4.6 Article

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

Journal

PHYSICAL REVIEW A
Volume 81, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.81.033404

Keywords

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Funding

  1. National Science Foundation [PHY-0758104]
  2. Aspen Center for Physics
  3. Division Of Physics
  4. Direct For Mathematical & Physical Scien [0758104, GRANTS:13906697] Funding Source: National Science Foundation

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We calculate the radio-frequency spectrum of a trapped cloud of cold bosonic atoms in an optical lattice. By 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 dilute 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 79, 043422 (2009)], we also discuss the features that arise in a spin-dependent optical lattice.

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