Nonadiabatic Transitions in Adiabatic Rapid Passage

POSTER

Abstract

Optical forces much larger than the ordinary radiative force can be achieved on a two-level atom by multiple repetitions of adiabatic rapid passage sweeps with counterpropagating light beams\footnote{T. Lu, X. Miao, and H. Metcalf, Phys., Rev. {\bf A 71} 061405(R) (2005)}. Chirped light pulses drive the atom-laser system up a ladder of dressed state energy sheets on sequential trajectories, thereby decreasing the atomic kinetic energy. Nonadiabatic transitions between the energy sheets must be avoided for this process to be effective. We have calculated the nonadiabatic transition probability for various chirped light pulses numerically. These results were compared to the first Demkov-Kunike model\footnote{Yu. Demkov and M. Kunike, Vestn. Leningr. Univ. Fis. Khim., {\bf 16}, 39 (1969); K.-A. Suominen and B. Garraway, Phys. Rev. {\bf A45}, 374 (1992)} and the well-known Landau-Zener model. In addition, an analytical form of the nonadiabatic transition probability has been found for linearly chirped pulses and an approximate form for generic symmetric finite-time pulses has been found for the entire parameter space using the technique of unitary integration. From this, the asymptotic transition probability in the adiabatic limit was derived.

Authors

  • Student Workshop

    Physics, Stony Brook University, NY 11794-3800 USA, Physics Department, Western Michigan University, Kalamazoo, MI, 49008, USA, Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA, University of Pittsburgh, Pittsburgh, PA 15260, USA, R. Bo\v{s}kovi\'{c} Institute, Zagreb, Croatia, Bose Institute, Kolkata, India, U. Wisconsin, Argonne National Laboratory, U. Kentucky, Kansas State University, Rice University, Oak Ridge National Laboratory, University of Tennessee, Vienna University of Technology, University of Tennessee, Vienna University of Technology, University of North Alabama, Florence, AL, University of Connecticut, LANL, Auburn University, Voronezh State University, Russia, Oak Ridge National Laboratory, Rollins College, ATOMKI, Debrecen, GANIL, Caen, Stony Brook University, NY 11794-3800 USA, Hefei National Lab \& Dept of Chemical physics, Univ of Sci \& Tech of China, Dept of Earth \& Environ Sci, Univ of Illinois at Chicago, EFI \& Dept of Geophys. Sci., UofC, Chem Div, ANL, Phys Div, ANL, Phys Div, Argonne National Lab (ANL) \& Enrico Fermi Institute (EFI), Univ of Chicago (UofC), Department of Physics, University of Turku, 20014 Turku, Finland, Clarendon Laboratory, Oxford, SNL, Univ. Paris Sud, Orsay

  • Student Workshop

    Physics, Stony Brook University, NY 11794-3800 USA, Physics Department, Western Michigan University, Kalamazoo, MI, 49008, USA, Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA, University of Pittsburgh, Pittsburgh, PA 15260, USA, R. Bo\v{s}kovi\'{c} Institute, Zagreb, Croatia, Bose Institute, Kolkata, India, U. Wisconsin, Argonne National Laboratory, U. Kentucky, Kansas State University, Rice University, Oak Ridge National Laboratory, University of Tennessee, Vienna University of Technology, University of Tennessee, Vienna University of Technology, University of North Alabama, Florence, AL, University of Connecticut, LANL, Auburn University, Voronezh State University, Russia, Oak Ridge National Laboratory, Rollins College, ATOMKI, Debrecen, GANIL, Caen, Stony Brook University, NY 11794-3800 USA, Hefei National Lab \& Dept of Chemical physics, Univ of Sci \& Tech of China, Dept of Earth \& Environ Sci, Univ of Illinois at Chicago, EFI \& Dept of Geophys. Sci., UofC, Chem Div, ANL, Phys Div, ANL, Phys Div, Argonne National Lab (ANL) \& Enrico Fermi Institute (EFI), Univ of Chicago (UofC), Department of Physics, University of Turku, 20014 Turku, Finland, Clarendon Laboratory, Oxford, SNL, Univ. Paris Sud, Orsay

  • Student Workshop

    Physics, Stony Brook University, NY 11794-3800 USA, Physics Department, Western Michigan University, Kalamazoo, MI, 49008, USA, Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA, University of Pittsburgh, Pittsburgh, PA 15260, USA, R. Bo\v{s}kovi\'{c} Institute, Zagreb, Croatia, Bose Institute, Kolkata, India, U. Wisconsin, Argonne National Laboratory, U. Kentucky, Kansas State University, Rice University, Oak Ridge National Laboratory, University of Tennessee, Vienna University of Technology, University of Tennessee, Vienna University of Technology, University of North Alabama, Florence, AL, University of Connecticut, LANL, Auburn University, Voronezh State University, Russia, Oak Ridge National Laboratory, Rollins College, ATOMKI, Debrecen, GANIL, Caen, Stony Brook University, NY 11794-3800 USA, Hefei National Lab \& Dept of Chemical physics, Univ of Sci \& Tech of China, Dept of Earth \& Environ Sci, Univ of Illinois at Chicago, EFI \& Dept of Geophys. Sci., UofC, Chem Div, ANL, Phys Div, ANL, Phys Div, Argonne National Lab (ANL) \& Enrico Fermi Institute (EFI), Univ of Chicago (UofC), Department of Physics, University of Turku, 20014 Turku, Finland, Clarendon Laboratory, Oxford, SNL, Univ. Paris Sud, Orsay