{ "id": "0907.3411", "version": "v1", "published": "2009-07-20T14:26:55.000Z", "updated": "2009-07-20T14:26:55.000Z", "title": "Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment", "authors": [ "Gabriel Lemarié", "Julien Chabé", "Pascal Szriftgiser", "Jean-Claude Garreau", "Benoît Grémaud", "Dominique Delande" ], "comment": "19 pages, 15 figures, submitted to PRA", "journal": "Phys.Rev.A 80, 4 (2009) 043626", "doi": "10.1103/PhysRevA.80.043626", "categories": [ "quant-ph", "cond-mat.dis-nn", "nlin.CD", "physics.optics" ], "abstract": "Using a cold atomic gas exposed to laser pulses -- a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies -- we study experimentally and theoretically the Anderson metal-insulator transition in three dimensions. Sensitive measurements of the atomic wavefunction and the use of finite-size scaling techniques make it possible to unambiguously demonstrate the existence of a quantum phase transition and to measure its critical exponents. By taking proper account of systematic corrections to one-parameter scaling, we show the universality of the critical exponent $\\nu=1.59\\pm0.01,$ which is found to be equal to the one previously computed for the Anderson model.", "revisions": [ { "version": "v1", "updated": "2009-07-20T14:26:55.000Z" } ], "analyses": { "subjects": [ "03.75.-b", "72.15.Rn", "64.70.Tg", "05.45.Mt" ], "keywords": [ "anderson metal-insulator transition", "atomic matter waves", "experiment", "observation", "chaotic quasiperiodic kicked rotor" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2009, "month": "Oct", "volume": 80, "number": 4, "pages": "043626" }, "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvA..80d3626L" } } }