Many-body physics in the radio frequency spectrum of lattice bosons

Abstract

We calculate the radio-frequency spectrum of a trapped cloud of cold bosonic atoms in an optical lattice. Using random phase and local density approximations we produce both trap averaged and spatially resolved spectra, identifying simple features in the spectra that reveal information about both superfluidity and correlations. Our approach is exact in the deep Mott limit and in the deep superfluid when the hopping rates for the two internal spin states are equal. It contains final state interactions, obeys the Ward identities (and the associated conservation laws), and satisfies the $f$-sum rule. Motivated by earlier work by Sun, Lannert, and Vishveshwara [Phys. Rev. A \textbf{79}, 043422 (2009)], we also discuss the features which arise in a spin-dependent optical lattice.

6 pages, 4 figures, 13 subfigures

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Cited by in corpus (7)

• Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Spectroscopy of dipolar fermions in 2D pancakes and 3D lattices
• Magnetic phase transition in coherently coupled Bose gases in optical lattices
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
• Radio frequency spectrum of fermions near a narrow Feshbach resonance
• Theoretical Analysis on Spectroscopy of Atomic Bose-Hubbard Systems