University of Hertfordshire

From the same journal

By the same authors

Documents

  • 1704.08174

    Accepted author manuscript, 2.75 MB, PDF document

View graph of relations
Original languageEnglish
Article number052112
JournalPhysical Review A
Volume95
Issue5
DOIs
Publication statusPublished - 15 May 2017

Abstract

In 2001, Zurek derived the generic minimum scale $a_{Z}$ for the area of structures of Wigner's quantum phase distribution. Here we show by construction, using superoscillatory functions, that the Wigner distribution can locally show regular spotty structures on scales much below Zurek's scale $a_{Z}$. The price to pay for the presence of such structures is their exponential smallness. For the case we construct there is no increased interferometric sensitivity from the presence of patches with superoscillatory structure in phase-space.

Notes

This document is the Accepted Manuscript version of the following article: Maxime Oliva and Ole Steuernagel, 'Structures far below the sub-Planck scale in quantum phase space through superoscillations', PHYSICAL REVIEW A 95, 052112 (2017), DOI: 10.1103/PhysRevA.95.052112, published 15 May 2017. ©2017 American Physical Society.

ID: 11653501