Skip to content

thesombady/Bachelor-Thesis

Folders and files

NameName
Last commit message
Last commit date

Latest commit

 

History

77 Commits
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Repository files navigation

My journey

I have been working on loads of small projects corresponding to course-work and self-interest in python, which can be viewed in my public repositories. A few of my larger projects include: Newton Fractals, Sacra, and Bachelor-Thesis, were one is a course-work, Newton Fractals, one is of own self-interest, Sacra, and lastly the Bachelor-Thesis project is that which means to examinate my learnings in the bachelor program of physiscs at Lund University.

Bachelor Thesis

Bachelor-thesis project for Andreas Evensen at Lund University. This project involves simulations for a three-level maser, built upon the quantum treatment of electromagnetic field and light-fields.

Problem

The program is used to solve, by the Runge-Kutta method, the following equation,

$$ \dot{\rho} = \frac{1}{\hbar}\Big[\hat{H}, \hat{\rho}\Big] + \sum_{i\in{c, h}}\mathcal{L_i}[\hat{\rho}] $$

Note, there is no minus, could just not render without it. Furthermore, the density matrix is of pure-states, such that the standards relationships holds. Therefore, it's easy to extract the entropy of the system, which can be related to the state of the system evolution.

Outline

The problem is solved in terms of compressed indices, where then the density operator, rho, is a square matrix. Hence, each element of the density operator/matrix, is computed and then retransformed into a operator. Therefore, the program itself is slow, simply because it's not possible to do concurrent calculations with iterative method.

Moreover, the program itself has specific description. If used, read the description to fully understand what each element does.

Disclaimer

This work is done on request of the thesis supervisor. This program will be updating until the end of the simulation period, which may be the entire thesis duration!

About

Bachelor-thesis project for Andreas Evensen.

Resources

License

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published

Languages