Emergence of equilibrium thermodynamic properties in quantum pure states. I. Theory

The Journal of Chemical Physics
Barbara Fresch, Giorgio J Moro

Abstract

Investigation on foundational aspects of quantum statistical mechanics recently entered a renaissance period due to novel intuitions from quantum information theory and to increasing attention on the dynamical aspects of single quantum systems. In the present contribution a simple but effective theoretical framework is introduced to clarify the connections between a purely mechanical description and the thermodynamic characterization of the equilibrium state of an isolated quantum system. A salient feature of our approach is the very transparent distinction between the statistical aspects and the dynamical aspects in the description of isolated quantum systems. Like in the classical statistical mechanics, the equilibrium distribution of any property is identified on the basis of the time evolution of the considered system. As a consequence equilibrium properties of quantum system appear to depend on the details of the initial state due to the abundance of constants of the motion in the Schrodinger dynamics. On the other hand the study of the probability distributions of some functions, such as the entropy or the equilibrium state of a subsystem, in statistical ensembles of pure states reveals the crucial role of typicality as t...Continue Reading

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Dec 24, 2009·The Journal of Physical Chemistry. a·Barbara Fresch, Giorgio J Moro
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris V Fine

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Citations

Feb 10, 2011·The Journal of Chemical Physics·Barbara Fresch, Giorgio J Moro
May 11, 2016·The Journal of Physical Chemistry. a·Maurizio CodenGiorgio J Moro
Jun 27, 2017·The Journal of Physical Chemistry. a·Francesco Avanzini, Giorgio J Moro
Nov 29, 2017·Physical Chemistry Chemical Physics : PCCP·Francesco Avanzini, Giorgio J Moro
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J L AlonsoF Falceto
Jan 14, 2017·Physical Review. E·Walter Hahn, Boris V Fine
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tatsuhiko N IkedaMasahito Ueda
Feb 22, 2018·The Journal of Physical Chemistry. a·Francesco Avanzini, Giorgio J Moro
Aug 30, 2017·The Journal of Physical Chemistry. a·Maurizio CodenBarbara Fresch

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