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Nature Physics

Worth the wait

Frank Verstraete

Published Jul 1, 2015• 7 citations
Publisher
DOI
10.1038/nphys3381

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Looking Forward

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The measurement problem is approached from a mechanical aspect, utilizing schematics to better assist in visualizing the boundary and the interplay between the quantum and classical worlds. This approach graphically illustrates what happens when a photon is absorbed by the retinal molecule, and reveals that even after collapse of the wave function, the information previously carried by the photon and passed on to the pi* electron, is still at the microscopic level waiting to be amplified up to the macroscopic level by the rod cell. This analysis reveals that the measuring device or detector is of an unusual 2-stage nature, consisting of a microscopic entity or rhodopsin molecule which is not affected by the environment, contained within a macroscopic rod cell which serves as an amplifier. This approach may also allow one to better visualize the boundary conditions just prior to collapse and whether it is necessary to make any kind of adjustment to the Schroedinger equation to achieve a nonlinear collapse.
We formulate a quantum theory of electron waiting time distributions for charge transport in nanostructures described by non-Markovian generalized master equations. We illustrate our method by calculating the waiting time distribution of electron transport through a dissipative double quantum dot, where memory effects are present due to a strongly coupled heat bath. We consider the influence of non-Markovian dephasing on the distribution of electron waiting times and discuss how spectral properties of the heat bath may be detected through measurements of the electron waiting time.