期刊
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
卷 49, 期 1, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0953-4075/49/1/013001
关键词
optical lattices; ultracold atoms; quantum Floquet theory; multiphoton transitions; spatio-temporal Bloch waves; Floquet engineering
资金
- Deutsche Forschungsgemeinschaft (DFG) [HO 1771/6-2]
A primer on the Floquet theory of periodically time-dependent quantum systems is provided, and it is shown how to apply this framework for computing the quasienergy band structure governing the dynamics of ultracold atoms in driven optical cosine lattices. Such systems are viewed here as spatially and temporally periodic structures living in an extended Hilbert space, giving rise to spatio-temporal Bloch waves whose dispersion relations can be manipulated at will by exploiting ac-Stark shifts and multiphoton resonances. The elements required for numerical calculations are introduced in a tutorial manner, and some example calculations are discussed in detail, thereby illustrating future prospects of Floquet engineering.
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