Landau-Zener-Stueckelberg effect in a model of interacting tunneling systems

D. A. Garanin
Phys. Rev. B 68, 014414 – Published 11 July 2003
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Abstract

The Landau-Zener-Stueckelberg (LZS) effect in a model system of interacting tunneling particles is studied numerically and analytically. Each of N tunneling particles interacts with each of the others with the same coupling J. This problem maps onto that of the LZS effect for a large spin S=N/2. The mean-field limit N corresponds to the classical limit S for the effective spin. It is shown that the ferromagnetic coupling J>0 tends to suppress the LZS transitions. For N there is a critical value of J above which the staying probability P does not go to zero in the slow sweep limit, unlike the standard LZS effect. For J<0 LZS transitions are boosted and P=0 for a set of finite values of the sweep rate for N. Various limiting cases such as strong and weak interaction, slow and fast sweep are considered analytically. It is shown that the mean-field approach works well for arbitrary N if the interaction J is weak.

  • Received 5 February 2003

DOI:https://doi.org/10.1103/PhysRevB.68.014414

©2003 American Physical Society

Authors & Affiliations

D. A. Garanin

  • Institut für Physik, Johannes-Gutenberg-Universität, D-55099 Mainz, Germany

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Issue

Vol. 68, Iss. 1 — 1 July 2003

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