RT Journal Article
T1 Finding zeros of the Riemann zeta function by periodic driving of cold atoms
A1 Creffield, Charles
A1 Sierra, G.
AB 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.
PB American Physical Society
SN 1050-2947
YR 2015
FD 2015-06-08
LK https://hdl.handle.net/20.500.14352/24123
UL https://hdl.handle.net/20.500.14352/24123
LA eng
NO ©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.
NO MINECO, Spain
NO Severo Ochoa Programme
DS Docta Complutense
RD 7 abr 2025