Past colloquia and seminars


Nonequilibrium diagrammatic many-body simulations using quantics tensor trains

General public Thesis defense

The nonequilibrium Green's function formalism provides a versatile and powerful framework for numerical studies of nonequilibrium phenomena in correlated many-body systems. For calculations starting from an equilibrium initial state, a standard approach consists of discretizing the Kadanoff-Baym contour and implementing a causal time-stepping scheme in which the self-energy of the system plays the role of a memory kernel. This approach becomes computationally expensive at long times, because of the convolution integrals and the large amount of computer memory needed to store the Green's functions. A recent idea for the compression of nonequilibrium Green's functions is the quantics tensor train representation. Here, we explore this approach by implementing equilibrium and nonequilibrium simulations of the two-dimensional Hubbard model with a second-order weak-coupling approximation to the self-energy. We show that calculations with compressed two-time functions are possible without any loss of accuracy, and that the quantics tensor train implementation shows a much improved scaling of the computational effort and memory demand with the length of the time contour.

When? 26.01.2024 16:15
Where? PER 08 0.51
Chemin du Musée 3
1700 Fribourg
speaker Murray Matthias
Supervisor Prof. Werner
Contact Département de Physique
Prof. Werner
Chemin du Musée 3
1700 Fribourg