Fractional photon-assisted tunneling in an optical superlattice: a leading order effect
msra(2011)
摘要
Fractional photon-assisted tunneling is investigated both analytically and
numerically for few interacting ultra-cold atoms in the double-wells of an
optical superlattice. This could be realized experimentally by adding periodic
shaking to an existing experimental setup [Phys. Rev. Lett. 101, 090404
(2008)]. In order to understand the physics of the photon-assisted tunneling,
an effective model based on the rotating wave approximation is introduced. The
validity of this effective approach is tested for wide parameter ranges which
are accessible to experiments in double-well lattices. The effective model goes
well beyond previous perturbation theory approaches and is useful to
investigate in particular the fractional photon-assisted tunneling resonances.
Analytic results on the level of the experimentally realizable two-particle
quantum dynamics show very good agreement with the numerical solution of the
time-dependent Schrodinger equation. Far from being a small effect, both the
one-half-photon and the one-third-photon resonance are shown to be leading
order effects.
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关键词
ultra-cold atoms,double-well lattice,fractional photon-assisted tunneling,superlattices,rotating wave approximation,perturbation theory,quantum dynamics,time dependent schrodinger equation
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