1 / 27

Factorization with chirped pulses

This work by Wolfgang Schleich from the University of Ulm delves into the phenomena of factorization using chirped pulses, elucidating key concepts such as the Talbot effect, entanglement, and the emergence of Gauss sums. It discusses the scaling properties and conditions necessary for effective factorization, linking this to prime number distributions and the non-trivial zeros of the Riemann zeta function. The interplay of quantum mechanics and number theory is emphasized, highlighting new perspectives in both fields through the lens of chirped pulse interactions.

eris
Télécharger la présentation

Factorization with chirped pulses

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Factorization with chirped pulses Wolfgang Schleich Abteilung für Quantenphysik Universität Ulm

  2. Overview • Talbot effect • Atom and chirped pulse • Gauss sums • Factorization • Entanglement • Riemann zeta function

  3. Talbot effect

  4. Chirped pulse

  5. Atom and chirped pulse

  6. Emergence of Gauss sums

  7. Resummation

  8. Gauss sums

  9. Factorization with chirped pulse

  10. Scaling property Condition for factor new scaling

  11. Factorization with scaling property

  12. Factorization and entanglement

  13. Factorization and entanglement: N=91 Real Part Imaginary Part

  14. Prime number distribution

  15. Riemann zeta function

  16. Prime number distribution and non-trivial zeros

  17. Zeta function and Gauss sum

  18. http://www.physik.uni-ulm.de/quan/book/Zahlen_10-05.pdf • user name: Riemann • password: primenumbers

  19. Summary • Talbot effect • Atom and chirped pulse • Gauss sums • Factorization • Entanglement • Riemann zeta function

More Related