Ramsey interferometry with ultracold atoms

Abstract

We examine the passage of ultracold two-level atoms through two separated laser fields for the nonresonant case. We show that implications of the atomic quantized motion change dramatically the behavior of the interference fringes compared to the semiclassical description of this optical Ramsey interferometer. Using two-channel recurrence relations we are able to express the double-laser scattering amplitudes by means of the single-laser ones and to give explicit analytical results. When considering slower and slower atoms, the transmission probability of the system changes considerably from an interference behavior to a regime where scattering resonances prevail. This may be understood in terms of different families of trajectories that dominate the overall transmission probability in the weak field or in the strong field limit.

5 figures, 4 pages

References in corpus (3)

• Atomic time-of-arrival measurements with a laser of finite beam width
• Detuning effects in the one-photon mazer
• Single Atom and Two Atom Ramsey Interferometry with Quantized Fields

Cited by in corpus (11)

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• Relation between quantum dwell times and flux-flux correlations
• Quantum fluctuations in the mazer
• Ramsey interferometry with oppositely detuned fields
• Dwell-time distributions in quantum mechanics
• Quantum Interference in Atomic Systems
• Quantum motion effects in an ultracold-atom Mach-Zehnder interferometer
• Detuning effects in the vertical cold-atom micromaser
• Seeking better times: atomic clocks in the generalized Tonks-Girardeau regime
• Low velocity limits of cold atom clocks
• Interaction of a two-level atom with a classical field in the context of Bohmian mechanics