Seminars in Condensed Matter Physics
Prerequisiti
Previous knowledge at the level of an introductory course in condensed matter physics is required.
Programma
The course will cover selected topics in condensed matter physics through a series of talks in which course professors and invited speakers will present and discuss recent advancements in the field.
It will include the following series of talks on:
Non-equilibrium Bose-Einstein condensation and superfluidity in fluids of atoms and of light, Iacopo Carusotto (INO-CNR BEC and Physics Department, University of Trento) - 12 hours (January-March 2024)
1. Non-equilibrium Bose-Einstein condensation vs. thermal equilibrium: analogies and differences with laser operation
2. Mean-field theory and generalized Gross-Pitaevskii equations. Analogies with classical nonlinear optics: Lugiato-Lefever equation, Lamb's semiclassical laser theory, pattern formation in nonlinear dynamical systems.
3. Phenomenology of superflud light: basic phenomena and novel non-equilibrium effects
4. Quantum hydrodynamics of quantized sound waves: spontaneous emission of entangled phonon pairs and analog black holes.
5. Synthetic magnetic fields: topological bulk bands and chiral edge states. BEC in topological states vs. topological lasing.
Transport in mesoscopic strongly interacting systems, Alessandro Braggio (NEST, CNR-NANO, Pisa) - 12 hours (January-March 2024)
1. Coulomb blockade systems (QD physics, Golden rule, Master equation simple solutions, Transport in QD systems, Coulomb oscillations and Coulomb staircases)
2. Master Equation formal approach (current, noise and higher-order cumulants, Full Counting statistics)
3. Computation with formal solvers (Example of computation of noise in Coulomb blockade systems)
4. Wangsness-Bloch-Redfield (WBR) master equation (Markov approximation, Superoperator formalism, n-resolved master equation)
5. T-matrix approach (Golden rule and high order processes, cotunnelling effects in QD)
6. Keldysh contour and open systems (Keldysh contour,Caldeira Lègget model, Spectral density)
7. Advanced: Non-Markovian Master equations and generalised approach with example
As a proficiency test for the course, first year PhD students should present a seminar on a topic related to those covered in the series of talks, while second year PhD students should present a seminar on a topic related to their own PhD research project
Obiettivi formativi
To get acquainted with selected advanced topics in condensed matter physics through series of talks. To learn about current research efforts via tutorial and topical seminars.