Temperature dependence of the numerically obtained decay rate for a chain with and periodic boundary conditions in the presence of charge noise. The interaction energy is set to . For values of the coupling strength , we obtain approximately the same curve (continuous line). (The inset) Values for on a logarithmic scale demonstrating the proportionality .
Comparison between the numerically computed decay rate and the analytic formulas (17) and (18) for a chain with sites and periodic boundary conditions in the case of charge noise. The dissipation strength is . (a) Dependence on the interaction strength for a fixed temperature . (b) Dependence on the temperature for a fixed interaction strength .
Average decay rate of the doublon states under the influence of current noise for various dissipation strengths as a function of the temperature. The chain consists of sites with periodic boundary conditions, whereas the interaction is .
Numerically obtained decay rate in comparison with the approximations (20)–(22) for a chain with sites and periodic boundary conditions in the case of current noise with strength . The results are plotted as a function of (a) the interaction and the temperature and (b) for a fixed interaction as a function of the temperature.