### 抄録

The stochastic limit approximation method for "rapid" decay is presented, where the damping rate γ is comparable to the system frequency Ω, i.e., γ∼Ω, whereas the usual stochastic limit approximation is applied only to the weak damping situation γ≪Ω. The key formulas for rapid decay are very similar to those for weak damping, but the dynamics are quite different. From a microscopic Hamiltonian, the spin-boson model, a Bloch equation containing two independent time scales is derived. This is a useful method to extract the minimal dissipative dynamics at high temperature k_{B}T≫ℏΩ and the master equations obtained are of the Lindblad form unlike that of Caldeira and Leggett. The validity of the method is confirmed by comparing the master equation derived through this method with the exact one.

元の言語 | English |
---|---|

ページ（範囲） | 1-6 |

ページ数 | 6 |

ジャーナル | Physical Review A - Atomic, Molecular, and Optical Physics |

巻 | 63 |

発行部数 | 2 |

DOI | |

出版物ステータス | Published - 2001 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### これを引用

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*63*(2), 1-6. https://doi.org/10.1103/PhysRevA.63.022103

**Stochastic limit approximation for rapidly decaying systems.** / Kimura, Gen; Yuasa, Kazuya; Imafuku, Kentaro.

研究成果: Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, 巻. 63, 番号 2, pp. 1-6. https://doi.org/10.1103/PhysRevA.63.022103

}

TY - JOUR

T1 - Stochastic limit approximation for rapidly decaying systems

AU - Kimura, Gen

AU - Yuasa, Kazuya

AU - Imafuku, Kentaro

PY - 2001

Y1 - 2001

N2 - The stochastic limit approximation method for "rapid" decay is presented, where the damping rate γ is comparable to the system frequency Ω, i.e., γ∼Ω, whereas the usual stochastic limit approximation is applied only to the weak damping situation γ≪Ω. The key formulas for rapid decay are very similar to those for weak damping, but the dynamics are quite different. From a microscopic Hamiltonian, the spin-boson model, a Bloch equation containing two independent time scales is derived. This is a useful method to extract the minimal dissipative dynamics at high temperature kBT≫ℏΩ and the master equations obtained are of the Lindblad form unlike that of Caldeira and Leggett. The validity of the method is confirmed by comparing the master equation derived through this method with the exact one.

AB - The stochastic limit approximation method for "rapid" decay is presented, where the damping rate γ is comparable to the system frequency Ω, i.e., γ∼Ω, whereas the usual stochastic limit approximation is applied only to the weak damping situation γ≪Ω. The key formulas for rapid decay are very similar to those for weak damping, but the dynamics are quite different. From a microscopic Hamiltonian, the spin-boson model, a Bloch equation containing two independent time scales is derived. This is a useful method to extract the minimal dissipative dynamics at high temperature kBT≫ℏΩ and the master equations obtained are of the Lindblad form unlike that of Caldeira and Leggett. The validity of the method is confirmed by comparing the master equation derived through this method with the exact one.

UR - http://www.scopus.com/inward/record.url?scp=20444374783&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20444374783&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.63.022103

DO - 10.1103/PhysRevA.63.022103

M3 - Article

AN - SCOPUS:0041559598

VL - 63

SP - 1

EP - 6

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 2

ER -