Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-11-16
Phys. Rev. A 85, 013634 (2012)
Physics
Condensed Matter
Quantum Gases
9 pages, RevTeX 4, 3 EPS figures (v2) corrected typos, improved figures
Scientific paper
10.1103/PhysRevA.85.013634
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.
Chiofalo M.-L.
Citro Roberta
de Palo S.
Orignac Edmond
No associations
LandOfFree
Light scattering in inhomogeneous Tomonaga-Luttinger liquids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Light scattering in inhomogeneous Tomonaga-Luttinger liquids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Light scattering in inhomogeneous Tomonaga-Luttinger liquids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-68494