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Physics Letters A

Strong decoherence in quantum systems undergoing collisions

Mayo Miller, Robert Olkiewicz

Published Jul 28, 2011• 4 citations
Publisher
DOI
10.1016/j.physleta.2011.07.042

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A theoretical framework is briefly reviewed that treats the multiple collisions that a quantum system undergoes with particles in its environment. The dynamics is governed by the quantum Lindblad master equation for the density matrix, which can be solved using a Monte Carlo technique. Its classical limit is identified and provides an opportunity to study the role of decoherence in the quantum to classical transition. Applications are discussed related to the dynamics of ions and atoms interacting with solids and gases, and Rydberg wavepackets subject to coloured noise.
We present a detailed theoretical treatment of a three-level $\ensuremath{\Lambda}$ system in a hot atomic vapor interacting with a coupling and a probe field of arbitrary strengths, leading to electromagnetically induced transparency and slow light under the two-photon resonance condition. We take into account all the relevant decoherence processes including collisions. Velocity-changing collisions (VCCs) are modeled in the strong-collision limit effectively, which helps in achieving optical pumping by the coupling beam across the entire Doppler profile. The steady-state expressions for the atomic density-matrix elements are numerically evaluated to yield the experimentally measured response characteristics. The predictions, taking into account a dynamic rate of influx of atoms in the two lower levels of the $\ensuremath{\Lambda}$, are in excellent agreement with the reported experimental results for ${^{4}\text{H}\text{e}}^{\ensuremath{\ast}}$. The role played by the VCC parameter is seen to be distinct from that by the transit time or Raman coherence decay rate.