Hyperdiffusion of quantum waves in random photonic lattices
Copyright policy )Hyperdiffusion of quantum waves in random photonic lattices
A quantum-mechanical analysis of hyper-fast (faster than ballistic) diffusion of a quantum wave packet in random optical lattices is presented. The main motivation of the presented analysis is experimental demonstrations of hyper-diffusive spreading of a wave packet in random photonic lattices [L. Levi \textit{et al.}, Nature Phys. \textbf{8}, 912 (2012)]. A rigorous quantum-mechanical calculation of the mean probability amplitude is suggested, and it is shown that the power law spreading of the mean squared displacement (MSD) is $< x^2(t)>\sim t^��$, where $2
Quantum Physics, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Quantum Physics (quant-ph), Physics - Optics, Optics (physics.optics)
Quantum Physics, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, Quantum Physics (quant-ph), Physics - Optics, Optics (physics.optics)
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