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arXiv quant-ph/0312140quant-phcond-mat.stat-mech
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弱耗散大自旋系统的动力学

Dynamics of a large spin with weak dissipation

T. Vorrath, T. Brandes, B. Kramer

摘要:

我们研究了自旋玻色子模型推广到任意自旋大小的问题。Born-Markov近似推导出一个主方程的政权小耦合强度的环境。当自旋为1/2时,主方程转化为一组Bloch方程,其解与自旋玻色子模型在弱欧姆耗散下的结果符合得很好。对于较大的自旋,我们发现了一个超辐射的行为从迪克模型。耗散环境的非共振玻色子的影响可以导致自旋的$z$分量的动力学中拍频图案的形成。拍频与频谱函数的截止值$ω_c$近似成比例。

英文摘要:

We investigate the generalization of the spin-boson model to arbitrary spin size. The Born-Markov approximation is employed to derive a master equation in the regime of small coupling strengths to the environment. For spin one half, the master equation transforms into a set of Bloch equations, the solution of which is in good agreement with results of the spin-boson model for weak ohmic dissipation. For larger spins, we find a superradiance-like behavior known from the Dicke model. The influence of the nonresonant bosons of the dissipative environment can lead to the formation of a beat pattern in the dynamics of the $z$-component of the spin. The beat frequency is approximately proportional to the cutoff $ω_c$ of the spectral function.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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