Bragg spectroscopy of trapped one dimensional strongly interacting bosons in optical lattices: Probing the cake-structure

Abstract

We study Bragg spectroscopy of strongly interacting one dimensional bosons loaded in an optical lattice plus an additional parabolic potential. We calculate the dynamic structure factor by using Monte Carlo simulations for the Bose-Hubbard Hamiltonian, exact diagonalizations and the results of a recently introduced effective fermionization (EF) model. We find that, due to the system's inhomogeneity, the excitation spectrum exhibits a multi-branched structure, whose origin is related to the presence of superfluid regions with different densities in the atomic distribution. We thus suggest that Bragg spectroscopy in the linear regime can be used as an experimental tool to unveil the shell structure of alternating Mott insulator and superfluid phases characteristic of trapped bosons.

7 pages, 4 figures

References in corpus (2)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Interference pattern and visibility of a Mott insulator

Cited by in corpus (10)

• Many-Body Physics with Ultracold Gases
• Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Ultracold bosons in lattices with binary disorder
• A variational method based on weighted graph states
• Interacting bosons in an optical lattice: Bose-Einstein condensates and Mott insulator
• Lattice bosons in quartic confinement
• Bragg spectroscopy of a cigar shaped Bose condensate in optical lattices
• The Bose-Hubbard polaron from weak to strong coupling