### 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 language | English |
---|---|

Article number | 218 |

Journal | New Journal of Physics |

Volume | 7 |

DOIs | |

Publication status | Published - 2005 Oct 11 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*New Journal of Physics*,

*7*, [218]. https://doi.org/10.1088/1367-2630/7/1/218

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

Research output: Contribution to journal › Article

*New Journal of Physics*, vol. 7, 218. https://doi.org/10.1088/1367-2630/7/1/218

}

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

AN - SCOPUS:26444577556

VL - 7

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 218

ER -