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Q: Fachverband Quantenoptik und Photonik
Q 9: Quanteninformation: Konzepte II
Q 9.3: Talk
Monday, March 2, 2009, 14:30–14:45, VMP 6 HS-D
Real Space Renormalization Group Approach for Systems with Random Couplings. — •Oleg Gittsovich1,2, Enrique Rico3, and Hans J. Briegel1,2 — 1Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstrasse 21a, A-6020 Innsbruck, Österreich — 2Institut für Theoretische Physik, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Österreich — 3Fakultät für Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Österreich
We present a real-space renormalization group (RG) approach for disordered systems. The Hamiltonian of the systems is defined on a rectangular two-dimensional lattice and has only nearest-neighbor interactions. The merits of presented method are twofold. On the one hand we preserve the symmetries of the system, i.e. at each step of the renormalization the system is self-similar. On the other hand the renormalization of the whole quantum system can be seen as a classical sequence of the renormalizations of the coarse-grained system. We provide several examples where the renormalization procedure leads to reliable results for random transverse field Ising model (RTFIM) on a two-dimensional rectangular lattice.