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On Landau–Zener Transitions for Dephasing Lindbladians

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Abstract

We consider a driven open system whose evolution is described by a Lindbladian. The Lindbladian is assumed to be dephasing and its Hamiltonian part to be given by the Landau–Zener Hamiltonian. We derive a formula for the transition probability which, unlike previous results, extends the Landau–Zener formula to open systems.

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Authors and Affiliations

  1. 980 Ohlone Ave., Albany, CA , 94706, USA

    Martin Fraas

  2. Theoretische Physik, ETH Zurich, 8093, Zurich, Switzerland

    Lisa Hänggli

Authors
  1. Martin Fraas
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  2. Lisa Hänggli
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Correspondence to Martin Fraas.

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Communicated by Claude Alain Pillet.

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Fraas, M., Hänggli, L. On Landau–Zener Transitions for Dephasing Lindbladians. Ann. Henri Poincaré 18, 2447–2465 (2017). https://doi.org/10.1007/s00023-017-0567-0

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  • DOI: https://doi.org/10.1007/s00023-017-0567-0