Jose Julian Jimenez Rincon

This proposal aims to explore ground-state and dynamical properties of quantum many-body systems in the continuum and the discretuum, using quantum entanglement and a set of theoretical tools based on it known as tensor network states.Regarding the continuum, we plan to develop variational classes of ansatzes for the construction of thermal states of quantum field theories in a non-perturbative manner. In contrast to previous field theory treatments; this is a wave functional approach. The way of accomplishing this goal is by importing the success of quantum entanglement in characterizing quantum correlations for lattice systems to the field theory realm.As for the discretuum, our aim is to analyze the quantum dynamics of lattice Hamiltonian systems that can be realized in synthetic and naturally occurring scenarios. We will address this line of research in two different ways: using tensor network methods, which allow the efficient computation of expectation values, and proposing theoretical frameworks to understand the nonequilibrium dynamics of these systems.

This proposal aims to explore ground-state and dynamical properties of quantum many-body systems in the continuum and the discretuum, using quantum entanglement and a set of theoretical tools based on it known as tensor network states.Regarding the continuum, we plan to develop variational classes of ansatzes for the construction of thermal states of quantum field theories in a non-perturbative manner. In contrast to previous field theory treatments; this is a wave functional approach. The way of accomplishing this goal is by importing the success of quantum entanglement in characterizing quantum correlations for lattice systems to the field theory realm.As for the discretuum, our aim is to analyze the quantum dynamics of lattice Hamiltonian systems that can be realized in synthetic and naturally occurring scenarios. We will address this line of research in two different ways: using tensor network methods, which allow the efficient computation of expectation values, and proposing theoretical frameworks to understand the nonequilibrium dynamics of these systems.