Rothschild lecture: Superoscillations and weak measurement
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If you have a question about this talk, please contact Mustapha Amrani.
Topological Dynamics in the Physical and Biological Sciences
Bandlimited functions can oscillate arbitrarily faster than their fastest Fourier component over arbitrarily long intervals. Where such superoscillationsoccur, functions are exponentially weak. In typical monochromatic optical fields, substantial fractions of the domain (onethird in two dimensions) are superoscillatory. Superoscillations have implications for signal processing, and raise the possibility of subwavelength resolution microscopy without evanescent waves. In quantum mechanics, superoscillations correspond to weak measurements, suggesting weak values of observables (e.g photon momenta) far outside the range represented in the quantum state. A weak measurement of neutrino speed could lead to a superluminal result without violating causality, but the effect is too small to explain the speed recently claimed in a recent (and nowdiscredited) experminent.
This talk is part of the Isaac Newton Institute Seminar Series series.
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