Impacto
Downloads
Downloads per month over past year
Creffield, Charles E. and Sierra, G. (2015) Finding zeros of the Riemann zeta function by periodic driving of cold atoms. Physical review A, 91 (6). ISSN 1050-2947
Preview |
PDF
502kB |
Official URL: http://dx.doi.org/10.1103/PhysRevA.91.063608
Abstract
The Riemann hypothesis, which states that the nontrivial zeros of the Riemann zeta function all lie on a certain line in the complex plane, is one of the most important unresolved problems in mathematics. We propose here an approach to finding a physical system to study the Riemann zeros, which is based on applying a time-periodic driving field. This driving allows us to tune the quasienergies of the system (the analog of the eigenenergies for static systems), so that they are directly governed by the zeta function. We further show by numerical simulations that this allows the Riemann zeros to be measured in currently accessible cold- atom experiments.
Item Type: | Article |
---|---|
Additional Information: | ©2015 American Physical Society. |
Uncontrolled Keywords: | Optics; Physics, Atomic, Molecular & Chemical |
Subjects: | Sciences > Physics > Materials Sciences > Physics > Solid state physics |
ID Code: | 32916 |
Deposited On: | 28 Aug 2015 09:20 |
Last Modified: | 08 Feb 2018 15:06 |
Origin of downloads
Repository Staff Only: item control page