Momentum-space atom correlations in a Mott insulator
arXiv:1904.10995 · doi:10.1103/PhysRevX.9.041028
Abstract
We report on the investigation of the three-dimensional single-atom-resolved distributions of bosonic Mott insulators in momentum-space. Firstly, we measure the two-body and three-body correlations deep in the Mott regime, finding a perfectly contrasted bunching whose periodicity reproduces the reciprocal lattice. In addition, we show that the two-body correlation length is inversely proportional to the in-trap size of the Mott state with a pre-factor in agreement with the prediction for an incoherent state occupying a uniformly filled lattice. Our findings indicate that the momentum-space correlations of a Mott insulator at small tunnelling is that of a many-body ground-state with Gaussian statistics. Secondly, in the Mott insulating regime with increasing tunnelling, we extract the spectral weight of the quasi-particles from the momentum density profiles. On approaching the transition towards a superfluid, the momentum spread of the spectral weight is found to decrease as a result of the increased mobility of the quasi-particles in the lattice. While the shapes of the observed spectral weight agree with the ones predicted by perturbative many-body calculations, the fitted mobilities are larger than the theoretical ones. This discrepancy is similar to that previously reported on the time-of-flight visibility.
arXiv comment13 pages, 10 figures
References in corpus (40)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- Cold bosonic atoms in optical lattices
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Light-cone-like spreading of correlations in a quantum many-body system
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Probing many-body states of ultra-cold atoms via noise correlations
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Quantum phases in an optical lattice
- The Mott insulator transition in two dimensions
- Hanbury Brown Twiss effect for ultracold quantum gases
- Correlations and Counting Statistics of an Atom Laser
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- On solving quantum many-body problems by experiment
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Oscillating Superfluidity of Bosons in Optical Lattices
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Phase coherence of an atomic Mott insulator
- Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
- Interference pattern and visibility of a Mott insulator
- Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas
- Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
- Single-particle-sensitive imaging of freely propagating ultracold atoms
- Expansion of a quantum gas released from an optical lattice
- Single atom detection in ultracold quantum gases: a review of current progress
- Ideal n-body correlations with massive particles
- Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
- Momentum-space correlations of a one-dimensional Bose gas
- Solving the quantum many-body problem via correlations measured with a momentum microscope
- Superfluidity of p-wave and s-wave atomic Fermi gases in optical lattices
- Quasiparticle dynamics in a Bose insulator probed by inter-band Bragg spectroscopy
- High-Contrast Interference of Ultracold Fermions
- Single-atom-resolved probing of lattice gases in momentum space
- High accuracy position response calibration method for a micro-channel plate ion detector
- Fast production of Bose-Einstein condensates of metastable Helium
- Momentum distribution of the insulating phases of the extended Bose-Hubbard model
- Characterization of a detector chain using a FPGA-based Time-to-Digital Converter to reconstruct the three-dimensional coordinates of single particles at high flux
- The 2nd order coherence of superradiance from a Bose--Einstein condensate
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- Measuring nonlocal three-body spatial correlations with Rydberg trimers in ultracold quantum gases
- Two-body collisions in the time-of-flight dynamics of lattice Bose superfluids
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- Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap
- Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
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- Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions
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- Tomography of a single-atom-resolved detector in the presence of shot-to-shot number fluctuations