The nonlocality properties of quantum objects are considered for the example of the Aharonov–Bohm and Hanbury Brown-Twiss effects and the Einstein–Podolsky–Rosen paradox.
Two significant principles of the 20th century are the Heisenberg uncertainty principle and the nonlocality principles of the Einstein, Podolsky, Rosen paradox [1]. Both these elements of quantum theory have major physical and philosophical implicatio like Bell’s Theorem and Space-Like Interconnect-edness and Other Collective Coherent Phenomena Involve nonlocality. We also present a discussion of the EPR paradox and other experiments that may demand a nonlocal explanation of the phenomenon they display.
Examples of charged-particle interferometry are descibed whereby isolated magnetic fields—i.e., fields through which the particles do not pass—influence the clustering, as well as spatial distribution, of the particles. The configurations, which combine features characteristic of (i) Aharonov–Bohm and Hanbury Brown–Twiss experiments, and (ii) Aharonov–Bohm and Einstein–Podolsky–Rosen experiments, manifest simultaneously the effects of three distinct kinds of interference: (i) interference, dependent upon optical path length difference, resulting from wavelike propagation of particles; (ii) interference, dependent upon confined magnetic flux, resulting from particle charge and spatial topology; and (iii) interference, dependent upon quantum statistics, resulting from particle indistinguishability under exchange.
We analyze a Hanbury Brown-Twiss geometry in which particles are injected from two independent sources into a mesoscopic conductor in the quantum Hall regime. All partial waves end in different reservoirs without generating any single-particle interference; in particular, there is no single-particle Aharonov-Bohm effect. However, exchange effects lead to two-particle Aharonov-Bohm oscillations in the zero-frequency current cross correlations. We demonstrate that this is related to two-particle orbital entanglement, detected via violation of a Bell inequality. The transport is along edge states and only adiabatic quantum point contacts and normal reservoirs are employed.