First Experimental Realization of the Dirac Oscillator

First Experimental Realization of the Dirac Oscillator
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DOI:
10.1103/physrevlett.111.170405
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发表时间:
2013-10-24
影响因子:
8.6
通讯作者:
Seligman, T. H.
Seligman, T. H.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Franco-Villafane, J. A.;Sadurni, E.;Seligman, T. H.

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我们提出了一维狄拉克振子的第一个实验微波实现,这是一种在精确可解的相对论系统中的范例。该实验依赖于狄拉克振子与相应的紧束缚系统之间的关系。这种紧束缚系统由一系列耦合的介质盘链实现为微波系统,其中耦合是短暂的,并且可以适当地调整。有限微波系统的共振产生了有质量项和无质量项的一维狄拉克振子的频谱。实验装置的灵活性允许实现其他一维狄拉克类型的方程。
We present the first experimental microwave realization of the one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic systems. The experiment relies on a relation of the Dirac oscillator to a corresponding tight-binding system. This tight-binding system is implemented as a microwave system by a chain of coupled dielectric disks, where the coupling is evanescent and can be adjusted appropriately. The resonances of the finite microwave system yield the spectrum of the one-dimensional Dirac oscillator with and without a mass term. The flexibility of the experimental setup allows the implementation of other one-dimensional Dirac-type equations.