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We consider the approach where two independently thermalized semi-infinite systems, with temperatures $T_{\\rm L}$ and $T_{\\rm R}$, are connected along a $d-1$-dimensional hypersurface. A current-carrying steady state, described by thermally distributed modes with temperatures $T_{\\rm L}$ and $T_{\\rm R}$ for left and right-moving modes, respectively, emerges at late times. The non-equilibrium density matrix is the exponential of a non-local conserved charge. 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J. Bhaseen","submitted_at":"2014-09-23T16:34:09Z","abstract_excerpt":"We construct non-equilibrium steady states in the Klein-Gordon theory in arbitrary space dimension $d$ following a local quench. We consider the approach where two independently thermalized semi-infinite systems, with temperatures $T_{\\rm L}$ and $T_{\\rm R}$, are connected along a $d-1$-dimensional hypersurface. A current-carrying steady state, described by thermally distributed modes with temperatures $T_{\\rm L}$ and $T_{\\rm R}$ for left and right-moving modes, respectively, emerges at late times. The non-equilibrium density matrix is the exponential of a non-local conserved charge. 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