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Wave Function Collapse in a Mesoscopic Device

G. B. Lesovik·A. V. Lebedev·G. Blatter
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Abstract

We determine the non-local in time and space current-current cross correlator $<\hat{I}(x_1,t_1) \hat{I}(x_2,t_2)>$ in a mesoscopic conductor with a scattering center at the origin. Its excess part appearing at finite voltage exhibits a unique dependence on the retarded variable $t_1-t_2-(|x_1|-|x_2|)/ v_{\rm\scriptscriptstyle F}$, with $v_{\rm\scriptscriptstyle F}$ the Fermi velocity. The non-monotonic dependence of the retardation on $x_1$ and its absence at the symmetric position $x_1 = -x_2$ is a signature of the wave function collapse, which thus becomes amenable to observation in a mesoscopic solid state device.

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G. B. Lesovik, A. V. Lebedev, G. Blatter. 2005-01-15. Wave Function Collapse in a Mesoscopic Device. https://doi.org/10.1103/physrevb.71.125313

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