Quantum trajectories for systems probed by fields in multimode Fock and Schrodinger cat states

ORAL

Abstract

Using Gardiner and Collet's input-output theory we derive system and output field master equations for an arbitrary quantum system probed by a field in a non-classical state of light. Specifically the field states we study are arbitrary combinations (superpositions and / or mixtures) of continuous-mode Fock states or continuous mode-coherent states. We also unravel the master equations for the system state to get the conditional evolution (the stochastic master equation) for homodyne and photon counting measurements.

*JC acknowledges support from National Science Foundation Grant No. PHY-0903953 and PHY-1005540 and Office of Naval Research Grant No. N00014-11-1-008

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Authors

  • Joshua Combes

    • Center for Quantum Information and Control, University of New Mexico, Albuquerque, NM 87131-0001, USA

  • Ben Q. Baragiola

    • Center for Quantum Information and Control, University of New Mexico, Albuquerque, NM 87131-0001, USA

  • Agata M. Branczyk

    • Department of Physics and Centre for Quantum Information and Quantum Control, University of Toronto, Toronto ON M5S 1A7, Canada

  • Robert Cook

    • Center for Quantum Information and Control, University of New Mexico, Albuquerque, NM 87131-0001, USA
    • University of New Mexico

  • John E. Gough

    • Institute for Mathematics and Physics, Aberystwyth University, SY23 3BZ, Wales, United Kingdom

  • Matthew R. James

    • Research School of Engineering, Australian National University, Canberra, ACT 0200, Australia

  • Hendra I. Nurdin

    • Research School of Engineering, Australian National University, Canberra, ACT 0200, Australia