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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