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 nanotechnologies (e.g. ultracold atoms) have made possible the study of these phenomena also in 1 and 2dimensional 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: 68 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

Superfluidi, BEC e superconduttori
 Approccio geometrico alle tassellazioni e ai quasicristalli
 Dal Microscopico al Macroscopico: concetti e formalismo della Termodinamica Statistica
 Entropia e Informazione in Meccanica Quantistica
 I postulati della meccanica quantistica alla luce della teoria dell'informazione
 Onde non lineari e solitoni
 Quantum Error Correction e Toric Code
 Sistemi quantistici aperti e decoerenza
 Stati coerenti nella luce e nella materia
 Statistica frazionaria e anioni
 Tomografia quantistica :
applicabilità e limiti
 Un approccio semiclassico e quantistico alle oscillazioni di Rabi
 Vorticosità nei condensati di BoseEinstein
Second cycle degree programmes dissertations
 An adaptive scheme for quantum state tomography
 An attempt to understand thermodynamics in 2D in the light of string theory
 Ergodicity and Localization in Zn lattice Schwinger model
 Finitegroup YangMills lattice gauge theories in the Hamiltonian formalism
 Persistent currents in a Fermi gas confined on a ring shaped potential
 Quantum Thermodynamics of a Hubbard Chain Coupled to a Qubit
 Topological Characterization of Twodimensional LongRange PWave Superconductors
 Wavefunctions and correlations of the complex Kitaev model on a finite chain
PhD programmes thesis
 Quantum simulation and topological phases in Lattice Gauge Theories