Landau-Zener transitions in qubits controlled by electromagnetic fields

  • We investigate the influence of a dipole interaction with a classical radiation field on a qubit during a continuous change of a control parameter. In particular, we explore the non-adiabatic transitions that occur when the qubit is swept with linear speed through resonances with the time-dependent interaction. Two classical problems come together in this model: the Landau-Zener and the Rabi problem. The probability of Landau-Zener transitions now depends sensitively on the amplitude, the frequency and the phase of the Rabi interaction. The influence of the static phase turns out to be particularly strong, since this parameter controls the time-reversal symmetry of the Hamiltonian. In the limits of large and small frequencies, analytical results obtained within a rotating-wave approximation compare favourably with a numerically exact solution. Some physical realizations of the model are discussed, both in microwave optics and in magnetic systems.

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Author:Martijn Wubs, Keiji Saito, Sigmund KohlerORCiDGND, Yosuke Kayanuma, Peter HänggiORCiDGND
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Year of first Publication:2005
Publishing Institution:Universität Augsburg
Release Date:2006/09/01
Tag:Landau-Zener transitions; qubits; electromagnetic fields; Rabi problem
GND-Keyword:Qubit; Elektromagnetisches Feld; Zener-Effekt
Source:erschienen in: New J . Phys. 7, 218 (2005); doi:10.1088/1367-2630/7/1/218; URL:
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik