Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum Simulation

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

arXiv
Authors: C. E. Creffield, G. Sierra

Year

2014

Paper ID

46639

Status

Preprint

Abstract Read

~2 min

Abstract Words

121

Citations

N/A

Abstract

The Riemann hypothesis, which states that the non-trivial 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. Inspired by the Pólya-Hilbert conjecture, we propose a new approach to finding a physical system to study the Riemann zeros, which in contrast to previous examples, is based on applying a time-periodic driving field. This driving allows us to mould the quasienergies of the system (the analogue of the eigenenergies in the absence of driving), 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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • The Riemann hypothesis, which states that the non-trivial zeros of the Riemann zeta function all lie on a certain line in the complex plane, is one of the most important...

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.0459 [2] arXiv https://arxiv.org/abs/1411.0459 [3] Publisher https://arxiv.org/abs/1411.0459

Local Citation Graph (Related-Paper Links)

Current Paper #46639 #69978 Distribution Complexity of Elec... #69974 Hierarchical separation of rela... #69964 Bounded-depth spacetime lattice... #69945 Phase Stable Integrated Delay L...

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.