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Exploring Quantum Chaos in a Spin 1/2 Atom Driven by a 3D Chaotic Magnetic Field

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2017, Master of Science, Miami University, Physics.
Quantum chaos is a field of research that attempts to introduce chaos theory into quantum mechanics. There has already been a significant body of work on classically chaotic systems viewed through a quantum lens, so we looked at a spin 1/2 atom driven by a 3d chaotic magnetic field. We used mathematical tools such as Lyapunov exponents, Bloch spheres, and correlation functions to analyze the system. We found some mixed results and that it is likely more interesting to use a spin 1 atom.
Perry Rice (Advisor)
Leno Pedrotti (Committee Member)
Samir Bali (Committee Member)
Jennifer Blue (Committee Member)
93 p.

Recommended Citations

Citations

  • Goettemoeller, J. (2017). Exploring Quantum Chaos in a Spin 1/2 Atom Driven by a 3D Chaotic Magnetic Field [Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1501515307045101

    APA Style (7th edition)

  • Goettemoeller, Jared. Exploring Quantum Chaos in a Spin 1/2 Atom Driven by a 3D Chaotic Magnetic Field. 2017. Miami University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=miami1501515307045101.

    MLA Style (8th edition)

  • Goettemoeller, Jared. "Exploring Quantum Chaos in a Spin 1/2 Atom Driven by a 3D Chaotic Magnetic Field." Master's thesis, Miami University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=miami1501515307045101

    Chicago Manual of Style (17th edition)