Exact Overlaps in the Lieb-Liniger Model from Coordinate Bethe Ansatz

Autor:	Chen, Hui-Huang
Rok vydání:	2020
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1016/j.physletb.2020.135631
Popis:	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. Comment: 16 pages, no figure. published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.02711 Zobrazit plný text záznamu View this record from Arxiv