Fig. 4
From: Ballistic transport and boundary resistances in inhomogeneous quantum spin chains
Central equilibrium regions in the energy-transport scenario. Effective inverse temperatures: a profile of \({\beta }_{n}^{{\rm{eff}}}\) for \(\gamma =\pi /4\) and several values of time; b profile of \({\beta }_{n}^{{\rm{eff}}}\) at the longest accessible time, \(t=40\), and several values of \(\gamma\). Equilibration tendency: c distance between the three-site reduced density matrices \({\rho }_{n,n+2}(t)\) and \({\rho }_{n,n+2}[{\beta }_{n}^{{\rm{eff}}}(t)]\) for several times and \(\gamma =\pi /4\); d full time-evolution of the distance for four representative sites taken in both halves for \(\gamma =\pi /4\)
