Dresden 2014 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 83: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems I

TT 83.4: Vortrag

Donnerstag, 3. April 2014, 10:30–10:45, HSZ 03

Entanglement propagation and typicality of measurements in a quantum version of the Kac ring — •Johannes M. Oberreuter, Ingo Homrighausen, and Stefan Kehrein — Institut für Theoretische Physik, Georg-August-Universität Göttingen, Germany

Time development in quantum many body systems poses serious challenges to our understanding of classical statistical mechanics. Exact results are very rare due to the large Hilbert spaces and the resulting complexity involved. We propose a pedagogical approach with a very tractable toy model, in which questions of entanglement creation, propagation and destruction between a system and an environment can be studied explicitly. Comparing this quantum model with its classical counterpart [1], we find an intriguing correspondence between the typical result of repeated measurements on a classical ensemble and the repeated measurements of a quantum system in an appropriate superposition.

[1] G. Gottwald and M. Oliver, Boltzmann’s Dilemma : An Introduction to Statistical Mechanics via the Kac Ring, SIAM Rev. 51, 613 (2009)