{ "id": "cond-mat/0008480", "version": "v2", "published": "2000-08-31T22:37:24.000Z", "updated": "2000-08-31T23:24:59.000Z", "title": "Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap", "authors": [ "M. D. Girardeau", "E. M. Wright", "J. M. Triscari" ], "comment": "10 pages, 6 figures, submitted to Phys. Rev. A", "doi": "10.1103/PhysRevA.63.033601", "categories": [ "cond-mat.mes-hall" ], "abstract": "The exact N-particle ground state wave function for a one-dimensional condensate of hard core bosons in a harmonic trap is employed to obtain accurate numerical results for the one-particle density matrix, occupation number distribution of the natural orbitals, and momentum distribution. Our results show that the occupation of the lowest orbital varies as N^{0.59}, in contrast to N^{0.5} for a spatially uniform system, and N for a true BEC.", "revisions": [ { "version": "v2", "updated": "2000-08-31T23:24:59.000Z" } ], "analyses": { "keywords": [ "hard core bosons", "ground state properties", "harmonic trap", "one-dimensional condensate", "n-particle ground state wave function" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }