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.
Recent dissertations supervised by the teacher.
First cycle degree programmes dissertations
- A fibre bundle approach to U(1)
symmetries in physics
- Approccio geometrico alle tassellazioni e ai quasicristalli
- Dal Microscopico al Macroscopico: concetti e formalismo della Termodinamica Statistica
- Entropia e Informazione in Meccanica Quantistica
- Entropia Termodinamica e Missing information
- Fasi geometriche: fase di Berry e angolo di Hannay
- Formulazione geometrica delle equazioni di Maxwell
- Il paradosso EPR e la disuguaglianza di Bell
- La teoria Ginzburg-Landau della superconduttività
- Onde non lineari e solitoni
- Quantizzazioni inequivalenti: gli effetti della topologia in meccanica quantistica
- Random Walks Classici e Quantistici
- Simmetrie nel mondo dei quark
- Sistemi quantistici aperti e decoerenza
- Stati coerenti nella luce e nella materia
- Statistica frazionaria e anioni
Second cycle degree programmes dissertations
- An adaptive scheme for quantum state tomography
- Non-local order parameters in one-dimensional spin systems
- On the quantum Entanglement: a geometrical
perspective.
- Persistent currents in a Fermi gas confined on a ring shaped potential
- Stochastic processes for natural evolutionary dynamics of T-cell repertoires
- Topological phases in spin ladders
- Wavefunctions and correlations of the complex Kitaev model on a finite chain
