{ "id": "cond-mat/0509721", "version": "v3", "published": "2005-09-28T09:42:15.000Z", "updated": "2006-01-02T09:57:35.000Z", "title": "Continuous unitary transformations in two-level boson systems", "authors": [ "S. Dusuel", "J. Vidal", "J. M. Arias", "J. Dukelsky", "J. E. Garcia-Ramos" ], "comment": "27 pages, 16 figures, published version", "journal": "Phys. Rev. C 72, 064332 (2005)", "doi": "10.1103/PhysRevC.72.064332", "categories": [ "cond-mat.stat-mech", "nucl-th", "quant-ph" ], "abstract": "Two-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with $O(2L+1)$ symmetry for large number of bosons is worked out. Analytical results beyond the simple mean-field treatment are deduced by using the continuous unitary transformations technique. In this scheme, a 1/N expansion for different observables is proposed and allows one to compute the finite-size scaling exponents at the critical point. Analytical and numerical results are compared and reveal the power of the present approach to compute the finite-size corrections in such a context.", "revisions": [ { "version": "v3", "updated": "2006-01-02T09:57:35.000Z" } ], "analyses": { "subjects": [ "21.60.Fw", "21.10.Re", "05.10.Cc", "75.40.Cx" ], "keywords": [ "quantum phase transition", "simple mean-field treatment", "continuous unitary transformations technique", "large number", "two-level boson systems displaying" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "inspire": 693728 } } }