- Conference date: 23-25 May 2005
- Location: Rio de Janeiro (Brazil)
Geometric phases are very peculiar features of quantum theory. They arise due to a time dependent variation of a quantum system and can be analyzed in terms of fiber bundles. The influence of the geometric phase, in particular the Berry phase, on an entangled spin‐1/2 system is studied. The Berry phase arises when the system under consideration shows a cyclic and adiabatic time evolution. We discuss in detail the case in which the geometric phase is generated only in one part of the Hilbert space. We are able to cancel the effects of the dynamical phase by using the “spin‐echo” method. We analyze how the Berry phase affects the Bell angles and the maximal violation of a Clauser‐Horne‐Shimony‐Holt‐Bell inequality. We suggest an experimental realization of our setup within neutron interferometry. There it is possible to create entanglement between different degrees of freedom (spin and spatial degree of freedom) for a single neutron. We are currently testing the influence of the geometrical phase on the entangled neutron state.
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