Accessing localization properties of many-body systems with quantum Monte Carlo
Laboratoire de Physique Théorique, Univ. P. Sabatier, Toulouse.
Mon, Jun. 10th 2013, 14:00-15:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
We present results on the localization properties of ground-states of quantum many-body models in a given configuration basis. I will first introduce measures of this localization by defining the corresponding Shannon and Renyi entropies. I will review recent exact results obtained in the literature for spin chains, where sub-leading terms in the scaling of these entropies are found to take an intriguing universal behaviour. I will then present schemes to measure these localization entropies with Quantum Monte Carlo simulations, and will finally show results for 1d and 2d quantum spin systems. \ \ Work done in collaboration with Nicolas Laflorencie and David Luitz