The Riccati equation bridges the two probability amplitudes in Landau-Zener transitions and pinpoints why the Markov approximation succeeds for one amplitude but fails for the other.
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The work shows that moderate violation of the short-pulse limit in δ-kicked rotor atom interferometers improves sensitivity, with simple analytical relations predicting optimal pulse duration.
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Hidden facts in Landau-Zener transitions revealed by the Riccati Equation
The Riccati equation bridges the two probability amplitudes in Landau-Zener transitions and pinpoints why the Markov approximation succeeds for one amplitude but fails for the other.
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Atom interferometry using $\delta$-kicked and finite duration pulse-sequences
The work shows that moderate violation of the short-pulse limit in δ-kicked rotor atom interferometers improves sensitivity, with simple analytical relations predicting optimal pulse duration.