6533b7d8fe1ef96bd126afa2
RESEARCH PRODUCT
Light scattering in inhomogeneous Tomonaga-Luttinger liquids
Maria Luisa ChiofaloS. De PaloEdmond OrignacRoberta Citrosubject
PhysicsCondensed Matter::Quantum GasesField (physics)[PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]Quantum Monte CarloBragg spectroscopyFOS: Physical sciencestrapping potentialPACS: 67.85.-d 71.10.Pm 67.10.Hk01 natural sciencesAtomic and Molecular Physics and OpticsLight scattering010305 fluids & plasmasTomonaga-Lutttinger liquidCross section (physics)Quantum Gases (cond-mat.quant-gas)Quantum mechanics0103 physical sciences010306 general physicsStructure factorCondensed Matter - Quantum GasesScalingQuantumEnergy functionaldescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-01-25 |