A bootstrap framework for equilibrium, nonequilibrium, and disorder
ABSTRACT
In both classical and quantum many-body systems, the ensembles of interest typically have support over a large number of pure states, posing a unique computational challenge for determining their properties. We discuss a bootstrap framework that combines the positivity of probability measures or density matrices with additional defining properties of the ensemble of interest. This framework provides a powerful and efficient method to study classical and quantum systems in equilibrium, nonequilibrium, and disordered settings. Examples include the classical lattice Ising model, the contact process, large N matrix quantum mechanics with or without dissipation, and classical and quantum lattice spin systems with quenched disorder.
