Berry phase for a potential well transported in a homogeneous magnetic field

Details Berry phase for a potential well transported in a homogeneous magnetic field Berry phase for a potential well transported in a homogeneous magnetic field

2000-05-10

arxiv.org/abs/quant-ph/0005037v1

Phys. Lett. A276 (2000), 16-18

Physics

Quantum Physics

5 pages, LaTeX 2e

Scientific paper

10.1016/S0375-9601(00)00608-3

We consider a two-dimensional particle of charge $e$ interacting with a homogeneous magnetic field perpendicular to the plane and a potential well which is transported along a closed loop in the plane. We show that a bound state corresponding to a simple isolated eigenvalue acquires at that Berry's phase equal to $2\pi {\rm sgn} e$ times the number of flux quanta through the oriented area encircled by the loop. We also argue that this is a purely quantum effect since the corresponding Hannay angle is zero.

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