Hannover 2016 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 12: Ultra-cold atoms, ions and BEC (with A)
Q 12.34: Poster
Monday, February 29, 2016, 16:30–19:00, Empore Lichthof
An analytic model of quantum thermalization — •Gregory Szep1, Mikhail Katsnelson2, and Mikhail Lemeshko1 — 1Institute of Science and Technology Austria, Am Campus 1, Klosterneuburg 3400, Austria — 2Radboud University of Nijmegen, Heijendaalseweg 135, 6525AJ Nijmegen, The Netherlands
The thermalisation of a subsystem, contained in a closed dynamical system - in both classical and quantum regimes - is an intuitive phenomenon by which the energy levels of the subsystem irreversibly approach the maximum entropy canonical distribution. Numerical evidence, based on single trajectories of both integrable and non-integrable systems, has been presented [1,2], while no analytic results exist that do not invoke the eigenstate thermalisation hypothesis or artificial thermostats. Here a method is proposed, that treats the eigenstates spanned by the equivalent closed subsystem as the basis set from which measurements are obtained. By considering how do the hybridised subsystem-system states, project onto the closed subsystem eigenstates, an attempt is made to derive a canonical distribution for the subsystem.
[1] F. Jin, et. al., New. J. Phys. 15, 033009 (2013) [2] S. Yuan, H. De Raedt, and M. I. Katsnelson, J. Phys. Soc. Jpn. 78, 094003 (2009).