Reliability Dynamics in a Two-Site Dissipative Quantum Spin Chain

This dataset contains the source data used to generate Figs. 1–6 in the manuscript“Reliability Dynamics in a Two-Site Dissipative Quantum Spin Chain”. File overview Fig1_extremum_count_map_J_0.1.csv Fig1_extremum_count_map_J_0.3.csv Fig1_extremum_count_map_J_0.5.csvThese files contain the parameter-space data for the extremum-count map of the hazard h(t) in the overdamped regime. Each row corresponds to one parameter point (γ1, γ2) and its associated extremum count. Fig2_two_site_data_J_0.1_ga1_2.5_ga2_1_overdamped.csv Fig2_two_site_data_J_0.5_ga1_3_ga2_0.5_overdamped.csv Fig2_two_site_data_J_0.5_ga1_0.2_ga2_0.5_underdamped.csvThese files provide full time-series data for representative overdamped and underdamped cases of the two-site model. They contain the time grid together with the corresponding reliability R(t) and hazard h(t) obtained from analytical theory, Lindblad master-equation numerics. Fig3_two_cases_t_R_three_values.csvCompact plotting table for the reliability R(t) in the representative underdamped and overdamped cases, including theoretical, numerical, and estimator-based values. Fig4_two_cases_t_h_three_values.csvCompact plotting table for the hazard rate h(t) in the representative underdamped and overdamped cases, including theoretical, numerical, and estimator-based values. Fig5_hazard_var_vs_Ns_three_times.csvData for the variance of the hazard estimator as a function of the sample number Ns at three selected times, t=2.5, t=10, and 17.5. Fig6_k_integer_curves_rootcount_data_J_0.1.csvRoot-count data along integer-k curves for J=0.1, used to analyze the extremum structure and phase-boundary behavior in parameter space. All files are provided in CSV format for ease of reuse and figure reproduction.