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Physical Review A

Stationary light pulses in ultracold atomic gases

Kristian Rymann Hansen, Klaus Mølmer

Published Jun 28, 2007• 20 citations
Publisher

Abstract

We present a theoretical treatment of electromagnetically induced transparency and light storage using standing-wave coupling fields in a medium comprised of stationary atoms, such as an ultracold atomic gas or a solid state medium. We show that it is possible to create stationary pulses of light which have a qualitatively different behavior than in the case of a thermal gas medium, offering greater potential for quantum-information-processing applications.

DOI
10.1103/physreva.75.065804

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We present a theoretical treatment of electromagnetically induced transparency and light storage using standing-wave coupling fields in a medium comprised of stationary atoms, such as an ultracold atomic gas or a solid state medium. We show that it is possible to create stationary pulses of light which have a qualitatively different behavior than in the case of a thermal gas medium, offering greater potential for quantum-information-processing applications.
We present a detailed theoretical description of the generation of stationary light pulses by standing-wave electromagnetically induced transparency in media comprised of stationary atoms such as ultracold gasses and solids. We show that, contrary to thermal gas media, the achievable storage times are limited only by the ground state dephasing rate of the atoms, making such media ideally suited for nonlinear optical interactions between stored pulses. Furthermore, we find significant quantitative and qualitative differences between the two types of media, which are important for quantum-information processing schemes involving stationary light pulses.
We present a detailed theoretical description of the generation of stationary light pulses by standing wave electromagnetically induced transparency in media comprised of stationary atoms. We show that, contrary to thermal gas media, the achievable storage times are limited only by the ground state dephasing rate of the atoms, making such media ideally suited for nonlinear optical interactions between stored pulses. Furthermore, we find significant quantitative and qualitative differences between the two types of media, which are important for quantum information processing schemes involving stationary light pulses.
We develop a general scheme for studying the optical response of ultracold atoms driven into a regime of standing-wave electromagnetically induced transparency. We rely on full numerical solutions of the Maxwell-Liouville equations without invoking secular and adiabatic approximations and arbitrary initial state assumptions. These approximations and assumptions can conceal, e.g., significant loss and diffusion responsible for the decay of stationary light pulses in cold atomic samples. The complex decay dynamics of a stationary light pulse is here analyzed in terms of higher-order spin and optical coherences that arise from nonlinear interactions of the stationary light pulse with the two counterpropagating components of a standing-wave driving field. Specific results for stationary light pulses in cold 87Rb^{87}\mathrm{Rb}87Rb atoms have been discussed for temperature regimes where the residual Doppler broadening is negligible.
A number of experiments have been performed on light slowing and stopping in the electromagnetically induced transparency (EIT) media of hot atomic gases where the Doppler-shift may add detunings to the field frequencies in an inhomogeneous fashion. We provide here a theoretical analysis as to the effect of such a Doppler-broadened environment on the dynamics of the system in comparison to a cold atomic medium. We will show that one of the most critical factors in the formation of a stationary light pulse is the enhancement of the excited-state decay rate caused by the collisions between the atoms of the medium and the molecules of the buffer gas.