"Self-consistent non-equilibrium Green's function approach applied to the study of weakly interacting Bose-Hubbard model" Nicola LoGullo

Self-consistent non-equilibrium Green's function approach applied to the study of weakly interacting Bose-Hubbard model

Dr. Nicola LoGullo
University of Padua, Italy

• Date: Wednesday, 10 February
• Time: 10:30-11:30
• Venue: D015, Level D Lab1

Abstruct:
The recently renewed interest in out-of-equilibrium problems has motivated the development of mathematical tools to tackle them.
In the past decades many-body perturbation theory has widely been used to explore static and dynamical properties of interacting quantum systems at equilibrium or with the assumption of being in a stationary state.
The non-equilibrium Green's function formalism (also known as Keldysh formalism) is the extension of the known equilibrium case
to treat the dynamics of general non-relaxing systems. After an initial overview of the non-equilibrium many-body perturbation theory I will move to introduce some of the most used self-consistent methods based on a closed set of equations, the Hedin's equations, and of a recently proposed version of them which is particularly suitable for numerical implementation.
I will then show an application to study the dynamics of a weakly interacting Bose-Hubbard model.

Hope to see many of you at the seminar.
Quantum Systems Unit