Fluctuation-Dissipation Inequality for Quadratic Open Systems
Quantum Physics
2013-09-24 v1
Abstract
For open systems derived from quadratic total Hamiltonians, we derive a dynamic fluctuation-dissipation (FD) inequality valid for any total initial state and without regard to the sign of the dissipation. With the added constraint that this state be factorized with the reservoir in thermal equilibrium, an uncertainty relation arises naturally from the FD inequality that can be stronger than one common form of the uncertainty principle. We discuss some of the properties of the uncertainty relation relevant to decoherence.
Cite
@article{arxiv.1309.5397,
title = {Fluctuation-Dissipation Inequality for Quadratic Open Systems},
author = {Allan Tameshtit},
journal= {arXiv preprint arXiv:1309.5397},
year = {2013}
}