Simulation data for "Monitored Fluctuation Hydrodynamics"

Simulation data for figures 1 and 2 of S. Gopalakrishnan, E. McCulloch, R. Vasseur, "Monitored Fluctuating Hydrodynamics" (https://arxiv.org/abs/2504.02734).This dataset contains trajectory-averaged simulation data from two monitored stochastic models presented in Figures 1 and 2 of Gopalakrishnan et al., 2025. The files include:

monitored_tasep_static_correlator.csv: Trajectory averaged static two-point function data from a monitored totally asymmetric exclusion process as described in Gopalakrishnan et al., 2025. File format:

Column grouped by measurement frequency.

Subcolumns: x (position), corr (two-point function value).

U1_semidirect_Z2_monitoring_posterior_entropy.csv: Trajectory averaged entropy data for the posterior charge distribution after time t = L (system size) for a U(1) ⨁ Z₂ symmetric stochastic lattice gas as described in Gopalakrishnan et al., 2025. File format:

Columns grouped by system size.

Subcolumns: p (measurement frequency), S (posterior entropy).

U1_semidirect_Z2_monitoring_autocorrelator.csv: Trajectory averaged dynamical autocorrelator data for a U(1) ⨁ Z₂ symmetric stochastic lattice gas as described in Gopalakrishnan et al., 2025. File format:

Columns grouped by bond dimension (used for matrix-product-state simulation). 

Subcolumns: t (time), corr (autocorrelation function value), smooth corr (gaussian smoothed autocorrelation function value).

U1_semidirect_Z2_monitoring_full_correlator.csv: Trajectory averaged spatially resolved dynamical two-point function data for a U(1) ⨁ Z₂ symmetric stochastic lattice gas as described in Gopalakrishnan et al., 2025. File format:

Columns grouped by simulation time

Subcolumns: x (position), corr (dynamical two-point function value), smooth corr (gaussian smoothed dynamical two-point function value).

Data are in CSV format. Details on models/simulation parameters are provided in the accompanying article.