Time of flight observables and the formation of Mott domains of fermions and bosons on optical lattices

Abstract

We study, using quantum Monte Carlo simulations, the energetics of the formation of Mott domains of fermions and bosons trapped on one-dimensional lattices. We show that, in both cases, the sum of kinetic and interaction energies exhibits minima when Mott domains appear in the trap. In addition, we examine the derivatives of the kinetic and interaction energies, and of their sum, which display clear signatures of the Mott transition. We discuss the relevance of these findings to time-of-flight experiments that could allow the detection of the metal--Mott-insulator transition in confined fermions on optical lattices, and support established results on the superfluid--Mott-insulator transition in confined bosons on optical lattices.

arXiv comment5 pages, 6 figures, published version

References in corpus (20)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Stochastic series expansion method with operator-loop update
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Confinement induced molecules in a 1D Fermi gas
• Phases of the one-dimensional Bose-Hubbard model
• Mott Domains of Bosons Confined on Optical Lattices
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Phase coherence of an atomic Mott insulator
• Production of a Fermi gas of atoms in an optical lattice
• Local quantum criticality in confined fermions on optical lattices
• Collisionally Induced Transport in Periodic Potentials
• Spatial correlations of trapped 1d bosons in an optical lattice
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
• Confinement control by optical lattices
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
• Radio Frequency Selective Addressing of Localized Particles in a Periodic Potential
• Numerical simulations of strongly correlated fermions confined in 1D optical lattices
• Phase coherence, visibility, and the superfluid--Mott-insulator transition on one-dimensional optical lattices

Cited by in corpus (10)

• Many-Body Physics with Ultracold Gases
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Mott transition of fermionic atoms in a three-dimensional optical trap
• State diagrams for harmonically trapped bosons in optical lattices
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
• Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling
• Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
• Critical behavior driven by the confining potential in optical lattices with ultra-cold fermions?
• Extracting the Mott gap from energy measurements in trapped atomic gases