Externally driven parallel arrays of elastic waveguides inelastically coupled along their length are shown to support inelastic modes that span exponentially complex Hilbert spaces. The nonlinear coupling takes the form of power functions of the relative displacement between waveguides. First order perturbation theory is employed to obtained closed form solutions for the contribution of nonlinearity to the displacement field in the form of nonseparable superpositions of product states of plane waves. When the system is dissipative, the coefficients of the superposition of product states are complex and can be varied by controlling the characteristics of the way the array is driven externally. The entropy of ‘entanglement’ of these nonseparable superpositions of product states is calculated from the complex amplitudes through the density matrix. Navigation of the exponentially complex Hilbert space of product states enables manipulation of the degree of nonseparability of the sup...

中文翻译：

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非线性耦合一维弹性波导平面阵列中的指数复杂不可分状态

示出了沿其长度非弹性耦合的弹性波导的外部驱动的平行阵列以支持跨越指数复杂的希尔伯特空间的非弹性模式。非线性耦合采取波导之间相对位移的幂函数形式。一阶扰动理论被用来获得闭合形式的解，以平面波的积状态的不可分离的叠加形式对非线性贡献的位移场。当系统耗散时，乘积状态的叠加系数很复杂，可以通过控制阵列从外部驱动的方式来改变。根据密度矩阵中的复振幅，计算出产品状态的这些这些不可分的叠加的“纠缠”熵。