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Open Quantum Systems Decoherence

Causal evolution of wave packets

arXiv
Authors: Michał Eckstein, Tomasz Miller

Year

2016

Paper ID

43169

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

Abstract

Drawing from the optimal transport theory adapted to the relativistic setting we formulate the principle of a causal flow of probability and apply it in the wave packet formalism. We demonstrate that whereas the Dirac system is causal, the relativistic-Schrödinger Hamiltonian impels a superluminal evolution of probabilities. We quantify the causality breakdown in the latter system and argue that, in contrast to the popular viewpoint, it is not related to the localisation properties of the states.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • Drawing from the optimal transport theory adapted to the relativistic setting we formulate the principle of a causal flow of probability and apply it in the wave packet formalism.

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