In this talk, I will discuss the role of emergent symmetries for energy
transport through microscopic networks with active gain and loss sites.
Despite its simplicity, such a network exhibits a range of anomalous
transport phenomena, which arise from the competition between coherent
and incoherent processes in combination with non-linear saturation
effects. Specifically, I will show that such networks exhibit a
non-equilibrium phase transition between a noise-dominated and a
coherent transport regime. This transition is closely related to the
phenomenon of PT-symmetry breaking in balanced gain-loss systems,
but occurs more generally, even in systems where this symmetry is not
reflected in the underlying equations of motion. Therefore, this
mechanism has practical consequences for the distribution of energy over
microwave, optical or phononic channels, in particular close to or at
the quantum limit.
|Content of the contribution||Theory|