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 International Conference on Complex Systems (ICCS2007)

Emergence of classical control from quantum mechanics

Heiko Schröder
1. Institut für Theoretische Physik, Universität Stuttgart

Günter Mahler
1. Institut für Theoretische Physik, Universität Stuttgart

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     Last modified: September 7, 2007

The development of Quantum Thermodynamics in the recent years has shown how thermodynamical concepts emerge already in quite small quantum systems by pure Schroedinger dynamics. The existence of and relaxation to a thermal equilibrium has been found to be dependent on the existence of a suitable but not necessarily big quantum environment. On this background, we deal with the question of the implementation of classical control in quantum systems by quantum systems as another important concept of thermodynamics. Here, we show under what conditions the concept of a classical driver emerges in small quantum systems using the factorization approximation and the results of full Schroedinger dynamics calculations. For simple and small quantum systems it turns out that the emergence of classical control is quite sensitive to the chosen type of interaction between system and environment and the type of initial state for the whole system.

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