Detecting Noncommutative Phase Space by Aharonov-Bohm Effect
arXiv:1502.00420 · doi:10.1103/PhysRevA.90.010102
Abstract
Noncommutative phase space plays an essential role in particle physics and quantum gravity at the Planck scale. However, direct experimental evidence or observation to demonstrate the existence of noncommutative phase space is still lacking.We study a quantum ring in noncommutative phase space based on the Seiberg-Witten map and give the effective magnetic potential and field coming from the noncommutative phase space, which induces the persistent current in the ring. We introduce two variables as two signatures to detect the noncommutative phase space and propose an experimental scheme to detect the noncommutative phase space as long as we measure the persistent current and the external magnetic flux.
12 page2, 2 figures
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Cited by in corpus (10)
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- Time-dependent Aharonov-Bohm effect on the noncommutative space
- Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
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- Klein-Gordon theory in noncommutative phase space
- Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
- Noncommutative Brownian motion
- Big Bang Nucleosynthesis constraints on space-time noncommutativity