Exact Overlaps in the Lieb-Liniger Model from Coordinate Bethe Ansatz
Statistical Mechanics
2020-08-20 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In the paper arXiv:2002.12065, the authors developed a new method to compute the exact overlap formulas between integrable boundary states and on-shell Bethe states in integrable spin chains. This method utilizes the coordinate Bethe ansatz representation of wave functions and singularity property of the off-shell overlaps. In this paper, we use this new method to derive the formula for overlaps between the Lieb-Liniger Bethe states and the Bose-Einstein condensate (BEC) state. As a simple application this method, we obtained the overlaps between the Lieb-Liniger eigenstates and the free particle states with pair structure.
Keywords
Cite
@article{arxiv.2003.02711,
title = {Exact Overlaps in the Lieb-Liniger Model from Coordinate Bethe Ansatz},
author = {Hui-Huang Chen},
journal= {arXiv preprint arXiv:2003.02711},
year = {2020}
}
Comments
16 pages, no figure. published version