A Theoretical Model of Quantum Coherence in Periodontal Low-Level Laser Therapy Using a Biological Hamiltonian

This repository contains simulation data and code supporting the theoretical model presented in the manuscript \"A Theoretical Model of Quantum Coherence in Periodontal Low-Level Laser Therapy Using a Biological Hamiltonian.\" The study investigates quantum effects in low-level laser therapy (LLLT) applied to periodontal tissues using a two-level system (TLS) framework, rooted in open quantum systems theory. The model simulates laser-driven excitations and decoherence, incorporating clinically relevant LLLT parameters (e.g., wavelengths 600-1000 nm, fluences 1-10 J/cm², Rabi frequencies Ω = [0.05, 0.1, 0.2, 0.5] MHz, decoherence rates γ = [0.05, 0.1, 0.2] MHz) to predict coherence timescales and energy transfer efficiencies. Data includes steady-state populations, coherence decay fits, and time-series outputs, while code (Jupyter notebooks and Python scripts) enables replication using QuTiP, NumPy, Pandas, and Matplotlib. The uploaded files comprise raw data (e.g., TLS_HAMILTONIAN_SIMULATION_DATA.xlsx, fig1_population_evolution_data.xlsx), derived datasets (e.g., tls_steady_state_populations.xlsx), and analysis scripts (e.g., STEADY-STATE_POPULATIONS_COHERENCE_DECAY_FITTING_TIME-SERIES_ANALYSIS.ipynb, fig1_population_evolution.py), accompanied by a README.md for usage instructions. This work bridges quantum physics and clinical periodontology, offering a foundation for future experimental validation.