%0 Journal Article %A Rivas, Ángel %A Martín-Delgado Alcántara, Miguel Ángel %T Topological heat transport and symmetry-protected boson currents %D 2017 %@ 2045-2322 %U https://hdl.handle.net/20.500.14352/18165 %X The study of non-equilibrium properties in topological systems is of practical and fundamental importance. Here, we analyze the stationary properties of a two-dimensional bosonic Hofstadter lattice coupled to two thermal baths in the quantum open-system formalism. Novel phenomena appear like chiral edge heat currents that are the out-of-equilibrium counterparts of the zero-temperature edge currents. They support a new concept of dissipative symmetry-protection, where a set of discrete symmetries protects topological heat currents, difering from the symmetry-protection devised in closed systems and zero-temperature. Remarkably, one of these currents fows opposite to the decreasing external temperature gradient. As the starting point, we consider the case of a single external reservoir already showing prominent results like thermal erasure efects and topological thermal currents. Our results are experimentally accessible with platforms like photonics systems and optical lattices. %~