English

Sympathetic Wigner function tomography of a dark trapped ion

Quantum Physics 2013-05-30 v1

Abstract

A protocol is provided to reconstruct the Wigner function for the motional state of a trapped ion via fluorescence detection on another ion in the same trap. This "sympathetic tomography" of a dark ion without optical transitions suitable for state measurements is based on the mapping of its motional state onto one of the collective modes of the ion pair. The quantum state of this vibrational eigenmode is subsequently measured through sideband excitation of the bright ion. Physical processes to implement the desired state transfer and read-out are derived, and the accomplishment of the scheme for different mass ratios is evaluated.

Keywords

Cite

@article{arxiv.1110.4804,
  title  = {Sympathetic Wigner function tomography of a dark trapped ion},
  author = {Safoura Sadat Mirkhalaf and Klaus Molmer},
  journal= {arXiv preprint arXiv:1110.4804},
  year   = {2013}
}

Comments

8 pages, 5 figures

R2 v1 2026-06-21T19:23:51.239Z