Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 15: Quantum Effects: Disorder

Q 15.1: Talk

Monday, February 29, 2016, 17:00–17:15, f442

Perturbative approach to the effective dynamics of disor- dered quantum systems — •Chahan Kropf, Clemens Gneiting, and Andreas Buchleitner — Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104, Freiburg, Deutschland

The ensemble average dynamics of disordered quantum systems can be effectively described by quantum master equations [1]. In the cases of spectral disorder and of isotropically disordered eigenvector distributions one can derive master equations which are valid for arbitrary times. Furthermore, in the limit of short-times, an explicit form valid for any disorder distribution can be derived [2]. We will show how this latter result can be expanded to longer time scales by using perturbation theory -- which is needed to diagonalize the Hamiltonians of the single realizations of the disorder -- prior to the ensemble average. As an example, we will discuss the validity of this approach for a specific application to the Anderson model.

[1] C. Kropf, C. Gneiting, and A. Buchleitner, arXiv:1511.08764 (2015)

[2] C. Gneiting, F. R. Anger, and A. Buchleitner, arXiv:1508.07187 (2015).