耦合光学系统中的非经典光:反常功率分布、Fock空间动力学和超对称性
Nonclassical light in coupled optical systems: anomalous power distribution, Fock space dynamics and supersymmetry
摘要:
我们研究了耦合光学结构中光的非经典态的动力学,并展示了一些与这种结构相关的有趣的特征。通过对角化系统的哈密顿量,我们表明,这些几何可以支持本征态具有反常的光强分布,没有经典的对应。这些特征可能为在量子水平上操纵光流提供新的途径。通过将哈密顿算子投影到不同光子激发数的Hilbert子空间上,我们证明了相干输运、态局域化和表面Bloch振荡等过程都可以在Fock空间中发生.此外,我们还证明了Fock空间流形的哈密顿表示只差一个光子,它们服从一个离散的超对称关系
英文摘要:
We investigate the dynamics of nonclassical states of light in coupled optical structures and we demonstrate a number of intriguing features associated with such arrangements. By diagonalizing the system's Hamiltonian, we show that these geometries can support eigenstates having anomalous optical intensity distribution with no classical counterpart. These features may provide new avenues towards manipulating light flow at the quantum level. By projecting the Hamiltonian operator on Hilbert subspaces spanning different numbers of photon excitations, we demonstrate that processes such as coherent transport, state localization and surface Bloch oscillations can take place in Fock space. Furthermore, we show that Hamiltonian representations of Fock space manifolds differing by one photon obey a discrete supersymmetry relation
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