Abstract
We investigate the Rosen-Zener-St\"uckelberg interferometry of ultracold atoms in a sinusoidal-type periodical modulated, symmetrical double-well potential. Periodical modulation of the trapping potential barrier leads to an analog of light-assisted Rosen-Zener tunneling, with distinct signatures of the energy gap visible in the amount of particles transferred from one well to the other. Time-averaged atomic occupations in one well show nice interference patterns for multiple-period modulation. The condition for constructive interference is given by the requirements satisfied by the St\"uckelberg phase. Both integer and noninteger resonances ranging from $2n$ to $5n$ ($n$ is a positive integer) are predicted at certain modulating amplitudes. In particular, we find that the resonance profiles can change from a Fano-like line shape with weak modulation to a Lorentzian-like line shape with strong modulation. Our theory is generic for many other forms of periodical modulation fields and can be used to realize a time-domain multiple-slit interferometer.
Published Version
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