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Efficient excitation of a two-level atom by a single photon in a propagating mode

2010/10/31 by Yimin Wang, Jiří Minář, Lana Sheridan +1 · 2 citations
Computer Science · Physics and Astronomy · #Atom (system on chip) #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Dipole #Excitation #Excited state #Fock space #Fock state #Photon #Physics #Pulse (music) #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Spontaneous emission #quant-ph

paper · pdf · doi:10.1103/physreva.83.063842

published as Phys. Rev. A 83, 063842 (2011) · 6 pages, 5 figures, 2 tables

arxiv created 2011/06/06 · openalex publication_date 2011/06/28 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

State mapping between atoms and photons, and photon-photon interactions play an important role in scalable quantum information processing. We consider the interaction of a two-level atom with a quantized propagating pulse in free space and study the probability Pe(t) of finding the atom in the excited state at any time t. This probability is expected to depend on (i) the quantum state of the pulse field and (ii) the overlap between the pulse and the dipole pattern of the atomic spontaneous emission. We show that the second effect is captured by a single parameter \ensuremathΛ\ensuremath∈[0,8\ensuremathπ/3], obtained by weighting the dipole pattern with the numerical aperture. Then, Pe(t) can be obtained by solving time-dependent Heisenberg-Langevin equations. We provide detailed solutions for both single-photon Fock state and coherent states and for various temporal shapes of the pulses.

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