Quantum diffusion for a quantum particle with a correlated Gaussian noise

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.

Source: arXiv:2602.23226v1 - http://arxiv.org/abs/2602.23226v1 PDF: https://arxiv.org/pdf/2602.23226v1 Original Link: http://arxiv.org/abs/2602.23226v1