Quantum Optics Seminar: Riemann zeros by Floquet engineering a trapped-ion qubit
Prof. Charles E. Creffield: The non-trivial zeros of the Riemann zeta function are central objects in number theory, and have also attracted the attention of physicists working in random matrix theory and quantum chaos for decades.
Prof. Charles E. Creffield
Group Seminar via Zoom
Fri, July 30 2021, 10:00 am (MEZ)
The non-trivial zeros of the Riemann zeta function are central objects in number theory, and have also attracted the attention of physicists working in random matrix theory and quantum chaos for decades. In this talk I will 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. “Floquet engineering” is employed to design the waveform of the driving so that the tunneling dynamics of the ion is frozen when the driving parameters coincide with a zero of the zeta function. By scanning over the driving amplitude, the locations of the Riemann zeros can be measured experimentally to a high degree of accuracy, providing a physical embodiment of these fascinating mathematical objects in the quantum realm.
1. "Riemann zeros from Floquet engineering a trapped-ion qubit", Ran He, et al., npj Quantum Inf 7, 109 (2021).
2. "Identifying the Riemann zeros by periodically driving a single qubit", Ran He, et al., Phys. Rev. A 101, 043402 (2020).
If you'd like to participate in the seminar, please contact us!