Related papers: Riemann zeros from a periodically-driven trapped ion

Riemann zeros from a periodically-driven trapped ion

URL: http://arxiv.org/abs/2102.06936v1
Date: Sat, 13 Feb 2021 14:33:10 GMT
Title: Riemann zeros from a periodically-driven trapped ion
Authors: Ran He, Ming-Zhong Ai, Jin-Ming Cui, Yun-Feng Huang, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo, G.Sierra, and C.E. Creffield
Abstract summary: Non-trivial zeros of the Riemann zeta function are central objects in number theory. We present an experimental observation of the lowest non-trivial zeros by using a trapped ion qubit in a Paul trap. The waveform of the driving is engineered such that the dynamics of the ion is frozen when the driving parameters coincide with a zero of the real component of the zeta function.
Score: 36.992645836923394
License: http://creativecommons.org/licenses/by-nc-nd/4.0/
Abstract: The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in Random Matrix Theory and Quantum Chaos for decades. Here we present an experimental observation of the lowest non-trivial Riemann zeros by using a trapped ion qubit in a Paul trap, periodically driven with microwave fields. The waveform of the driving is engineered such that the dynamics of the ion is frozen when the driving parameters coincide with a zero of the real component of the zeta function. Scanning over the driving amplitude thus enables the locations of the Riemann zeros to be measured experimentally to a high degree of accuracy, providing a physical embodiment of these fascinating mathematical objects in the quantum realm.

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