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Quantum diffusion for a quantum particle with a correlated Gaussian noise
Yun Jeong Kang, Sung Kyu Seo, Kyungsik Kim·February 26, 2026
Quantum Physicscond-mat.stat-mech
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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.