Notebooks on MaxwellBloch

A set of Jupyter Notebooks on the MaxwellBloch package.

MaxwellBloch is a Python package for solving the coupled Maxwell-Bloch equations describing the nonlinear propagation of near-resonant light through thermal atomic vapours.

Examples

Solve the Maxwell-Bloch Equations for a Two-Level System

Weak Gaussian Pulses

Notebook	Output
Weak Pulse through Very Few Atoms
Weak Pulse through Few Atoms
Weak Pulse through Some Atoms
Weak Pulse through More Atoms
Weak Pulse through Few Atoms with Decay
Weak Pulse through Some Atoms with Decay

Weak Square Pulses

Notebook	Output
Weak Square through Few Atoms
Weak Square through Few Atoms with Decay

Weak Continuous

Notebook	Output
Weak CW through Few Atoms
Weak CW through Some Atoms
Weak CW through Few Atoms, Long Time
Weak CW through Some Atoms, Long Time

Solitons

Notebook	Output
0.8π Gaussian Pulse
1.8π Gaussian Pulse
2π Sech Pulse: Self-Induced Transparency
4π Sech Pulse: Breakup
6π Sech Pulse
2π Sech Pulse with Decay
Two 2π Sech Pulse Collision

Solve the Maxwell-Bloch Equations for a Λ-Type System

Notebook	Output
Weak Pulse, No Coupling: Same as Two-Level
Weak Pulse, Some Coupling: Electromagnetically Induced Transparency
Pulse Compression
Storage and Retrieval

Solve the Maxwell-Bloch Equations for a V-Type System

Notebook	Output
0.5π Sech Pulse, 0.5π Coupling
0.5π Sech Pulse, 1.5π Coupling: Simulton
√2π Sech Pulse, √2π Coupling: Simulton
√8π Sech Pulse, √8π Coupling: Double Simulton
√18π Sech Pulse, √18π Coupling: Triple Simulton
Weak CW, √2π Coupling: Optical Surfer
Weak CW, √4π Coupling: Double Optical Surfer

Solve the Maxwell-Bloch Equations for a Ladder-Type System

Notebook	Output
Weak Pulse, Some Coupling, Decay, Detuning

Solve the Optical Bloch Equations

Notebook	Output
Rabi Oscillations in a Two-Level System
Time-Dependent Interaction with a Two-Level System
Two-Level System with Spontaneous Decay
The Lambda-Type Three-Level System

Tutorial

Notebook
00: Solve the Schrödinger Equation for the Two-Level System
01: Solve the Two-Level System with a Time-Dependent Interaction
02: Solve the Optical Bloch Equations with Spontaneous Decay
More on the way…

 Appendices

Notebook	Output
A: Available Time Functions
B: Shifting a Solution to the Fixed Frame of Reference
C: Spectral Analysis