Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 24: Poster I
DY 24.10: Poster
Wednesday, March 28, 2007, 16:00–18:00, Poster D
Numerical computations for spin models using weighted graph states — •Simon Anders1, Hans J. Briegel1,2, and Wolfgang Dür1,2 — 1Institut für Theoretische Physik, Universität Innsbruck, Austria — 2Institut für Quantenoptik und Quanteninformation (IQOQI) der ÖAW
Recently, a number of novel techniques have been proposed for numerical treatment of spin systems, specifically aiming at the study of ground state properties and time evolution. We have introduced [1] a variational method based on so-called weighted graph states, a class of states with intrinsic long-range entanglement and suitability for arbitrary geometries. Here, we present new results, specifically on the application of our method for bosonic systems such as the Bose-Hubbard model and also compare it with other methods. Further, we have investigated possibilities to form a hybrid technique using the weighted graph states and projected entangled pair states [2] or tensor tree networks [3].
[1] Anders et al., Phys. Rev. Lett. 97 (2006), 107206
[2] Verstraete and Cirac, ArXiv cond-mat/0407066 (2004)
[3] Shi, Duan, Vidal, ArXiv quant-ph/0511070 (2004)