Landau-Zener transitions in qubits controlled by electromagnetic fields

Martijn Wubs, Keiji Saitou, Sigmund Kohler, Yosuke Kayanuma, Peter Hänggi

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

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 classic problems come together in this model: the Landau-Zener (LZ) and the Rabi problem. The probability of LZ 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. We discuss physical realizations in microwave optics, quantum dots and molecular nanomagnets.

Original languageEnglish
Article number218
JournalNew Journal of Physics
Volume7
DOIs
Publication statusPublished - 2005 Oct 11
Externally publishedYes

Fingerprint

electromagnetic fields
interactions
radiation distribution
quantum dots
optics
dipoles
microwaves
symmetry
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Landau-Zener transitions in qubits controlled by electromagnetic fields. / Wubs, Martijn; Saitou, Keiji; Kohler, Sigmund; Kayanuma, Yosuke; Hänggi, Peter.

In: New Journal of Physics, Vol. 7, 218, 11.10.2005.

Research output: Contribution to journalArticle

Wubs, Martijn ; Saitou, Keiji ; Kohler, Sigmund ; Kayanuma, Yosuke ; Hänggi, Peter. / Landau-Zener transitions in qubits controlled by electromagnetic fields. In: New Journal of Physics. 2005 ; Vol. 7.
@article{ba483fb02b3d4c2f974ae3998dfa281a,
title = "Landau-Zener transitions in qubits controlled by electromagnetic fields",
abstract = "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 classic problems come together in this model: the Landau-Zener (LZ) and the Rabi problem. The probability of LZ 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. We discuss physical realizations in microwave optics, quantum dots and molecular nanomagnets.",
author = "Martijn Wubs and Keiji Saitou and Sigmund Kohler and Yosuke Kayanuma and Peter H{\"a}nggi",
year = "2005",
month = "10",
day = "11",
doi = "10.1088/1367-2630/7/1/218",
language = "English",
volume = "7",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Landau-Zener transitions in qubits controlled by electromagnetic fields

AU - Wubs, Martijn

AU - Saitou, Keiji

AU - Kohler, Sigmund

AU - Kayanuma, Yosuke

AU - Hänggi, Peter

PY - 2005/10/11

Y1 - 2005/10/11

N2 - 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 classic problems come together in this model: the Landau-Zener (LZ) and the Rabi problem. The probability of LZ 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. We discuss physical realizations in microwave optics, quantum dots and molecular nanomagnets.

AB - 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 classic problems come together in this model: the Landau-Zener (LZ) and the Rabi problem. The probability of LZ 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. We discuss physical realizations in microwave optics, quantum dots and molecular nanomagnets.

UR - http://www.scopus.com/inward/record.url?scp=26444577556&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=26444577556&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/7/1/218

DO - 10.1088/1367-2630/7/1/218

M3 - Article

VL - 7

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 218

ER -