Hamburg 2009 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 39: Quanteninformation: Konzepte V

Q 39.3: Talk

Wednesday, March 4, 2009, 17:00–17:15, VMP 6 HS-D

Critical exponents of quantum critical models by means of a QuMERA channel — •Simone Montangero — Institut für Quanteninformationsverarbeitung Albert-Einstein-Allee 11 D-89069 Ulm Deutschland

We discuss an iterative method for the optimization of a tensor network based on the Multiscale Entanglement Renormalization Ansatz (MERA) which is suited for quantum critical systems in the thermodynamic limit. We test this technique to compute the critical exponents of the Ising and XXZ model where we can compare the method with the exact values. The agreement is typically of the order of few % already for moderate dimensions of the tensor indices.