Dataset for the study "Quantum Fisher information in rotating fractional-statistics systems"

Overview This repository contains numerical simulation data supporting the research on the metrological potential of rotating quantum gases governed by intermediate Gentile statistics. The dataset comprises calculated Quantum Fisher Information (QFI) values across various parameter spaces, including inverse temperatures (β), rotation frequencies (Ω), total particle numbers (N), and the Gentile maximum occupancy parameter (M). Dataset Structure and File Naming Convention The dataset consists of comma-separated values (.csv) files categorized into two primary parameter-scanning sets: Temperature-Scan Files (qfi_beta_*.csv): Files named according to the pattern qfi_beta_{beta}_N_{N}.csv (e.g., qfi_beta_0.5_N_1000.csv). Contains QFI values computed at fixed inverse temperatures β across a range of Gentile parameters M and rotation frequencies. Rotation-Scan Files (qfi_Omega_*.csv): Files named according to the pattern qfi_Omega_{Omega}_N_{N}.csv (e.g., qfi_Omega_0.5_N_1000.csv). Contains QFI values computed at fixed rotation frequencies Ω (ranging from slow rotation up to the fast-rotation limit Ω / ω → 1 across different temperatures and Gentile parameters M. Data Format Each .csv file contains tabulated data with headers defining the parameters and computed metrics: Columns: Gentile statistics parameter (M) Rows: Rotation frequency (Ω, Omega) or Inverse temperature (β, beta) Cells: Computed QFI normalized relative to the fermionic limit (M = 1). Methodological Background The data was generated by numerically solving the grand-canonical thermodynamic equations for a two-dimensional gas of particles confined in an isotropic harmonic trap. The QFI is evaluated via the thermal variance of the total angular momentum. Usage and Licensing This dataset is made available under the Creative Commons Attribution 4.0 International license (CC-BY 4.0). If you use this data in your research, please cite the corresponding paper: Authors: A. Rovenchak and N. Mykhailyshyn Title: Quantum Fisher information in rotating fractional-statistics systems Journal/Archive: [will be inserted upon publication]