Transition times in the Landau-Zener model

N. V. Vitanov
Phys. Rev. A 59, 988 – Published 1 February 1999
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Abstract

This paper presents analytic formulas for various transition times in the Landau-Zener model. Considerable differences are found between the transition times in the diabatic and adiabatic bases, and between the jump time (the time for which the transition probability rises to the region of its asymptotic value) and the relaxation time (the characteristic damping time of the oscillations which appear in the transition probability after the crossing). These transition times have been calculated by using the exact values of the transition probabilities and their derivatives at the crossing point and approximations to the time evolutions of the transition probabilities in the diabatic basis, derived earlier [N. V. Vitanov and B. M. Garraway, Phys. Rev. A 53, 4288 (1996)], and similar results in the adiabatic basis, derived in the present paper.

  • Received 2 September 1998

DOI:https://doi.org/10.1103/PhysRevA.59.988

©1999 American Physical Society

Authors & Affiliations

N. V. Vitanov*

  • Helsinki Institute of Physics, P.O. Box 9, FIN-00014 University of Helsinki, Finland

  • *Electronic address: vitanov@rock.helsinki.fi

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Vol. 59, Iss. 2 — February 1999

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