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written by Antje Kohnle
The simulation shows the density matrices for both pure and mixed states of spin-1/2 particles in a Stern-Gerlach Apparatus (SGA). The user is able to orient a non-uniform magnetic field along either the x or z-axis in order to visualize the density matrix for both in the z-basis. Immediately before and after the magnetic field, both spin-up and spin-down (mixed) states are considered where the user can see the density matrix, whose trace is less than 1. Also, the user can see the density matrix for the separated (pure) states whose traces are 1. Both trace conditions are expected for mixed and pure states respectively. There is the ability to show information for either mixed states, pure states or both. Included with the simulation, is a step-by-step explanation of mixed and pure states and how the respective density matrix is calculated, including its trace.

This simulation is part of a collection of animations/simulations for the teaching of concepts in quantum mechanics.
Subjects Levels Resource Types
Quantum Physics
- Foundations and Measurements
= Eigenstates
- General
- Quantum Experiments
- Spin and Finite Dimensional Systems
= Stern-Gerlach Experiment
- Upper Undergraduate
- Collection
- Instructional Material
= Tutorial
Material Category Lab Software Type Ratings
- Articles and Supplements
- Software Exchange
- Simulation
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Intended Users:
Learner
Educator
Formats:
application/javascript
text/html
Access Rights:
Free access
The material is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Restriction:
© 2011 Dr. Antje Kohnle
Keywords:
density matrix, mixed states, pure states, spin 1/2
Record Cloner:
Metadata instance created July 8, 2017 by joseph muse
Record Updated:
March 16, 2018 by Ramon Torres-Isea
Last Update
when Cataloged:
May 18, 2011
ComPADRE is beta testing Citation Styles!

Record Link
AIP Format
A. Kohnle, (2011), WWW Document, (https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html).
AJP/PRST-PER
A. Kohnle, QuVis: Density Matrices for a Two-Level Spin System, (2011), <https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html>.
APA Format
Kohnle, A. (2011, May 18). QuVis: Density Matrices for a Two-Level Spin System. Retrieved August 19, 2018, from https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html
Chicago Format
Kohnle, Antje. QuVis: Density Matrices for a Two-Level Spin System. May 18, 2011. https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html (accessed 19 August 2018).
MLA Format
Kohnle, Antje. QuVis: Density Matrices for a Two-Level Spin System. 2011. 18 May 2011. 19 Aug. 2018 <https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html>.
BibTeX Export Format
@misc{ Author = "Antje Kohnle", Title = {QuVis: Density Matrices for a Two-Level Spin System}, Volume = {2018}, Number = {19 August 2018}, Month = {May 18, 2011}, Year = {2011} }
Refer Export Format

%A Antje Kohnle
%T QuVis: Density Matrices for a Two-Level Spin System
%D May 18, 2011
%U https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html
%O application/javascript

EndNote Export Format

%0 Electronic Source
%A Kohnle, Antje
%D May 18, 2011
%T QuVis: Density Matrices for a Two-Level Spin System
%V 2018
%N 19 August 2018
%8 May 18, 2011
%9 application/javascript
%U https://www.st-andrews.ac.uk/physics/quvis/simulations_html5/sims/DensityMatrix/DensityMatrix.html


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