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Atom interferometers are a useful tool for precision measurements offundamental physical phenomena, ranging from local gravitational field strengthto the atomic fine structure constant. In such experiments, it is desirable toimplement a high momentum transfer "beam-splitter," which may be achieved byinducing quantum resonance in a finite-temperature laser-driven atomic gas. Weuse Monte Carlo simulations to investigate these quantum resonances in theregime where the gas receives laser pulses of finite duration, and demonstratethat an $\epsilon$-classical model for the dynamics of the gas atoms is capableof reproducing quantum resonant behavior for both zero-temperature andfinite-temperature non-interacting gases. We show that this model agrees wellwith the fully quantum treatment of the system over a time-scale set by thechoice of experimental parameters. We also show that this model is capable ofcorrectly treating the time-reversal mechanism necessary for implementing aninterferometer with this physical configuration.

physical review. a/physical review, a

An $\mathbf{\epsilon}$-pseudoclassical model for quantum resonances in a  cold dilute atomic gas periodically driven by finite-duration standing-wave  laser pulses