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Journal of the Physical Society of Japan

Motion of an Atomic Wave Packet in a Standing-Wave Cavity Field(Atomic and molecular physics)

Young-Tak Chough

Published Nov 15, 2007• 0 citations
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Atom-Field Interaction in a Standing-Wave Cavity

Sun-Hyun Youn, Young-Tak Chough, Kyoungwon An

Journal of the Korean Physical Society•Nov 1, 2000•2 citations
We investigate the single-atom detection system using an optical standing-wave cavity, from the viewpoint of the quantized center-of-mass motion of the atomic wave packet. We show that since the atom-field coupling strength depends upon the overlap integral of the atomic wave packet and the field mode function, the effect of the wave-packet spreading via the momentum exchange process brings about a significant effect in the detection efficiency. We find that, as a result, the detection efficiency is not sensitive to the individual atomic trajectory for reasonably slow atoms. We also address an interesting phenomenon of the atomic wave-packet splitting occurring when an atom passes through a node of the cavity field.
We present an in-depth study on the behavior of an atomic wave packet which is placed in a standing wave cavity prepared in various states of light. We extract a simple classical oscillator model out of the dynamics of the quantum system. We quantitatively resolve the states of the spatially reorganized wave packet by the dressed state spatial probability distribution functions we developed. We also report a novel type of the “quantum collapse and revival” behavior of the Rabi nutation which is originated from the effect of the quantized atomic center-of-mass motion on the atomic internal motion.
The influence of the atomic internal state population on its translational motion in a quantized standing-wave cavity field with spatial periodic structure is investigated for the intensity-dependent coupling case.On the basis of resonance interaction between the atom and the cavity field and with the aid of the atomic-field dressed state,the Schrodinger equations satisfied by the atomic translational motion for the two different atomic dressed internal states are built and their general relation for a spatial periodic cavity field is obtained.And under an appropriate approximation,the state vector of the whole system is derived and allows us to study the interaction between the atomic internal state and its translational dynamics.It is found that the scalar product of the translational motion wave functions in Hilbert space determines the atomic internal state population,as well as,the distortion of the atomic translational motion wave-packet is sensitivity to its initial internal state population for a quantized standing-wave cavity field at coherent state.