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Quantum Non-Locality in Systems with Open Boundaries: Failure of the Wigner-Function Formalism

Luigi Genovese·David Taj·Fausto Rossi
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Abstract

We shall revisit the conventional treatment of open quantum devices based on the Wigner-Function formalism. Our analysis will show that the artificial spatial separation between device active region and external reservoirs -properly defined within a semiclassical simulation scheme- is intrinsically incompatible with the non-local character of quantum mechanics. More specifically, by means of an exactly-solvable semiconductor model, we shall show that the application of the conventional boundary-condition scheme to the Wigner transport equation may produce highly non-physical results, like thermal injection of coherent state superpositions and boundary-driven negative probability distributions.

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Luigi Genovese, David Taj, Fausto Rossi. 2005-06-29. Quantum Non-Locality in Systems with Open Boundaries: Failure of the Wigner-Function Formalism. https://arxiv.org/abs/cond-mat/0506757

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