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Open Quantum Systems Decoherence

Origin of chaos in 3-d Bohmian trajectories

arXiv
Authors: Athanasios C. Tzemos, George Contopoulos, Christos Efthymiopoulos

Year

2016

Paper ID

43411

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

We study the 3-d Bohmian trajectories of a quantum system of three harmonic oscillators. We focus on the mechanism responsible for the generation of chaotic trajectories. We demonstrate the existence of a 3-d analogue of the mechanism found in earlier studies of 2-d systems, based on moving 2-d `nodal point - X-point complexes'. In the 3-d case, we observe a foliation of nodal point - X-point complexes, forming a `3-d structure of nodal and X-points'. Chaos is generated when the Bohmian trajectories are scattered at one or more close encounters with such a structure.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We study the 3-d Bohmian trajectories of a quantum system of three harmonic oscillators.

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