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Strongly Correlated Systems of Bosons and Fermions: Many-body phenomena and Numerical Methods (Dr. A. Angelone)

  • Date: Jan 17, 2018
  • Time: 14:00 - 15:00
  • Speaker: Dr. Adriano Angelone
  • IPCMS - Institut de Physique et Chimie des Matériaux, Université de Strasbourg, France
  • Room: New Lecture Hall, Room B 0.32
  • Host: MPQ, Theory Division
Many interesting physical phenomena are connected to strongly correlated systems, which, due to their complexity, cannot usually be studied analitically, making numerical approaches essential.

The development of the latter and the study of the physical scenarios induced by strong correlations are therefore both of great importance. In this context, I will present the results of my numerical investigations of strongly correlated systems: specifically, i) the equilibrium and out-of-equilibrium physics of a class of bosonic Hubbard models with extended-range interactions, relevant for cold atom experiments, as well as ii) the ground-state properties of the fermionic t-J model, a candidate Hamiltonian to describe high-T_c superconductivity, in the presence of two mobile holes. Path Integral Monte Carlo simulations and a Tensor-Network-based variational approach have been chosen as numerical techniques for the two problems, respectively. The main results I will discuss are the demonstration of an out-of-equilibrium superglass state in the bosonic scenario, obtained in the absence of frustration sources in the system, and of a d-wave hole bound state in the t-J model. My investigation of the latter in the 2-hole case is foundational for the application of my approach of choice to other problems, of direct interest for high-T_c superconductivity, where the physical picture is still unclear (such as the t-J model at finite hole density). I will finally illustrate my work on Diagrammatic Monte Carlo, a recently introduced technique for the study of strongly correlated systems of fermions and frustrated spins.

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