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oai:docta.ucm.es:20.500.14352/241232024-09-03T15:21:20Zcom_20.500.14352_14col_20.500.14352_15

Finding zeros of the Riemann zeta function by periodic driving of cold atoms Creffield, Charles Sierra, G. ©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. 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. 2023-06-18T06:46:21Z 2023-06-18T06:46:21Z 2015-06-08 journal article 1050-2947 10.1103/PhysRevA.91.063608 https://hdl.handle.net/20.500.14352/24123 http://dx.doi.org/10.1103/PhysRevA.91.063608 http://journals.aps.org eng FIS2010-21372 FIS2013-41716-P FIS2012-33642 QUITEMAD SEV-2012-0249 open access American Physical Society