This web site presents three models for and simulations of quantum spin systems. The models are the Bloch Equations, the Jaynes-Cummings Model, and the Spin-Boson Hamiltonian. For each model there is a highly interactive Java applet and background information. The Jaynes-Cummings and Spin-Boson models include coupling of the two-level system to a boson (harmonic oscillator) field while the Block Equation models the interaction with a wide range of analytic, classical fields.
This work was done as part of an NSF-sponsored REU project.
<a href="https://www.compadre.org/quantum/items/detail.cfm?ID=4203">Ostmeyer, Jared, and Julio Gea-Banaloche. Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions. August 23, 2006.</a>
J. Ostmeyer and J. Gea-Banaloche, Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions (2006), <http://web.archive.org/web/20161103225225/http://comp.uark.edu/~jgeabana/blochapps/>.
Ostmeyer, J., & Gea-Banaloche, J. (2006, August 23). Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions. Retrieved March 19, 2025, from http://web.archive.org/web/20161103225225/http://comp.uark.edu/~jgeabana/blochapps/
Ostmeyer, Jared, and Julio Gea-Banaloche. Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions. August 23, 2006. http://web.archive.org/web/20161103225225/http://comp.uark.edu/~jgeabana/blochapps/ (accessed 19 March 2025).
Ostmeyer, Jared, and Julio Gea-Banaloche. Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions. 2006. 23 Aug. 2006. 19 Mar. 2025 <http://web.archive.org/web/20161103225225/http://comp.uark.edu/~jgeabana/blochapps/>.
@misc{
Author = "Jared Ostmeyer and Julio Gea-Banaloche",
Title = {Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions},
Volume = {2025},
Number = {19 March 2025},
Month = {August 23, 2006},
Year = {2006}
}
%0 Electronic Source %A Ostmeyer, Jared %A Gea-Banaloche, Julio %D August 23, 2006 %T Visualizing Quantum Dynamics: Bloch Spheres and Q-Functions %V 2025 %N 19 March 2025 %8 August 23, 2006 %9 application/java %U http://web.archive.org/web/20161103225225/http://comp.uark.edu/~jgeabana/blochapps/
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