\tFachbereich Physik, University of Kaiserslautern, Erwin-Schrödinger-Strasse, 67663 Kaiserslautern, Germany
We present a closed, time-independent Hamiltonian system consisting of only few degrees of freedom which mimics the basic characteristics of an engine: Lifting a weight by extracting energy stored in fast degrees of freedom. We explicitly show that operating the engine leads to the creation of entangled states, not using any further assumtions or approximations but simply solving the system's quantum mechanical equations of motion. Even though the overall von-Neumann entropy is always conserved, interferences between different branches of the engine evolution are oscillating very fast which allows for the definition of a coarse-grained entropy, being a valid measure for the engine's efficiency. Our results thereby suggest that the foundations of thermodynamics are already deeply seeded within the nonlinear dynamics of only a few degrees of freedom.
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