Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange

We present the phase diagram of the $S=1/2$ Heisenberg model on the two leg ladder with cyclic four spin exchange, determined by a combination of Exact Diagonalization and Density Matrix Renormalization Group techniques. We find six different phases and regimes: the rung singlet phase, a ferromagnetic phase, two symmetry broken phases with staggered dimers and staggered scalar chiralities, and a gapped region with dominant vector chirality or collinear spin correlations. We localize the phase transitions and investigate their nature.Comment: 4 pages, 6 figures, REVTeX 4, published versio

Many body physics from a quantum information perspective

The quantum information approach to many body physics has been very successful in giving new insight and novel numerical methods. In these lecture notes we take a vertical view of the subject, starting from general concepts and at each step delving into applications or consequences of a particular topic. We first review some general quantum information concepts like entanglement and entanglement measures, which leads us to entanglement area laws. We then continue with one of the most famous examples of area-law abiding states: matrix product states, and tensor product states in general. Of these, we choose one example (classical superposition states) to introduce recent developments on a novel quantum many body approach: quantum kinetic Ising models. We conclude with a brief outlook of the field.Comment: Lectures from the Les Houches School on "Modern theories of correlated electron systems". Improved version new references adde

Correlating Clinical Scores with Anatomical Electrodes Locations for Assessing Deep Brain Stimulation

International audienceMovement disorders in patients with Parkinson's disease may require functional surgery, when medical therapy isn't effective. In Deep Brain Stimulation (DBS), electrodes are implanted within the brain to stimulate deep structures such as SubThalamic Nucleus (STN). This paper describes successive steps for constructing digital atlases gathering patient's location of electrode contacts and clinical scores. Three motor and three neuro- psychological scores were integrated in the study. Correlations between active contacts localization and clinical data were carried out using an adapted Hierarchical Ascendant Classification and have enabled the extraction of clusters aiming to suggest optimum sites for therapeutic STN DBS. The postero-superior region has been found to be effective for motor score improvement whereas the antero-inferior region revealed noticeable neuro- psychological scores deterioration. Comparison with existing results has shown that such atlases are very promising for understanding phenomena better