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arXiv · 1602.01905

Dissipation in small systems: A Landau-Zener approach

Felipe Barra·Massimiliano Esposito
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Abstract

We establish a stochastic thermodynamics for a Fermionic level driven by a time-dependent force and interacting with initially thermalized levels playing the role of a reservoir. The driving induces consecutive avoided crossings between system and reservoir levels described within Landau-Zener theory. We derive the resulting system dynamics and thermodynamics and identify energy, work, heat, entropy and dissipation. Our theory perfectly reproduces the numerically exact quantum work statistics obtained using a two point measurements approach of the total energy and provides an explicit expression for the dissipation in terms of diabatic transitions.

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BibTeXRIS

Felipe Barra, Massimiliano Esposito. 2016-02-05. Dissipation in small systems: A Landau-Zener approach. https://doi.org/10.1103/physreve.93.062118

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