
Sezione di Fisica
Via Roma, 56
Email: roberto.franzosi@unisi.it
I am an Associate Professor of Mathematical Physics at the Physics section of the Department of Environment, Earth and Physical Sciences at University of Siena, where I teach Analytical Mechanics, Mathematical Physics, and Quantum Mechanics for the Bachelor's program in Physics and Advanced Technologies.
My research interests include topological and geometrical approaches to equilibrium classical phase transitions, and since 2019, quantum information, particularly quantum entanglement and quantum correlation estimation. Regarding the latter, in collaboration with my students, I have proposed an entanglement measure—the Entanglement Distance—based on the Fubini-Study metric, which represents the appropriate distance on the projective Hilbert space of a quantum system.
1. Quantum Information: Geometry of Quantum Systems, Fubini-Study metric, Entanglement Characterization.
2. Classical and Quantum Dynamics: Generalized Coherent States, Time Dependent Variational Principle, Bose-Einstein Condensates, Bose-Hubbard Model, Self-Trapping.
3. Statistical Mechanics: Microcanonical Ensemble, Entropy, Negative Temperatures, Small Systems.
4. Statistical Mechanics: Complex Networks, Complexity Estimation.
5. Statistical Mechanics: Geometric-Topological Approach to Phase-Transitions.