Classical and quantum interference in multiband optical Bloch oscillations

Abstract

Classical and quantum interference of light propagating in arrays of coupled waveguides and undergoing multiband optical Bloch oscillations (BOs) with negligible Zener tunneling is theoretically investigated. In particular, it is shown that Mach-Zehnder-like interference effects spontaneously arise in multiband BOs owing to beam splitting and subsequent beam recombination occurring in one BO cycle. As a noteworthy example of quantum interference, we discuss the doubling of interference fringes in photon counting rates for a correlated photon pair undergoing two-band BOs, a phenomenon analogous to the manifestation of the de Broglie wavelength of an entangled biphoton state observed in quantum Mach-Zehnder interferometry.

11 pages, 4 figures

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• Silica-on-Silicon Waveguide Quantum Circuits
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• Bloch-Zener oscillations
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• Zak phase of photons in optical waveguide lattices
• Wigner Distribution of Elliptical Quantum Optical Vortex
• Quantum interference in timed Dicke basis and its effect on bipartite entanglement
• Dynamical phase interferometry of cold atoms in optical lattices
• Unobservable Potentials to Explain Single Photon and Electron Interference