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Kinetic theory for quantum nanosystems

Massimiliano Esposito
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Abstract

In this thesis, we investigate the emergence of kinetic processes in finite quantum systems. We first generalize the Redfield theory to describe the dynamics of a small quantum system weakly interacting with an environment of finite heat capacity. We then study in detail the spin-GORM model, a model made of a two-level system interacting with a random matrix environment. By doing this, we verify our new theory and find a critical size of the environment over which kinetic processes occur. We finally study the emergence of a diffusive transport process, on a finite tight-binding subsystem interacting with a fast environment, when the size of subsystem exceeds a critical value.

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Massimiliano Esposito. 2004-12-17. Kinetic theory for quantum nanosystems. https://arxiv.org/abs/cond-mat/0412495

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