Nonequilibrium steady state of an open hubbard chain and strict lower bounds on diffusion constants

by Tomaz Prosen

Friday 8 Nov 2013, 14:30 → 15:30 Europe/Rome

In the talk I will sketch an explicit form of a many-body density operator of an open fermionic Hubbard chain strongly driven by markovian incoherent processes localized at the chain ends, for any value of the coupling parameter. The structure of a matrix product form of the solution is encoded in terms of a novel diagrammatic technique, and lacks any obvious connection to algebraic Bethe ansatz. At the end I will show an interesting application for deriving rigorous lower bounds on high-temperature spin and charge diffusion constants in closed, infinite Hubbard chains, via deriving quadratically extensive current-like almost conserved quantities.