Creffield, CharlesSols Lucía, Fernando2023-06-192023-06-192014-08-291050-294710.1103/PhysRevA.90.023636https://hdl.handle.net/20.500.14352/33988©2014 American Physical Society. The authors thank Wolfgang Ketterle, Maciej Lewenstein, Juliette Simonet, and Monika Aidelsburger for stimulating discussions. This research was supported by the Spanish MINECO through Grant No. FIS-2010-21372.We describe a method to generate a synthetic gauge potential for ultracold atoms held in an optical lattice. Our approach uses a time-periodic driving potential based on quickly alternating two Hamiltonians to engineer the appropriate Aharonov-Bohm phases, and permits the simulation of a uniform tunable magnetic field. We explicitly demonstrate that our split-driving scheme reproduces the behavior of a charged quantum particle in a magnetic field over the complete range of field strengths, and obtain the Hofstadter butterfly band structure for the Floquet quasienergies.engjournal articlehttp://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.023636http://journals.aps.org/open access538.9Bose-Einstein condensateNeutral atomsCold atomsFísica de materiales