A Diffusion Equation for Quantum Adiabatic Systems

Details A Diffusion Equation for Quantum Adiabatic Systems A Diffusion Equation for Quantum Adiabatic Systems

1998-03-25

arxiv.org/abs/chao-dyn/9803034v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, Latex, no figures

Scientific paper

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.

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