Physicists at the University of Bonn have experimentally proven that an important theorem of statistical physics applies to so-called "Bose-Einstein condensates." Their results now make it possible to measure certain properties of the quantum “superparticles” and deduce system characteristics that would otherwise be difficult to observe. The study has now been published in Physical Review Letters ("Fluctuation-Dissipation Relation for a Bose-Einstein Condensate of Photons").
Suppose in front of you there is a container filled with an unknown liquid. Your goal is to find out by how much the particles in it (atoms or molecules) move back and forth randomly due to their thermal energy. However, you do not have a microscope with which you could visualize these position fluctuations known as "Brownian motion".
It turns out you do not need that at all: You can also simply tie an object to a string and pull it through the liquid. The more force you have to apply, the more viscous your liquid. And the more viscous it is, the lesser the particles in the liquid change their position on average. The viscosity at a given temperature can therefore be used to predict the extent of the fluctuations.
The physical law that describes this fundamental relationship is the fluctuation-dissipation theorem. In simple words, it states: The greater the force you need to apply to perturb a system from the outside, the less it will also fluctuate randomly (i.e., statistically) on its own if you leave it alone. "We have now confirmed the validity of the theorem for a special group of quantum systems for the first time: the Bose-Einstein condensates," explains Dr. Julian Schmitt from the Institute of Applied Physics at the University of Bonn.
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