RT Journal Article T1 Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice. A1 Creffield, Charles E. A1 Pieplow, G. A1 Sols Lucía, Fernando A1 Goldman, N. AB Shaking a lattice system, by modulating the location of its sites periodically in time, is a powerful method to create effective magnetic fields in engineered quantum systems, such as cold gases trapped in optical lattices. However, such schemes are typically associated with space-dependent effective masses (tunneling amplitudes) and non-uniform flux patterns. In this work we investigate this phenomenon theoretically, by computing the effective Hamiltonians and quasienergy spectra associated with several kinds of lattice-shaking protocols. A detailed comparison with a method based on moving lattices, which are added on top of a main static optical lattice, is provided. This study allows the identification of novel shaking schemes, which simultaneously provide uniform effective mass and magnetic flux, with direct implications for cold-atom experiments and photonics. PB IOP Publishing SN 1367-2630 YR 2016 FD 2016-09-06 LK https://hdl.handle.net/20.500.14352/17703 UL https://hdl.handle.net/20.500.14352/17703 LA eng NO © 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.This work has been supported by Spain’s MINECO through Grant No. FIS2013-41716-P. FS acknowledges the support of the Real Colegio Complutense at Harvard and the MIT-Harvard Center for Ultracold Atoms. Research at ICFO has been supported by MINECO (Severo Ochoa grant SEV-2015-0522 and FOQUS FIS2013- 46768), Catalan AGAUR SGR 874, and Fundació Cellex. NG acknowledges discussions with A Spracklen and S Mukherjee; he was supported by the FRS-FNRS Belgium and by the BSPO under PAI Project No. P7/18 DYGEST. NO Ministerio de Economía y Competitividad (MINECO) NO Real Colegio Complutense at Harvard NO MIT-Harvard Center for Ultracold Atoms NO AGAUR SGR 874 NO Fundació Cellex NO FRS-FNRS Belgium NO BSPO DS Docta Complutense RD 2 may 2024