Quantum anholonomy with topology change
Mathematical Physics
2016-08-11 v1 math.MP
Quantum Physics
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.
Cite
@article{arxiv.1302.3803,
title = {Quantum anholonomy with topology change},
author = {Taksu Cheon and Atushi Tanaka and Ondřej Turek},
journal= {arXiv preprint arXiv:1302.3803},
year = {2016}
}
Comments
6 pages, 10 figures