Jornadas CeFEMA 2019

Session

Condensed Matter Theory

16 Sept 2019, 11:00

Anfiteatro Abreu Faro (Instituto Superior Tecnico, Campus Alameda)

Conveners

Condensed Matter Theory

• Pedro Ribeiro (CeFEMA/IST)

4. Interacting Quantum Matter, Non-Equilibrium and Topology

Prof. Pedro Ribeiro (CeFEMA/IST)

16/09/2019, 11:00

This talk gives an overview of some of the recent work developed at CeFEMA in the area of Condensed Matter Theory.
My goal is to provide an integrated view of the different lines of research and their main motivation, as well as, to present the people working on them and the results they obtained. Finally, I would like to tell you about some of the future directions of our research.

5. Quantum Open Systems with Matrix Product States

Miguel Oliveira

16/09/2019, 11:15

The density matrix renormalization group is one of the most accurate numerical methods applied to the study of 1D quantum many body system. It can be framed as a variational problem by using what is called matrix product states (MPS). Its success is due to the fact that these variational representations exactly target area-law states, which in 1D require but a small number of parameters to be...

6. Disordered topological systems

Miguel Gonçalves

16/09/2019, 11:30

We will discuss topological systems under the influence of disorder effects. We start by briefly introducing the topics of topological and disordered systems. We will then characterize the interplay between topology and disorder (quenched and annealed), providing examples of three different models characterized by the author: the disordered Haldane model, the Haldane-Falicov-Kimball model and...

7. The vortex, the impurity, and the finitude of bound states

João Bráz

16/09/2019, 11:45

We consider the problem of finding the bound-state spectrum of an impurity immersed in a weakly interacting two-dimensional Bose-Einstein condensate supporting a single vortex. We obtain approximate expressions for the energy levels and show that, due to the finite size of the condensate, the impurity can access only a finite number of physical bound states. By virtue of the topological...

8. Tracking Topological Phase Transitions

Syed Tahir Amin

16/09/2019, 12:00

We study the behavior of the fidelity and the Uhlmann connection in one and two- dimensional systems of free fermions with short range [1] as well as long range [2] amplitudes that exhibit non-trivial topological behavior. In particular, we use the fidelity and a quantity closely related to the Uhlmann factor in order to detect phase transitions at zero and finite temperature for topological...