Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model

Abstract

We have prepared two ultracold fermionic atoms in an isolated double-well potential and obtained full control over the quantum state of this system. In particular, we can independently control the interaction strength between the particles, their tunneling rate between the wells and the tilt of the potential. By introducing repulsive (attractive) interparticle interactions we have realized the two-particle analog of a Mott-insulating (charge-density-wave) state. We have also spectroscopically observed how second-order tunneling affects the energy of the system. This work realizes the first step of a bottom-up approach to deterministically create a single-site addressable realization of a ground-state Fermi-Hubbard system.

13 pages, 10 figures

References in corpus (10)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Repulsively bound atom pairs in an optical lattice
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Cooling a single atom in an optical tweezer to its quantum ground state
• Cooling in strongly correlated optical lattices: prospects and challenges
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Quantum Simulation of the Hubbard Model: The Attractive Route
• High-resolution imaging of ultracold fermions in microscopically tailored optical potentials
• Relaxation dynamics of a Fermi gas in an optical superlattice

Cited by in corpus (31)

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• Producing and storing spin-squeezed states and Greenberger-Horne-Zeilinger states in a one-dimensional optical lattice
• Relating correlation measures: the importance of the energy gap
• Coherent Oscillations in Small Fermi Polaron Systems
• Ultracold few fermionic atoms in needle-shaped double wells: spin chains and resonating spin clusters from microscopic Hamiltonians emulated via antiferromagnetic Heisenberg and t-J models
• Precise measurements on a quantum phase transition in antiferromagnetic spinor Bose-Einstein condensates
• Quantum simulators by design - many-body physics in reconfigurable arrays of tunnel-coupled traps
• NOON States via Quantum Walk of Bound Particles
• Critical Entanglement for the Half-Filled Extended Hubbard Model
• Effective three-body interactions for bosons in a double-well confinement
• Effective many-body parameters for atoms in non-separable Gaussian optical potentials
• Universal upper bounds on the Bose-Einstein condensate and the Hubbard star
• Two-point momentum correlations of few ultracold quasi-one-dimensional trapped fermions: Diffraction patterns
• Two Atoms in a Double Well: An Exact Solution
• Symmetries and boundary conditions with a twist
• Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
• Statistical signatures of states orthogonal to the Fock-state ladder of composite bosons
• Ground-states of spin-1 bosons in asymmetric double-wells
• Interaction-controlled impurity transport in trapped mixtures of ultracold bosons
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Identical Wells, Symmetry Breaking, and the Near-Unitary Limit
• Dynamics of small trapped one-dimensional Fermi gas under oscillating magnetic fields
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Approximating quantum thermodynamic properties using DFT
• One-Dimensional Quantum Systems - From Few to Many Particles
• Bosonic Quantum Dynamics Following Colliding Potential Wells
• Strong parameter renormalization from optimum lattice model orbitals