Skip to Main content Skip to Navigation
Journal articles

Light scattering in inhomogeneous Tomonaga-Luttinger liquids

Abstract : We derive the dynamical structure factor for an inhomogeneous Tomonaga-Luttinger liquid as can be formed in a confined strongly interacting one-dimensional gas. In view of current experimental progress in the field, we provide a simple analytic expression for the light-scattering cross section, requiring only the knowledge of the density dependence of the ground-state energy, as they can be extracted e.g. from exact or Quantum Monte Carlo techniques, and a Thomas-Fermi description. We apply the result to the case of one-dimensional quantum bosonic gases with dipolar interaction in a harmonic trap, using an energy functional deduced from Quantum Monte Carlo computations. We find an universal scaling behavior peculiar of the Tomonaga-Luttinger liquid, a signature that can be eventually probed by Bragg spectroscopy in experimental realizations of such systems.
Complete list of metadatas
Contributor : Edmond Orignac <>
Submitted on : Thursday, February 9, 2012 - 1:20:45 PM
Last modification on : Thursday, November 5, 2020 - 2:54:06 PM

Links full text




Edmond Orignac, Roberta Citro, Stefania de Palo, Maria-Luisa Chiofalo. Light scattering in inhomogeneous Tomonaga-Luttinger liquids. Physical Review A, American Physical Society, 2012, 85 (1), pp.013634. ⟨10.1103/PhysRevA.85.013634⟩. ⟨ensl-00668225⟩



Record views