Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures

Abstract

The study of ultracold optically trapped atoms has opened new vistas in the physics of correlated quantum systems. Much attention has now turned to mixtures of bosonic and fermionic atoms. A central puzzle is the disagreement between the experimental observation of a reduced bosonic visibility ${\mathcal{V}}_b$, and quantum Monte Carlo (QMC) calculations which show ${\mathcal{V}}_b$ increasing. In this paper, we present QMC simulations which evaluate the density profiles and ${\mathcal{V}}_b$ of mixtures of bosons and fermions in one-dimensional optical lattices. We resolve the discrepancy between theory and experiment by identifying parameter regimes where ${\mathcal{V}}_b$ is reduced, and where it is increased. We present a simple qualitative picture of the different response to the fermion admixture in terms of the superfluid and Mott-insulating domains before and after the fermions are included. Finally, we show that ${\mathcal{V}}_b$ exhibits kinks which are tied to the domain evolution present in the pure case, and also additional structure arising from the formation of boson-fermion molecules, a prediction for future experiments.

4 pages, 6 figures

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• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
• Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
• Finite-Temperature Auxiliary-Field Quantum Monte Carlo for Bose-Fermi Mixtures
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
• Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Quantum Monte Carlo simulation of three-dimensional Bose-Fermi mixtures
• Interaction dependent temperature effects in Bose-Fermi mixtures in optical lattices
• Coherence, Transport, and Chaos in 1D Bose-Hubbard Model: Disorder vs. Stark Potential