Dissipation in spin chains using quantized nonequilibrium thermodynamics

We investigate the open dynamics of a chain interacting spins using quantized version general equation for nonequilibrium reversible-irreversible coupling from classical out-of-equilibrium thermodynamics. focus on both equilibrium and scenarios chains different sizes. Whereas in case we demonstrate thermal equilibration to correct many-body Gibbs density matrix, show ballistic-to-diffusive transition steady-state energy current scaling that is consistent with Fourier's law heat transfer.