2007/10/31 by Alexey V. Gorshkov, Tommaso Calarco, Mikhail D. Lukin +2 · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Bandwidth (computing) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Limit (mathematics) #Mathematical analysis #Mathematical optimization #Mathematics #Optics #Optimal control #Photon #Physics #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.1103/physreva.77.043806
published as Phys. Rev. A 77, 043806 (2008) · 16 pages, 7 figures. V2: As published in Phys. Rev. A. Moved most of the math to appendices or removed altogether. Switched order of Sections II and III. Shortened abstract. Added references
openalex publication_date 2008/04/04 · arxiv created 2008/04/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We use the numerical gradient ascent method from optimal control theory to extend efficient photon storage in \ensuremathΛ-type media to previously inaccessible regimes and to provide simple intuitive explanations for our optimization techniques. In particular, by using gradient ascent to shape classical control pulses used to mediate photon storage, we open up the possibility of high efficiency photon storage in the nonadiabatic limit, in which analytical solutions to the equations of motion do not exist. This control shaping technique enables an order-of-magnitude increase in the bandwidth of the memory. We also demonstrate that the often discussed connection between time reversal and optimality in photon storage follows naturally from gradient ascent. Finally, we discuss the optimization of controlled reversible inhomogeneous broadening.