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Exact Overlaps in the Lieb-Liniger Model from Coordinate Bethe Ansatz (2003.02711v5)
Published 5 Mar 2020 in cond-mat.stat-mech, hep-th, math-ph, math.MP, and nlin.SI
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.