1. ABOUT THIS DATASET
---------------------
Title: ScarFinder – Detection of quantum many-body scar trajectories in Quantum Many-Body Dynamics
Creators: Jie Ren, Andrew Hallam, Lei Ying, and Zlatko Papić
Affiliation: School of Physics and Astronomy, University of Leeds
Publication Year: 2025
DOI: https://doi.org/10.5518/1775

Description:
This repository contains numerical data and documentation supporting the publication
"ScarFinder – Detection of quantum many-body scar trajectories in Quantum Many-Body Dynamics"
(PRX Quantum, 2025, Accepted).
The dataset includes processed simulation results and analysis files produced using the ScarFinder.jl
framework for identifying and characterising quantum many-body scar trajectories in constrained spin models.

All numerical data correspond to individual figures in the paper and are organised by figure number.
Each subfolder contains the relevant .dat files and a readme.txt providing figure-specific metadata
(description, file list, and simulation details).

Cite this dataset as:
Ren, Jie (2025): ScarFinder – Detection of quantum many-body scar trajectories in Quantum Many-Body Dynamics.
University of Leeds. [Dataset] https://doi.org/10.5518/1775


2. FOLDER STRUCTURE
-------------------
Each numbered folder corresponds to a figure in the publication:

| Folder | Content summary |
|--------|-----------------|
| Fig2/  | Convergence of scar fidelity vs time-step and deviation parameter α (Fig. 2a,b). |
| Fig3/  | Random-initialization convergence and entanglement entropy spectra (Fig. 3a–d). |
| Fig4/  | Optimal scar dynamics for 2-site PXP Hamiltonian (Fig. 4a,b). |
| Fig5/  | Late-time dynamics for 3-site PXP Hamiltonian (Fig. 5a,b). |
| Fig6/  | Poincaré sections comparing TDVP and ScarFinder trajectories (Fig. 6a,b). |
| Fig7/  | TDVP vs ScarFinder comparison for entanglement and fidelity revivals (Fig. 7b,c). |

Each folder contains:
- Numerical .dat files (plain text, whitespace-delimited)
- A local readme.txt describing the files and methods used for that figure


3. SOFTWARE AND REPRODUCTION
----------------------------
All data were generated using the ScarFinder.jl package developed in the Papić Group
at the University of Leeds. Simulations employ the iTEBD and TDVP algorithms within
the ITensorMPS.jl library (Julia 1.10).
Computation was performed on the Aire HPC cluster at the University of Leeds.

Raw intermediate MPS tensors are not stored, as the results are fully reproducible from the
provided parameters and source code (available upon request).


4. FUNDING AND LICENSING
------------------------
Funding:
- Leverhulme Trust Research Leadership Award RL-2019-015
- EPSRC Grant EP/Z533634/1

Licence:
Unless otherwise stated, all data are made available under the
Creative Commons Attribution 4.0 International Licence (CC BY 4.0)
https://creativecommons.org/licenses/by/4.0/


5. CONTACT
----------
Corresponding author: Jie Ren
Email: J.Ren@leeds.ac.uk
Affiliation: School of Physics and Astronomy, University of Leeds, UK