Bukov, Marin GeorgievKolodrubetz, MichaelPolkovnikov, Anatoli2019-06-112019-06-112016-03-21Marin Bukov, Michael Kolodrubetz, Anatoli Polkovnikov. 2016. "Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields." PHYSICAL REVIEW LETTERS, Volume 116, Issue 12, pp. ? - ? (6). https://doi.org/10.1103/PhysRevLett.116.1253010031-90071079-7114https://hdl.handle.net/2144/35965We generalize the Schrieffer-Wolff transformation to periodically driven systems using Floquet theory. The method is applied to the periodically driven, strongly interacting Fermi-Hubbard model, for which we identify two regimes resulting in different effective low-energy Hamiltonians. In the nonresonant regime, we realize an interacting spin model coupled to a static gauge field with a nonzero flux per plaquette. In the resonant regime, where the Hubbard interaction is a multiple of the driving frequency, we derive an effective Hamiltonian featuring doublon association and dissociation processes. The ground state of this Hamiltonian undergoes a phase transition between an ordered phase and a gapless Luttinger liquid phase. One can tune the system between different phases by changing the amplitude of the periodic drive.6 p.en-USScience & technologyPhysical sciencesPhysics, multidisciplinaryPhysicsTriangular latticeOptical latticeMagnetic fieldsUltracold atomsHubbard-modelLocalizationChainArticle10.1103/PhysRevLett.116.1253010000-0002-5549-7400 (Polkovnikov, Anatoli)54841