>From Maximal Entropy Random Walk to quantum thermodynamics

Jagiellonian Univ.
Cracow, Poland

The natural random walk leading to Brownian motion usually refers to only approximate fulfillment of thermodynamical principles like maximizing uncertainty. Recently, a new approach to stochastic modeling was introduced, which finally fulfills these principles exactly. In contrast to Brownian motion, it turns out in agreement with thermodynamical predictions of quantum mechanics, like thermalizing to the quantum ground state probability density. It also provides a natural intuition of the amplitudes' squares relating to probabilities.