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

被引：91

作者：

Imambekov, Adilet ^{[1
]}

Glazman, Leonid I. ^{[1
]}

机构：

[1] Yale Univ, Dept Phys, New Haven, CT 06520 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 20期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.100.206805

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. 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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