Nonadiabatic Effect and Dynamic Compensation in a Spin-Boson System

自旋玻色子系统中的非绝热效应和动态补偿

• 批准号: 02640269
• 负责人: TSUZUKI Toshio
• 金额: $ 0.96万
• 依托单位: Tohoku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1990
• 资助国家: 日本
• 起止时间: 1990 至 1991
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-02640269/
• 关键词: Dynamic compensation; Spin-boson system; Variational ground state; Tunneling-localization transition; Differential method to find thermal average; Thermodynamics and dynamics; Quantum tunneling system; Nonadiabatic effect; トンネリングー局転移在; 二重井戸系; 量子

1. Dynamics compensation theory has been proposed for a spin-boson system with a bilinear coupling between. Contributions from the zero-point and thermodynamic fluctuations are completely compensated by those from the dynamical fluctueltions of cohererly excited bosons in the infrared range of boson energy. We have to treat the adiabatic and nonadiababatic effects of the bosonic bath simultaneously. Those are inseparable ones from one another.2. The ground stale has been formulated and studied variationally. This theory describes that in the ohmic case the tunneling-localization transition takes place at a critical coupling strength alpha_c = 1/2 in the white bath ffidt, which is different from 1 obtained by the adiabatic renormalization.3. The thermodynamics and dynamics have been formulated. It has been found that the spin-boson interaction is exhausted by the ground state correlation.4. A new method has been proposed to compute the thermal average by differential operation. On using this method we study the mechanics and next calculate the thermodynamic effect.5. It has been shown that the dynamic compensation is a new concept of renormalization in a system with degenerate potentialftminima(quantum tunneling system)which is coupled to a bosonic bath by a bilinear interaction.

1.提出了自旋-玻色子双线性耦合系统的动力学补偿理论。零点和热力学涨落的贡献完全被玻色子能量红外范围内相干激发玻色子的动力学涨落的贡献所补偿。我们必须同时处理玻色子浴的绝热和非绝热效应。这些是不可分割的一个彼此。2.地面状态已制定和变分研究。该理论描述了在欧姆情况下，在白色熔池ffidt中当临界耦合强度α_c = 1/2时发生隧穿-局域化转变，这与绝热重整化得到的1不同.热力学和动力学已经制定。研究发现自旋-玻色子相互作用被基态关联耗尽.提出了一种新的计算热平均值的方法，即微分运算法。在使用这种方法，我们研究的力学和下一步计算的热力学效应.研究表明，在通过双线性相互作用耦合到玻色浴的简并势极小系统（量子隧穿系统）中，动态补偿是重整化的一个新概念。

项目成果

Toshio TSUZUKI: "Ground State of a Spin-Boson System-The Dynamic Compensation Theorem and the Orthogonality Theorem-" Progress of Theoretical Physics. 82. 917-929 (1989)

Toshio TSUZUKI：“自旋玻色子系统的基态-动态补偿定理和正交性定理-”理论物理进展。

Toshio TSUZUKI: "Nonadiabatic Effect and Dynamic Compensation in a Spin-Boson System (in Japanese)" Bussei Kenkyu. 54, No. 5. 565-575 (1990)

Toshio TSUZUKI：“自旋玻色子系统中的非绝热效应和动态补偿（日语）”Bussei Kenkyu。

Toshio TSUZUKI: "The Quantum TunnelingーLocalization Transition of the Ground State of a SpioーBoson System" Solid State Communications. 79. 9-12 (1991)

Toshio TSUZUKI：“Spio-玻色子系统基态的量子隧道局域化转变”固态通信。79. 9-12 (1991)

Toshio TSUZUKI: "Ground State of a SpinーBoson System.IIーWavefunction and Variational Studyー" Progress of Theoretical Physics. 87. NO.3 (1992)

Toshio TSUZUKI：“自旋玻色子系统的基态。II-波函数和变分研究-”理论物理进展87. NO.3（1992）。

都築 俊夫: "スピンーボソン系における非断熱効果と動的補償定理" 物性研究. 54. 565-575 (1990)

Toshio Tsuzuki：“自旋玻色子系统中的非绝热效应和动态补偿定理”Condensed Matter Research 54. 565-575 (1990)。