{ "id": "2003.02711", "version": "v1", "published": "2020-03-05T15:24:29.000Z", "updated": "2020-03-05T15:24:29.000Z", "title": "Exact Overlap in Lieb-Liniger Model from Coordinate Bethe Ansatz", "authors": [ "Hui-Huang Chen" ], "comment": "9 pages, no figure", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "In paper arXiv:2002.12065, the author developed a new method to compute the exact overlap formula 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 overlap between the Lieb-Liniger Bethe states and the Bose-Einstein condensate (BEC) state. Our formula coincides with earlier result.", "revisions": [ { "version": "v1", "updated": "2020-03-05T15:24:29.000Z" } ], "analyses": { "keywords": [ "lieb-liniger model", "coordinate bethe ansatz representation", "on-shell bethe states", "exact overlap formula", "lieb-liniger bethe states" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }