Real space renormalization group: quantum systems

Rémi Jullien, K. A. Penson, Pierre M. Pfeuty +1 more

J. Szṅajd

Glen Evenbly, Guifré Vidal

The ability of entanglement renormalization (ER) to generate a proper real-space renormalization group (RG) flow in extended quantum systems is analyzed in the setting of harmonic lattice systems in D =1 and 2 spatial dimensions. A conceptual overview of the steps involved in momentum-space RG is provided and contrasted against the equivalent steps in the real-space setting. The real-space RG flow, as generated by ER, is compared against the exact results from momentum-space RG, including an investigation of a critical fixed point and the effect of relevant and irrelevant perturbations.

A. J. Berlinsky, Amanda Harris

T. Schneider, Marco Zannetti

We demonstrate the equivalence of the real-space renormalization group for critical dynamics, and of the real-space renormalization group for quantum systems through the mapping of the master equation onto an imaginary-time Schr\"odinger equation, defining the quantum system.

K. A. Penson, Rémi Jullien, Pierre M. Pfeuty +1 more