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We present a theoretical study on Bloch oscillations in a helicoidal lattice with the first neighbor hopping and a selected N-th neighbor hopping. By the use of a simple variational approach, we analytically predict the occurrence of the anharmonic Bloch oscillation, which includes a specific high-order harmonic caused by the selected N-th neighbor hopping. In numerical simulations, we also observe...
We find the quantum correspondence (a four-parameter squeezing operator U(r,s,μ)) of the mixed optical Lenz–Fresnel transform, i.e. that the kernel of Lenz–Fresnel transform is just the matrix element of U(r,s,μ) in the entangled states. The group multiplication rule of U(r,s,μ) is proved by virtue of its coherent entangled state representation which is essential to this correspondence.
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