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arXiv · 1911.05842

Geometric phase through spatial potential engineering

Stefano Cusumano·Antonella De Pasquale·Vittorio Giovannetti
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Abstract

We propose a spatial analog of the Berry's phase mechanism for the coherent manipulation of states of non-relativistic massive particles moving in a two-dimensional landscape. In our construction the temporal modulation of the system Hamiltonian is replaced by a modulation of the confining potential along the transverse direction of the particle propagation. By properly tuning the model parameters the resulting scattering input-output relations exhibit a Wilczek-Zee non-abelian phase shift contribution that is intrinsically geometrical, hence insensitive to the specific details of the potential landscape. A theoretical derivation of the effect is provided together with practical examples.

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Stefano Cusumano, Antonella De Pasquale, Vittorio Giovannetti. 2020-05-19. Geometric phase through spatial potential engineering. https://doi.org/10.1103/physrevlett.124.190401

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