Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups

We provide a solution to the problem of determining whether a target pure state can be asymptotically prepared using dissipative Markovian dynamics under fixed locality constraints. Beside recovering existing results for a large class of physically relevant entangled states, our approach has the advantage of providing an explicit stabilization test solely based on the input state and constraints of the problem. Connections with the formalism of frustration-free parent Hamiltonians are discussed, as well as control implementations in terms of a switching output-feedback law.Comment: 11 pages, no figure

Solving the Nose-Hoover thermostat for Nuclear Pasta

In this work we present a calculation of the hamiltonian variables solving the molecular dynamics equations of motion for a system of nuclear matter relevant to the description of nuclear pasta. The temperature is kept fixed by using the Nos\'{e}-Hoover Thermostat and the interaction is modelled via a semiclassical potential depending on both positions and momenta.Comment: 7 pages, 3 figures. Journal of Mathematical Chemistry, in pres