Observable Dirac-type singularities in Berry's phase and the monopole

Details Observable Dirac-type singularities in Berry's phase and the monopole Observable Dirac-type singularities in Berry's phase and the monopole

2001-11-23

arxiv.org/abs/quant-ph/0111123v1

Phys.Rev.Lett. 88 (2002) 100403

Physics

Quantum Physics

12 pages Latex, 3 postscript figures; submitted to Physical Review Letters 15 September 2000; revised 19 November 2001

Scientific paper

10.1103/PhysRevLett.88.100403

The physical reality and observability of 2n\pi Berry phases, as opposed to the usually considered modulo 2\pi topological phases is demonstrated with the help of computer simulation of a model adiabatic evolution whose parameters are varied along a closed loop in the parameter space. Using the analogy of Berry's phase with the Dirac monopole, it is concluded that an interferometer loop taken around a magnetic monopole of strength n/2 yields an observable 2n\pi phase shift, where n is an integer. An experiment to observe the effect is proposed.

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