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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Physical Review A, American Physical Society, 2012, 85 (1), pp.013634. 〈10.1103/PhysRevA.85.013634〉
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00668225
Contributeur : Edmond Orignac <>
Soumis le : jeudi 9 février 2012 - 13:20:45
Dernière modification le : jeudi 19 avril 2018 - 14:54:03

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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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