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Finding zeros of the Riemann zeta function by periodic driving of cold atoms



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Creffield, Charles E. y Sierra, G. (2015) Finding zeros of the Riemann zeta function by periodic driving of cold atoms. Physical review A, 91 (6). ISSN 1050-2947

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URL Oficial: http://dx.doi.org/10.1103/PhysRevA.91.063608

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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.

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©2015 American Physical Society.
The authors thank Michael Berry for stimulating discussions. C.E.C. was supported by the Spanish MINECO through Grants No. FIS2010-21372 and No. FIS2013-41716-P, and G.S. by Grant No. FIS2012-33642, QUITEMAD, and the Severo Ochoa Programme under Grant SEV-2012-0249.

Palabras clave:Optics; Physics, Atomic, Molecular & Chemical
Materias:Ciencias > Física > Física de materiales
Ciencias > Física > Física del estado sólido
Código ID:32916
Depositado:28 Aug 2015 09:20
Última Modificación:08 Feb 2018 15:06

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