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.
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Contributor : Edmond Orignac <>
Submitted on : Thursday, February 9, 2012 - 1:20:45 PM
Last modification on : Thursday, April 19, 2018 - 2:54:03 PM

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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⟩

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