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

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

2007-11-16

arxiv.org/abs/0711.2697v3

Phys. Rev. Lett. 100, 206805 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

minor misprints in published version fixed

Scientific paper

10.1103/PhysRevLett.100.206805

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.

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