Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization

Haas, M; Jentschura, U D; Keitel, C H; Kolachevsky, N; Herrmann, M; Fendel, P; Fischer, M; Udem, Th; Holzwarth, R; Haensch, T W; Scully, M O; Agarwal, G S

doi:10.1103/PHYSREVA.73.0

Title: Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization

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Abstract

One of the dominant systematic effects that shift resonance lines in high-precision measurements of two-photon transitions is the dynamic (ac) Stark shift. For suitable laser frequencies, the ac Stark shift acquires an imaginary part which corresponds to the rate of resonant one-photon ionization of electrons into a continuum state. At the current level of spectroscopic accuracy, the underlying time-dependent quantum dynamics governing the atomic two-photon excitation process must be well understood, and related considerations are the subject of the present paper. In order to illustrate the basic mechanisms in the transient regime, we investigate an analytically solvable model scenario for the population dynamics in the density matrix formalism and describe in detail how to generalize the corresponding equations of motion for individual experimental use. We also calculate the dynamic Stark shift for two-photon S-S and S-D transitions in bound two-body Coulomb systems and the corresponding two-photon transition matrix elements. In particular, we investigate transitions for which the 1S ground state or alternatively the metastable 2S state acts as the lower-energy state, and for which states with n{<=}20 represent the upper states. Relativistic and radiative corrections to the excitation dynamics, and the corresponding limitations to the accuracy of the measurements, aremore »« less

Authors:

Haas, M; Jentschura, U D; Keitel, C H; Kolachevsky, N; Herrmann, M; Fendel, P; Fischer, M; Udem, Th; Holzwarth, R; Haensch, T W; Scully, M O; Agarwal, G S ^[1]

Max-Planck-Institut fuer Kernphysik, Saupfercheckweg 1, 69117 Heidelberg (Germany)

Publication Date:: Mon May 15 00:00:00 EDT 2006

OSTI Identifier:: 20787246

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 73; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.73.052501; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; ACCURACY; DENSITY MATRIX; ELECTRONS; EQUATIONS OF MOTION; EXCITATION; GROUND STATES; LASER RADIATION; MATRIX ELEMENTS; MULTI-PHOTON PROCESSES; PHOTOIONIZATION; PHOTON-ATOM COLLISIONS; PHOTONS; QUANTUM EFFICIENCY; RADIATIVE CORRECTIONS; RELATIVISTIC RANGE; STARK EFFECT; TIME DEPENDENCE; TRANSIENTS; TWO-BODY PROBLEM

Citation Formats


                    Haas, M, Jentschura, U D, Keitel, C H, Kolachevsky, N, Herrmann, M, Fendel, P, Fischer, M, Udem, Th, Holzwarth, R, Haensch, T W, Scully, M O, Agarwal, G S, Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Strasse 1, 85748 Garching, Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843-4242, and Physics Research Laboratory, Nevrangpura, Ahmedabad-380 009. Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization.  United States: N. p., 2006. 
        Web.  doi:10.1103/PHYSREVA.73.0.

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                    Haas, M, Jentschura, U D, Keitel, C H, Kolachevsky, N, Herrmann, M, Fendel, P, Fischer, M, Udem, Th, Holzwarth, R, Haensch, T W, Scully, M O, Agarwal, G S, Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Strasse 1, 85748 Garching, Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843-4242, & Physics Research Laboratory, Nevrangpura, Ahmedabad-380 009. Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization.  United States.  https://doi.org/10.1103/PHYSREVA.73.0

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                    Haas, M, Jentschura, U D, Keitel, C H, Kolachevsky, N, Herrmann, M, Fendel, P, Fischer, M, Udem, Th, Holzwarth, R, Haensch, T W, Scully, M O, Agarwal, G S, Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Strasse 1, 85748 Garching, Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843-4242, and Physics Research Laboratory, Nevrangpura, Ahmedabad-380 009. 2006.  
        "Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization".  United States.  https://doi.org/10.1103/PHYSREVA.73.0.

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@article{osti_20787246,

  title        = {Two-photon excitation dynamics in bound two-body Coulomb systems including ac Stark shift and ionization},

  author       = {Haas, M and Jentschura, U D and Keitel, C H and Kolachevsky, N and Herrmann, M and Fendel, P and Fischer, M and Udem, Th and Holzwarth, R and Haensch, T W and Scully, M O and Agarwal, G S and Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Strasse 1, 85748 Garching and Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843-4242 and Physics Research Laboratory, Nevrangpura, Ahmedabad-380 009},

  abstractNote = {One of the dominant systematic effects that shift resonance lines in high-precision measurements of two-photon transitions is the dynamic (ac) Stark shift. For suitable laser frequencies, the ac Stark shift acquires an imaginary part which corresponds to the rate of resonant one-photon ionization of electrons into a continuum state. At the current level of spectroscopic accuracy, the underlying time-dependent quantum dynamics governing the atomic two-photon excitation process must be well understood, and related considerations are the subject of the present paper. In order to illustrate the basic mechanisms in the transient regime, we investigate an analytically solvable model scenario for the population dynamics in the density matrix formalism and describe in detail how to generalize the corresponding equations of motion for individual experimental use. We also calculate the dynamic Stark shift for two-photon S-S and S-D transitions in bound two-body Coulomb systems and the corresponding two-photon transition matrix elements. In particular, we investigate transitions for which the 1S ground state or alternatively the metastable 2S state acts as the lower-energy state, and for which states with n{<=}20 represent the upper states. Relativistic and radiative corrections to the excitation dynamics, and the corresponding limitations to the accuracy of the measurements, are briefly discussed. Our considerations suggest the general feasibility of a detection mechanism, offering high quantum efficiency, based on two-step three-photon resonant ionization spectroscopy, for large classes of experimentally relevant two-photon transitions in two-body Coulomb systems.},

  doi          = {10.1103/PHYSREVA.73.0},

  url          = {https://www.osti.gov/biblio/20787246},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 5,

  volume       = 73,

  place        = {United States},

  year         = {Mon May 15 00:00:00 EDT 2006},

  month        = {Mon May 15 00:00:00 EDT 2006}

}

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