通过费米子气体-杂质模型玻色化的精确可解三能级量子耗散系统
Exactly solvable three-level quantum dissipative systems via bosonisation of fermion gas-impurity models
摘要：
利用构造性玻色化和幺正变换的方法，研究了一维费米子气体杂质模型与量子耗散系统之间的关系。从各向异性Coqblin-Schrieffer模型出发，导出了一个新的、精确可解的三能级量子耗散系统，作为标准自旋-半自旋-玻色子模型的推广.新系统有两个欧姆耦合的环境振荡器浴，并允许三个能级之间的任意失谐。所有的隧道矩阵元素是相等的，直到一个复杂的相位，这本身是一个功能的纵向和横向耦合的可积极限。我们的工作强调了重新审视费米子气体杂质模型和自旋链的详细结构的重要性，根据量子耗散系统模型的连接。
英文摘要：
We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonisation and unitary transformation. Starting from an anisotropic Coqblin-Schrieffer model, a new, exactly solvable, three-level quantum dissipative system is derived as a generalisation of the standard spin-half spin-boson model. The new system has two environmental oscillator baths with ohmic coupling, and admits arbitrary detuning between the three levels. All tunnelling matrix elements are equal, up to one complex phase which is itself a function of the longitudinal and transverse couplings in the integrable limit. Our work underlines the importance of re-examining the detailed structure of fermion-gas impurity models and spin chains, in the light of connections to models for quantum dissipative systems.
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