Dynamical density-density correlations in the one-dimensional Bose gas

Abstract

The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed using a hybrid theoretical/numerical method based on the exact Bethe Ansatz solution, which allows to interpolate continuously between the weakly-coupled Thomas-Fermi and strongly-coupled Tonks-Girardeau regimes. The results should be experimentally accessible with Bragg spectroscopy.

4 pages, 3 figures, published version

References in corpus (23)

• Realization of Bose-Einstein condensates in lower dimensions
• Quantum Inverse Scattering Method and Correlation Functions
• Bragg spectroscopy of a Bose-Einstein condensate
• Regimes of quantum degeneracy in trapped 1D gases
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Exciting Collective Oscillations in a Trapped 1D Gas
• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Motion of a heavy impurity through a Bose-Einstein condensate
• Stability and phase coherence of trapped 1D Bose gases
• Short-Distance Correlation Properties of the Lieb-Liniger System and Momentum Distributions of Trapped One-Dimensional Atomic Gases
• Computation of dynamical correlation functions of Heisenberg chains in a field
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Finite temperature correlations and density profiles of an inhomogeneous interacting 1D Bose gas
• Dynamic structure factor and momentum distribution of a trapped Bose gas
• Correlation functions and momentum distribution of one-dimensional Bose systems
• 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
• Dynamic response of trapped ultracold bosons on optical lattices
• Detecting correlation functions of ultracold atoms through Fourier sampling of time-of-flight images
• Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime
• Dynamic correlation functions in one-dimensional quasi-condensates
• Pseudoparticle-operator description of an interacting Bose gas

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