Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle

Details Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle

2010-12-03

arxiv.org/abs/1012.0681v1

Physics

Quantum Physics

6 pages, no figures

Scientific paper

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for an open quantum system interacting with a non-equilibrium environment, where temperature is no longer a valid notion, a fluctuation-dissipation inequality exists. Clearly stated, quantum fluctuations are bounded below by quantum dissipation, whereas classically the fluctuations can be made to vanish. The lower bound of this inequality is exactly satisfied by (zero-temperature) quantum noise and is in accord with the Heisenberg uncertainty principle, both in its microscopic origins and its influence upon systems. Moreover, it is shown that the non-equilibrium fluctuation-dissipation relation determines the non-equilibrium uncertainty relation in the weak-damping limit.

Affiliated with

Also associated with

No associations

Rating

Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Equilibrium Fluctuation-Dissipation Inequality and Non-Equilibrium Uncertainty Principle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-514707