Exact description of spectral correlators by a quantum one-dimensional model with inverse-square interaction.
Exact description of spectral correlators by a quantum one-dimensional model with inverse-square interaction.
复制标题
通过具有平方反比相互作用的量子一维模型对光谱相关器的精确描述。
DOI：
10.1103/physrevlett.70.4122
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发表时间：
1993
影响因子：
8.6
通讯作者：
Altshuler
中科院分区：
文献类型：
--
作者：
Simons;Lee;Altshuler
描述无序金属颗粒能级对任意微扰响应的普适关联等价于一维量子哈密顿量的含时反平方相互作用关联。这些结果建立了强相互作用量子哈密顿量、无序电子系统的非线性模型和量子混沌谱之间的直接联系。因此，我们得到了量子哈密顿量的关联函数的表达式，我们认为它对所有空间和时间都是精确的
The universal correlations which describe the response of energy levels of a disordered metallic grain to an arbitrary perturbation are shown to be equivalent to time-dependent correlations of a one-dimensional quantum Hamiltonian with inverse-square interaction. These results establish a direct connection between a strongly interacting quantum Hamiltonian, the nonlinear a model of disordered electronic systems, and quantum chaotic spectra. As a consequence we have an expression for the correlation function of the quantum Hamiltonian which we believe to be exact for all space and time