Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas

Abstract

The spectral function and dynamic structure factor of bosons interacting by contact repulsion and confined to one dimension exhibit power-law singularities along the dispersion curves of the collective modes. We find the corresponding exponents exactly, by relating them to the known Bethe ansatz solution of the Lieb-Liniger model. The found exponents vary considerably with the interaction strength and momentum. Remarkably, the Luttinger liquid theory predictions for the exponents fail even at low energies, once the immediate vicinities of the edges are considered.

minor misprints in published version fixed

References in corpus (4)

• Bosonizing one-dimensional cold atomic gases
• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Measuring the one-particle excitations of ultracold fermionic atoms by stimulated Raman spectroscopy
• Threshold singularities in the dynamic response of gapless integrable models

Cited by in corpus (7)

• Universal theory of nonlinear Luttinger liquids
• Spectral function of spinless fermions on a one-dimensional lattice
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• Decay of superfluid currents in the interacting one-dimensional Bose gas
• Universal dephasing in a chiral 1D interacting fermion system
• Approximate expression for the dynamic structure factor in the Lieb-Liniger model
• Density ripples in expanding low-dimensional gases as a probe of correlations