antiferromagnet in the 2D Hubbard Model with Mismatched Fermi Surfaces
- Optimized Confinement of Fermions in Two Dimensions
- Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
- EPR pairing dynamics in Hubbard model with resonant
- Emergent interlayer nodal superfluidity of a dipolar fermi gas in bilayer optical lattices
- Dicke superradiance as nondestructive probe for the state of atoms in optical lattices
- Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
- Measurement enhances long-distance Entanglement generation in spin chains with dissipative processes
- Fermionic vs. bosonic two-site Hubbard models with a pair of interacting cold atoms
- d-wave Superfluid with Gapless Edges in a Cold Atom Trap
- Time-of-flight imaging method to observe signatures of antiferromagnetically ordered states of fermionic atoms in an optical lattice
- Generation of vortex dipoles in superfluid Fermi gas in BCS limit
- Isentropic Curves at Magnetic Phase Transitions
- Sudden and slow quenches into the antiferromagnetic phase of ultracold fermions
- Thermodynamic properties of two-component fermionic atoms trapped in a two-dimensional optical lattice
- Interacting heavy fermions in a disordered optical lattice
- Density redistribution effects in fermionic optical lattices
- Using superlattice potentials to probe long-range magnetic correlations in optical lattices
- Polarization-induced phase separation and re-entrant transition of two component-fermions in a one-dimensional lattice
- Interaction-Induced Gradients Across a Confined Fermion Lattice
- Kinetic energy equipartition: a tool to characterize quantum thermalization
- Microscopic theory of the Hubbard interaction in low-dimensional optical lattices
- Exact results for the Hubbard model on bipartite lattices in spatial dimensions : Seven theorems from the full [SU(2)SU(2)U(1)]/ symmetry
- Bloch oscillations in supersolids
- Inducing spin-dependent tunneling to probe magnetic correlations in optical lattices
- Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases
- Disorder in low dimensions: localisation effects in spin glass wires and cold atoms
- Detecting the tunneling rates for strongly interacting fermions on optical lattices
- Analysis of Particle Transfer by Periodic Lattice Modulation for Ultracold Fermionic Atom Systems in Three Dimensional Optical Lattice
- Repulsively-bound exciton-biexciton states in high-spin fermions in optical lattices
- Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model
- Metal-Insulator transition in optical lattice system with site-dependent interactions
- Emergence of Topological Fermi Liquid from a Strongly Correlated Bosonic System in Optical Superlattices
- Novel dynamical excitations and roton-based measurement of Cooper-pair momentum in a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superfluid on optical lattices
- Quantum simulation of the Hubbard model with ultracold fermions in optical lattices
- Heating and Cooling in Adiabatic Mixing process
- Update of Hartree--Fock theory for Hubbard-like models
- DMFT vs Second Order Perturbation Theory for the Trapped 2D Hubbard-Antiferromagnet
- Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices
- Feshbach resonant scattering of three fermions in one-dimensional wells
- Insulating-to-conducting state transition in the bilayer Hubbard model induced by a perpendicular quench field
- Collisional scattering of strongly interacting D-band Feshbach molecules in optical lattices