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.

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Year of publication:	1999
Authors:	Jain, Sudhir R.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 264.1999, 1, p. 192-203
Publisher:	Elsevier
Subject:	Diffusion equation \| Quantum adiabatic system \| von Neumann equation \| Smoluchowski equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010872234