Quantum Matter Simulation

A comprehensive Python package for simulating and analyzing quantum systems, focusing on emergent time dynamics, Ising models, and SYK models.

Project Components

This repository contains several interconnected quantum physics simulation modules:

1. Emergence: Simulates emergent time dynamics in quantum systems with environment coupling based on the Page-Wootters mechanism
2. Ising: Implements 3D Ising model simulations for studying phase transitions
3. SYK: Provides Sachdev-Ye-Kitaev model simulations for exploring quantum chaos
4. Web Application: Streamlit-based interface for running and visualizing simulations

Features

• Quantum System Simulation:

  • Configurable environment coupling
  • Multiple coupling types (XX, ZZ, Mixed)
  • Parameter sweep analysis
  • Initial state analysis
  • Environment size scaling

• Advanced Analysis Tools:

  • Frequency analysis
  • Recurrence dynamics
  • Eigenvalue analysis
  • Entropy calculations
  • Out-of-time-order correlators (OTOCs)

• Interactive Visualizations:

  • Command-line simulation outputs
  • Web interface for interactive analysis
  • Publication-quality plots

Installation

1. Clone the repository:

git clone https://github.com/marcoloco23/quantum.git
cd quantum

2. Install dependencies:

pip install -r requirements.txt
pip install -e .

Usage

Command-Line Simulations

Emergent Time Dynamics

# Sweep coupling strengths
python -m emergence.main sweep --coupling-type xx --min-coupling 0.0 --max-coupling 1.0 --num-points 10

# Compare different coupling types
python -m emergence.main compare --coupling-strength 0.3

# Run advanced analysis (frequency and recurrence)
python -m emergence.main advanced --coupling-strength 0.05

# Analyze different initial states
python -m emergence.main initial --coupling-strength 0.05

# Analyze environment scaling effects
python -m emergence.main env-scaling --max-size 4 --coupling-type xx

Web Application

Launch the interactive web application:

streamlit run app.py

This provides a user-friendly interface for:

• Running 3D Ising model simulations
• Exploring SYK model properties
• Visualizing results dynamically

Project Structure

• emergence/: Page-Wootters mechanism and emergent time simulations

  • main.py: Command-line interface
  • quantum_core.py: Core quantum mechanics functions
  • quantum_simulator.py: Quantum system simulator
  • analysis.py: Analysis tools
  • visualization.py: Plotting functions

• ising/: Ising model implementation

  • ising_simulation.py: Monte Carlo simulations of the 3D Ising model

• syk/: Sachdev-Ye-Kitaev model implementation

  • syk_simulation.py: Random matrix theory approach to quantum chaos

• notebooks/: Jupyter notebooks for research and exploration

  • emergent_time.ipynb: Explorations of emergent time dynamics
  • EntropyInequality.ipynb: Investigations of entropy inequalities
  • distance_matrices.ipynb: Analysis of quantum state distances

• app.py: Streamlit web application for interactive simulations

Contributing

Contributions are welcome! Please feel free to submit a Pull Request.

License

This project is licensed under the MIT License - see the LICENSE file for details.