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Dissipation in Quantum Mechanical Systems: Where Is the System and Where Is the Reservoir?

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Why More Is Different

Part of the book series: The Frontiers Collection ((FRONTCOLL))

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Abstract

Brownian motion, that is the fate of a heavy particle immersed in a fluid of lighter particles, is the prototype of a dissipative system coupled to a thermal bath with infinitely many degrees of freedom. The works by Einstein and others have uncovered the fundamental relation between friction, diffusion and temperature of the bath. While the classical treatment relies on the separability of particle and its surrounding, this is no longer true for open quantum systems. In fact, for stronger interaction between system and environment, collective effects may appear such that it is by no means obvious to identify where is the system and where is the bath. In this article, we discuss foundations and specific examples of these cooperative phenomena.

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Correspondence to Joachim Ankerhold .

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© 2015 Springer-Verlag Berlin Heidelberg

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Ankerhold, J. (2015). Dissipation in Quantum Mechanical Systems: Where Is the System and Where Is the Reservoir?. In: Falkenburg, B., Morrison, M. (eds) Why More Is Different. The Frontiers Collection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43911-1_4

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  • DOI: https://doi.org/10.1007/978-3-662-43911-1_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43910-4

  • Online ISBN: 978-3-662-43911-1

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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