Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice.



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Creffield, Charles E. and Pieplow, G. and Sols Lucía, Fernando and Goldman, N. (2016) Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice. New journal of physics, 18 . ISSN 1367-2630

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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.

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© 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.

Uncontrolled Keywords:Floquet topological insulators; Quantum simulation; Ultracold gases; Neutral atoms; Edge states; Cold atoms; Physics; Phase
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:42009
Deposited On:05 Apr 2017 14:57
Last Modified:06 Apr 2017 07:36

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