EXAMPLES OF QUANTUM HOLONOMY WITH TOPOLOGY CHANGES

Authors

  • Taksu Cheon Laboratory of Physics, Kochi University of Technology, Tosa Yamada, 782-8502 Kochi
  • Atushi Tanaka Department of Physics, Tokyo Metropolitan University, Hachioji, 192-0397 Tokyo
  • Ondřej Turek Laboratory of Physics, Kochi University of Technology, Tosa Yamada, 782-8502 Kochi

DOI:

https://doi.org/10.14311/AP.2013.53.0410

Abstract

We study a family of closed quantum graphs described by one singular vertex of order n = 4. By suitable choice of the parameters specifying the singular vertex, we can construct a closed path in the parameter space that physically corresponds to the smooth interpolation of different topologies - a ring, separate two lines, separate two rings, two rings with a contact point. We find that the spectrum of a quantum particle on this family of graphs shows quantum holonomy.

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Published

2013-10-24

How to Cite

Cheon, T., Tanaka, A., & Turek, O. (2013). EXAMPLES OF QUANTUM HOLONOMY WITH TOPOLOGY CHANGES. Acta Polytechnica, 53(5), 410–415. https://doi.org/10.14311/AP.2013.53.0410

Issue

Vol. 53 No. 5 (2013)

Section

Articles