Scattering theory for Floquet-Bloch states
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Abstract
Motivated by recent experimental implementations of artificial gauge fields
for gases of cold atoms, we study the scattering properties of particles that
are subjected to time-periodic Hamiltonians. Making use of Floquet theory, we
focus on translationally invariant situations in which the single-particle
dynamics can be described in terms of spatially extended Floquet-Bloch waves.
We develop a general formalism for the scattering of these Floquet-Bloch waves.
An important role is played by the conservation of Floquet quasi-energy, which
is defined only up to the addition of integer multiples of
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Journal ISSN
1094-1622