"Emergence phenomena in quantum materials through tensor networks"

Abstract:

Tensor networks offer a powerful and versatile framework for describing complex quantum and classical many-body systems. They have become essential tools across diverse fields—from condensed-matter physics and quantum gravity to machine learning and quantum computing. I will introduce entanglement and entanglement entropy as the foundational concepts underpinning the success of this framework. We will explore tensor networks as compact and insightful parameterizations of entangled many-body quantum states, and how they enable non-perturbative approaches to investigating emergent phenomena in low-dimensional quantum materials. Special attention will be given to optical excitations in systems such as Mott insulators and unconventional metallic states beyond the Fermi liquid paradigm.

Bio:

Julián Rincón is a Professor of Theoretical Physics at Universidad de los Andes. He had held postdoctoral fellowships in the Tensor Networks Group within the Many Electron Problem Collaboration at the Simons Foundation, Perimeter Institute for Theoretical Physics and Oak Ridge National Laboratory. He received his Ph.D. from Balseiro Institute at Bariloche Atomic Center. His research focuses on tensor networks, machine learning, and entanglement-based methods for quantum many-body systems, quantum field theories, quantum computing, and the non-equilibrium dynamics of quantum matter.