{ "id": "cond-mat/0501023", "version": "v1", "published": "2005-01-03T16:37:16.000Z", "updated": "2005-01-03T16:37:16.000Z", "title": "High-order Harmonic Generation and Dynamic Localization in a driven two-level system, a non-perturbative solution using the Floquet-Green formalism", "authors": [ "D. F. Martinez" ], "categories": [ "cond-mat.mes-hall", "cond-mat.other", "physics.atom-ph", "quant-ph" ], "abstract": "We apply the Floquet-Green operator formalism to the case of a harmonically-driven two-level system. We derive exact expressions for the quasi-energies and the components of the Floquet eigenstates with the use of continued fractions. We study the avoided crossings structure of the quasi-energies as a function of the strength of the driving field and give an interpretation in terms of resonant multi-photon processes. From the Floquet eigenstates we obtain the time-evolution operator. Using this operator we study Dynamic Localization and High-order Harmonic Generation in the non-perturbative regime.", "revisions": [ { "version": "v1", "updated": "2005-01-03T16:37:16.000Z" } ], "analyses": { "keywords": [ "high-order harmonic generation", "driven two-level system", "floquet-green formalism", "non-perturbative solution", "floquet eigenstates" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/0305-4470/38/46/006", "journal": "Journal of Physics A Mathematical General", "year": 2005, "month": "Nov", "volume": 38, "number": 46, "pages": 9979 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005JPhA...38.9979M" } } }