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arXiv · 1111.3803

Light scattering in inhomogeneous Tomonaga-Luttinger liquids

E. Orignac·R. Citro·S. De Palo·M. -L. Chiofalo
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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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E. Orignac, R. Citro, S. De Palo, M. -L. Chiofalo. 2011-12-12. Light scattering in inhomogeneous Tomonaga-Luttinger liquids. https://doi.org/10.1103/physreva.85.013634

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