Detecting Noncommutative Phase Space by Aharonov-Bohm Effect

TL;DR

This paper proposes an experimental scheme to detect noncommutative phase space by measuring persistent currents in a quantum ring influenced by noncommutative effects, bridging quantum physics and quantum gravity research.

Contribution

It introduces a method to identify noncommutative phase space through persistent current measurements, utilizing the Seiberg-Witten map for effective magnetic potential derivation.

Findings

Effective magnetic potential and field derived from noncommutative phase space.

Two signatures proposed for detecting noncommutative phase space.

Experimental scheme suggested based on measuring persistent current and magnetic flux.

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.