### Abstract

We study the effect of noise on the tunneling process of the magnetization in a sweeping field from the viewpoint of the nonadiabatic transition. The tunneling probability depends on the properties of the noise, e.g. the direction, the amplitude, and the relaxation time of the autocorrelation function. We investigate the tunneling probability in the presence of noise by solving the time-dependent Schrödinger equation numerically. We estimate the effective tunneling gap making use of the Landau-Zener-Stückelberg (LZS) formula. The dependence of the gap on the sweeping velocity reproduces the corresponding experimental data qualitatively. The estimated gap has no velocity dependence for a fast sweeping field and this gap seems to give the true gap. However, we show that a correction for the estimated energy gap is necessary and we propose a correction formula.

Original language | English |
---|---|

Article number | 014403 |

Pages (from-to) | 144031-144037 |

Number of pages | 7 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 65 |

Issue number | 1 |

Publication status | Published - 2002 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*65*(1), 144031-144037. [014403].

**Noise effect on the nonadiabatic transition and correction to the tunneling energy gap estimated by the Landau-Zener-Stückelberg formula.** / Nishino, Masamichi; Saitou, Keiji; Miyashita, Seiji.

Research output: Contribution to journal › Article

*Physical Review B - Condensed Matter and Materials Physics*, vol. 65, no. 1, 014403, pp. 144031-144037.

}

TY - JOUR

T1 - Noise effect on the nonadiabatic transition and correction to the tunneling energy gap estimated by the Landau-Zener-Stückelberg formula

AU - Nishino, Masamichi

AU - Saitou, Keiji

AU - Miyashita, Seiji

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We study the effect of noise on the tunneling process of the magnetization in a sweeping field from the viewpoint of the nonadiabatic transition. The tunneling probability depends on the properties of the noise, e.g. the direction, the amplitude, and the relaxation time of the autocorrelation function. We investigate the tunneling probability in the presence of noise by solving the time-dependent Schrödinger equation numerically. We estimate the effective tunneling gap making use of the Landau-Zener-Stückelberg (LZS) formula. The dependence of the gap on the sweeping velocity reproduces the corresponding experimental data qualitatively. The estimated gap has no velocity dependence for a fast sweeping field and this gap seems to give the true gap. However, we show that a correction for the estimated energy gap is necessary and we propose a correction formula.

AB - We study the effect of noise on the tunneling process of the magnetization in a sweeping field from the viewpoint of the nonadiabatic transition. The tunneling probability depends on the properties of the noise, e.g. the direction, the amplitude, and the relaxation time of the autocorrelation function. We investigate the tunneling probability in the presence of noise by solving the time-dependent Schrödinger equation numerically. We estimate the effective tunneling gap making use of the Landau-Zener-Stückelberg (LZS) formula. The dependence of the gap on the sweeping velocity reproduces the corresponding experimental data qualitatively. The estimated gap has no velocity dependence for a fast sweeping field and this gap seems to give the true gap. However, we show that a correction for the estimated energy gap is necessary and we propose a correction formula.

UR - http://www.scopus.com/inward/record.url?scp=0036149312&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036149312&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036149312

VL - 65

SP - 144031

EP - 144037

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 1

M1 - 014403

ER -