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 (3)

• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• 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

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• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Quantum quenches from integrability: the fermionic pairing model
• Correlation functions of the one-dimensional attractive Bose gas
• Spin-charge separation in two-component Bose-gases
• Spatial nonlocal pair correlations in a repulsive 1D Bose gas
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz
• The low-energy excitation spectrum of one-dimensional dipolar quantum gases
• Decay of superfluid currents in the interacting one-dimensional Bose gas
• Quantum vortices in optical lattices
• Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods
• Density ripples in expanding low-dimensional gases as a probe of correlations
• Approximate expression for the dynamic structure factor in the Lieb-Liniger model
• Density-density correlation and interference mechanism for two initially independent Bose-Einstein condensates