Quantum diffusion for a quantum particle with a correlated Gaussian noise
Yun Jeong Kang, Sung Kyu Seo, Kyungsik Kim
TL;DR
This paper analyzes how a quantum particle's diffusion is affected by correlated Gaussian noise, providing analytical solutions for key statistical measures of its motion.
Contribution
It introduces an analytical framework for quantum diffusion under correlated Gaussian noise, deriving explicit formulas for momentum and displacement.
Findings
Explicit expressions for mean square momentum and displacement
Analytical solution for joint probability density function
Insights into quantum diffusion dynamics
Abstract
We investigate the diffusive behavior of a quantum particle driven by a correlated Gaussian noise. We derive the analytical solution of the joint probability density function and obtain explicit expressions for the mean square momentum and the mean square displacement.
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Taxonomy
Topicsstochastic dynamics and bifurcation · Quantum Information and Cryptography · Advanced Thermodynamics and Statistical Mechanics