Exponentially Complex "Classically Entangled" States in Arrays of One-Dimensional Nonlinear Elastic Waveguides
Exponentially Complex "Classically Entangled" States in Arrays of One-Dimensional Nonlinear Elastic Waveguides
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DOI：
10.3390/ma12213553
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发表时间：
2019-11-01
期刊：
影响因子：
3.4
通讯作者：
Calderin, L.
中科院分区：
文献类型：
--
作者：
Deymier, P. A.;Runge, K.;Calderin, L.
我们从理论上证明，使用多时间尺度微扰理论，存在不可分离的叠加的弹性波在外部驱动的弹性系统组成的三个一维弹性波导耦合通过非线性力。不可分状态以指数复杂度跨越希尔伯特空间。出现在不可分离的弹性态叠加中的振幅是依赖于外部驱动器频率的复量。通过调整这些复振幅，我们可以在状态的希尔伯特空间中导航。这个非线性弹性系统类似于两部分两能级量子系统。
We demonstrate theoretically, using multiple-time-scale perturbation theory, the existence of nonseparable superpositions of elastic waves in an externally driven elastic system composed of three one-dimensional elastic wave guides coupled via nonlinear forces. The nonseparable states span a Hilbert space with exponential complexity. The amplitudes appearing in the nonseparable superposition of elastic states are complex quantities dependent on the frequency of the external driver. By tuning these complex amplitudes, we can navigate the state's Hilbert space. This nonlinear elastic system is analogous to a two-partite two-level quantum system.