Stochastic Bohmian and Scaled Trajectories
- URL: http://arxiv.org/abs/2206.15260v1
- Date: Thu, 30 Jun 2022 13:11:00 GMT
- Title: Stochastic Bohmian and Scaled Trajectories
- Authors: S. V. Mousavi, S. Miret-Artes
- Abstract summary: The gradual decoherence process is studied from linear and nonlinear Schr"odinger equations through Bohmian trajectories.
Two sources of decoherence of different nature are going to be considered.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this review we deal with open (dissipative and stochastic) quantum systems
within the Bohmian mechanics framework which has the advantage to provide a
clear picture of quantum phenomena in terms of trajectories, originally in
configuration space. The gradual decoherence process is studied from linear and
nonlinear Schr\"odinger equations through Bohmian trajectories as well as by
using the so-called quantum-classical transition differential equation through
scaled trajectories. This transition is governed by a continuous parameter, the
transition parameter, covering these two extreme open dynamical regimes. Thus,
two sources of decoherence of different nature are going to be considered.
Several examples will be presented and discussed in order to illustrate the
corresponding theory behind each case, namely: the so-called Brownian-Bohmian
motion leading to quantum diffusion coefficients, dissipative diffraction in
time, dissipative tunnelling for a parabolic barrier under the presence of an
electric field and stochastic early arrivals for the same type of barrier. In
order to simplify the notations and physical discussion, the theoretical
developments will be carried out in one dimension throughout all this wok. One
of the main goals is to analyze the gradual decoherence process existing in
these open dynamical regimes in terms of trajectories, leading to a more
intuitive way of understanding the underlying physics in order to gain new
insights.
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