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A Diffusion Equation for Quantum Adiabatic Systems

For ergodic adiabatic quantum systems, we study the evolution of energy distribution as the system evolves in time. Starting from the von Neumann equation for the density operator, we obtain the quantum analogue of the Smoluchowski equation on coarse-graining over the energy spectrum. This result brings out the precise notion of quantum diffusion.

preprint1998arXivOpen access
Sudhir R. Jain
chao-dynnlin.CD
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Sudhir R. Jain

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