Foto del docente

Elisa Ercolessi

Associate Professor

Dipartimento di Fisica e Astronomia "Augusto Righi"

Academic discipline: FIS/02 Theoretical Physics, Mathematical Models and Methods

Teaching

Dissertation topics suggested by the teacher.

  • Dissertations for Master Degree

Research field:Theoretical Physics

Description:

The techniques of quantum many body systems are at the basis of modern theory of phase transitions and allowed for the understanding of macroscopic effects, such as superconductivity and magnetism. Recent experiments in the realm of nano-technologies (e.g. ultra-cold atoms) have made possible the study of these phenomena also in 1 and 2-dimensional systems, where quantum effects are dominant, leading to the discovery of new "exotic" phases of matter (spin liquids, topological insulators, ...).

The theoretical understanding of these systems needs the simultaneous use of techniques proper of Many Body and Quantum Field Theories and a combination of methods that include exact resolution techniques and numerical simulations. Recently, the study of these systems uses also techniques of the theory of quantum information and computation, based on the entanglement properties of a quantum system.

Typically, a thesis in this field deals with a particular model (of spins/bosons/femrions) in 1 or 2 dimensions, from an analytical point of view and/or with numerical simulations, which is interesting to study for its phase transitions, both static and dynamical, studying the physical properties of the different phases.

Collaborations: other researchers of DIFA, researchers of INF and CNR; researchers from other Italian (Napoli, Bari) and foreign universities (Starsbourg, Grenoble, Swansea)

Duration: 6-8 months

Prerequisites:

Knowledge of quantum field theory and statistical mechanics.  

It is suggested to have attended the classes of: Statistical Mechanics, Statistical Field Theory, Quantum Many Body Theory, Quantum States of Matter and Radiation.