Research Interests

My research is centered in condensed matter theory and statistical mechanics. In general I have in the last few years been working within the area of strongly correlated systems, with an emphasis on understanding the critical properties of such systems. Through a pathintegral description many of the problems can be directly reformulated as a statistical mechanics problem which then can be treated with different techniques. I have worked on a number of problems related to low-dimensional spin systems in particular one-dimensional S=1 and S=1/2 spin chains, investigating the different phases and excitations. Currently I'm focusing on frustration and impurity effects in these systems. A different aspect I find very interesting is disorder effects. I have done some work on the superconductor to insulator transition which is a direct manifestation of a quantum phase transition driven by disorder. What happens to this transition in the presence of a magnetic field is not well understood and relates to localization physics. More recently, I have been working on quantum entanglement. In particular we have been trying to understand how entanglement occurs in quantum spin chains in the presence of impurities. Another topic that I'm quite interested in is cold atoms in optical lattices.

I have an interest in computational physics and numerical methods in general as well as in the application of field theoretical techniques to condensed matter systems, renormalization group techniques, and Bethe ansatz methods.

Some keywords that relates to my research:

Quantum Entanglement
Bose Einstein Condensation
Quantum spin chains - Low dimensional spin systems
Quantum Hall Effect and Localization physics
Quantum phase transitions
(High Tc) Superconductivity
Kondo physics - Quantum impurities
Phase transitions in disordered systems
Spin glasses
Frustrated (quantum) systems
Equilibrium and Non-equilibrium statistical mechanics
Computational physics and numerical methods