Thermodynamic work associated to quantum Brownian motion in an external field
Abstract
This work focuses on the response to an external field of a Brownian particle submerged in an Ohmic quantum thermal bath. The field only affects the dynamics of the central particle without affecting the thermal reservoir. The thermodynamic function to be analyzed is the average work due only to the external force. Being energy a non-local function of the protocol, a standard variational principle is used to derive it. It was found that the energy reaches a minimum imposing a restriction on the optimal protocol. This is found by applying the variational principle to the non-local work functional.It is also a minimum and only depends of the friction coefficient of the surrounding fluid.
Cite
@article{arxiv.1910.08093,
title = {Thermodynamic work associated to quantum Brownian motion in an external field},
author = {Pedro J. Colmenares},
journal= {arXiv preprint arXiv:1910.08093},
year = {2019}
}
Comments
13 pages, 8 figures. Although the functional procedure employed in the manuscript is correct, the Hamiltionan should be the quantum one and not the classical as it was used in the derivation. This is the reason to withdraw the manuscript