Edge Singularities and Quasilong-Range Order in Nonequilibrium Steady States

摘要: The singularities of the dynamical response function are one most remarkable effects in many-body interacting systems. However dimension these divergences only exist strictly at zero temperature, making their observation very difficult cold atomic experimental settings. Moreover presence a finite temperature destroys another feature one-dimensional quantum liquids: real space quasilong-range order which spatial correlation functions exhibit power-law decay. We consider nonequilibrium protocol where two Bose gases prepared either different temperatures or chemical potentials and then joined. show that steady state emerging large times around junction displays edge order.