Liouville's theorem and the second law of thermodynamicsIn classical mechanics, Liouville's theorem states that the phase space density of a system evolving under some Hamiltonian remains constant in time. It is a straightforward proof using Hamilton's equations......

The difficulty of detecting local order in random quantum circuitsRandom quantum circuits have emerged as playgrounds to explore quantum many-body physics and principles of equilibration in quantum dynamical systems. There are two major....

What makes a lattice gauge theory 'gauge invariant' and gives it a 'Gauss law'?

Lattice gauge theories are theories with gauge invariance that are defined on discretized space, i.e., a lattice. One often encounters Hamiltonians in the literature which are called lattice gauge theories