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Dynamical fluctuations in classical adiabatic processes: General description and their implications

arXiv
Authors: Qi Zhang, Jiangbin Gong, C. H. Oh

Year

2010

Paper ID

11218

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

Dynamical fluctuations in classical adiabatic processes are not considered by the conventional classical adiabatic theorem. In this work a general result is derived to describe the intrinsic dynamical fluctuations in classical adiabatic processes. Interesting implications of our general result are discussed via two subtopics, namely, an intriguing adiabatic geometric phase in a dynamical model with an adiabatically moving fixed-point solution, and the possible "pollution" to Hannay's angle or to other adiabatic phase objects for adiabatic processes involving non-fixed-point solutions.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Dynamical fluctuations in classical adiabatic processes are not considered by the conventional classical adiabatic theorem.

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