Anomalous time delays and quantum weak measurements in optical micro-resonators

M. Asano, K. Y. Bliokh (), Y. P. Bliokh, A. G. Kofman, R. Ikuta, T. Yamamoto, Y. S. Kivshar, L. Yang, N. Imoto, Ş.K. Özdemir () and F. Nori
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M. Asano: Graduate School of Engineering Science, Osaka University
K. Y. Bliokh: Quantum Condensed Matter Research Group, Center for Emergent Matter Science, RIKEN
Y. P. Bliokh: Technion–Israel Institute of Technology
A. G. Kofman: Quantum Condensed Matter Research Group, Center for Emergent Matter Science, RIKEN
R. Ikuta: Graduate School of Engineering Science, Osaka University
T. Yamamoto: Graduate School of Engineering Science, Osaka University
Y. S. Kivshar: Nonlinear Physics Centre, RSPE, The Australian National University
L. Yang: Washington University
N. Imoto: Graduate School of Engineering Science, Osaka University
Ş.K. Özdemir: Washington University
F. Nori: Quantum Condensed Matter Research Group, Center for Emergent Matter Science, RIKEN

Nature Communications, 2016, vol. 7, issue 1, 1-9

Abstract: Abstract Quantum weak measurements, wavepacket shifts and optical vortices are universal wave phenomena, which originate from fine interference of multiple plane waves. These effects have attracted considerable attention in both classical and quantum wave systems. Here we report on a phenomenon that brings together all the above topics in a simple one-dimensional scalar wave system. We consider inelastic scattering of Gaussian wave packets with parameters close to a zero of the complex scattering coefficient. We demonstrate that the scattered wave packets experience anomalously large time and frequency shifts in such near-zero scattering. These shifts reveal close analogies with the Goos–Hänchen beam shifts and quantum weak measurements of the momentum in a vortex wavefunction. We verify our general theory by an optical experiment using the near-zero transmission (near-critical coupling) of Gaussian pulses propagating through a nano-fibre with a side-coupled toroidal micro-resonator. Measurements demonstrate the amplification of the time delays from the typical inverse-resonator-linewidth scale to the pulse-duration scale.

Date: 2016
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DOI: 10.1038/ncomms13488

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