Quantum and classical branching flow in space and time

• URL: http://arxiv.org/abs/2209.01439v1
• Date: Sat, 3 Sep 2022 14:40:18 GMT
• Title: Quantum and classical branching flow in space and time
• Authors: Jakub \v{S}\v{t}avina and Peter Bokes
• Abstract summary: Branching flow -- a phenomenon known for steady wave propagation in two-dimensional weak correlated random potential is also present in Schr"odinger equation for a single particle in one dimension. We explore the two-dimensional parameter space of this model using numerical simulations and identify its classical regions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Branching flow -- a phenomenon known for steady wave propagation in two-dimensional weak correlated random potential is also present in the time-dependent Schr\"odinger equation for a single particle in one dimension, moving in a fluctuating random potential. We explore the two-dimensional parameter space of this model using numerical simulations and identify its classical regions, where just one classical parameter is sufficient for its specification, and its quantum region, where such a simplification is not possible. We also identify region of the parameter space where known analytical results of a classical white-noise model are relevant. Qualitative behavior of quantum and classical particle dynamics is discussed in terms of branching time scale and a new time scale related to particle's kinetic energy.

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