{ "id": "1111.3666", "version": "v1", "published": "2011-11-15T21:42:15.000Z", "updated": "2011-11-15T21:42:15.000Z", "title": "Critical exponents of the disorder-driven superfluid-insulator transition in one-dimensional Bose-Einstein condensates", "authors": [ "J. C. C. Cestari", "A. Foerster", "M. A. Gusmão", "M. Continentino" ], "comment": "5 pages, 4 figures", "journal": "Phys. Rev. A 84, 055601 (2011)", "doi": "10.1103/PhysRevA.84.055601", "categories": [ "cond-mat.stat-mech", "cond-mat.quant-gas" ], "abstract": "We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for non-interacting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies randomly distributed, and pseudo-disorder due to a potential incommensurate with the lattice, which is usually called the Aubry-Andr\\'e model. A scaling analysis of numerical data for the superfluid fraction for different lattice sizes allows us to determine quantum critical exponents characterizing the disorder-driven superfluid-insulator transition. We also briefly discuss the effect of interactions close to the non-interacting quantum critical point of the Aubry-Andr\\'e model.", "revisions": [ { "version": "v1", "updated": "2011-11-15T21:42:15.000Z" } ], "analyses": { "subjects": [ "67.85.Hj", "64.60.an", "64.70.Tg" ], "keywords": [ "disorder-driven superfluid-insulator transition", "one-dimensional bose-einstein condensates", "superfluid-insulator quantum phase transition driven", "quantum critical exponents characterizing" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2011, "month": "Nov", "volume": 84, "number": 5, "pages": "055601" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvA..84e5601C" } } }