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arXiv · 1302.3803

Quantum anholonomy with topology change

Taksu Cheon·Atushi Tanaka·Ondřej Turek
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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 sequence of paths 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 the quantum anholonomy.

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Taksu Cheon, Atushi Tanaka, Ondřej Turek. 2013-02-15. Quantum anholonomy with topology change. https://doi.org/10.14311/ap.2013.53.0410

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