Approximate expression for the dynamic structure factor in the Lieb-Liniger model
arXiv:0906.3446 · doi:10.1088/1742-6596/129/1/012051
Abstract
Recently, Imambekov and Glazman [Phys. Rev. Lett. 100, 206805 (2008)] showed that the dynamic structure factor (DSF) of the 1D Bose gas demonstrates power-law behaviour along the limiting dispersion curve of the collective modes and calculated the corresponding exponents exactly. Combining these recent results with a previously obtained strong-coupling expansion we present an interpolation formula for the DSF of the 1D Bose gas. The obtained expression is further consistent with exact low energy exponents from Luttinger liquid theory and shows nice agreement with recent numerical results.
4 pages, 3 figures
References in corpus (12)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Realization of Bose-Einstein condensates in lower dimensions
- Quantum Inverse Scattering Method and Correlation Functions
- Bragg spectroscopy of a Bose-Einstein condensate
- Motion of a heavy impurity through a Bose-Einstein condensate
- Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
- Dynamical density-density correlations in the one-dimensional Bose gas
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Dynamics of excitations in a one-dimensional Bose liquid
- Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
- The Dynamic Structure Factor of the 1D Bose Gas near the Tonks-Girardeau Limit
- Pseudoparticle-operator description of an interacting Bose gas
Cited by in corpus (5)
- Theory of superfluidity and drag force in the one-dimensional Bose gas
- Dynamic and static density-density correlations in the one-dimensional Bose gas: exact results and approximations
- Decay of superfluid currents in the interacting one-dimensional Bose gas
- Density ripples in expanding low-dimensional gases as a probe of correlations
- Strongly interacting one-dimensional bosons in arbitrary-strength optical lattices: from Bose-Hubbard to sine-Gordon and beyond