Scattering of two-level atoms by delta lasers: Exactly solvable models in atom optics

Abstract

We study the scattering of two-level atoms at narrow laser fields, modeled by a $\delta$-shape intensity profile. The unique properties of these potentials allow us to give simple analytic solutions for one or two field zones. Several applications are studied: a single $\delta$-laser may serve as a detector model for atom detection and arrival-time measurements, either by means of fluorescence or variations in occupation probabilities. We show that, in principle, this ideal detector can measure the particle density, the quantum mechanical flux, arrival time distributions or local kinetic energy densities. Moreover, two spatially separated $\delta$-lasers are used to investigate quantized-motion effects on Ramsey interferometry.

11 pages, 5 figures

References in corpus (11)

• A measurement-based approach to quantum arrival times
• Time of occurrence observable in quantum mechanics
• Quantum arrival times and operator normalization
• Operator normalized quantum arrival times in the presence of interactions
• Atomic time-of-arrival measurements with a laser of finite beam width
• Solvable three boson model with attractive delta function interactions
• Detuning effects in the one-photon mazer
• Quantum kinetic energy densities: An operational approach
• The attractive nonlinear delta-function potential
• Time of arrival through interacting environments: Tunneling processes
• Optimal atomic detection by control of detuning and spatial dependence of laser intensity

Cited by in corpus (2)

• Time-of-arrival probabilities and quantum measurements: III Decay of unstable states
• Quantum fluctuations in the mazer