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Title: Arrays of individually controlled ions suitable for two-dimensional quantum simulations

A precisely controlled quantum system may reveal a fundamental understanding of another, less accessible system of interest. A universal quantum computer is currently out of reach, but an analogue quantum simulator that makes relevant observables, interactions and states of a quantum model accessible could permit insight into complex dynamics. Several platforms have been suggested and proof-of-principle experiments have been conducted. Here, we operate two-dimensional arrays of three trapped ions in individually controlled harmonic wells forming equilateral triangles with side lengths 40 and 80 μm. In our approach, which is scalable to arbitrary two-dimensional lattices, we demonstrate individual control of the electronic and motional degrees of freedom, preparation of a fiducial initial state with ion motion close to the ground state, as well as a tuning of couplings between ions within experimental sequences. Lastly, our work paves the way towards a quantum simulator of two-dimensional systems designed at will.
Authors:
 [1] ;  [1] ;  [1] ;  [1] ;  [1] ; ORCiD logo [2] ;  [3] ;  [3] ;  [3] ;  [4] ;  [5]
  1. Albert-Ludwigs-Univ. Freiburg, Freiburg (Germany). Physikalisches Inst.
  2. Univ. of Basel (Switzerland). Dept. of Physics
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  4. National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Time and Frequency Division
  5. Albert-Ludwigs-Univ. Freiburg, Freiburg (Germany). Physikalisches Inst.; Albert-Ludwigs-Univ. Freiburg, Freiburg (Germany). Freiburg Inst. for Advanced Studies
Publication Date:
Report Number(s):
SAND-2017-8625J
Journal ID: ISSN 2041-1723; 656199
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 7; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA); German Research Foundation (DFG)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING
OSTI Identifier:
1429826

Mielenz, Manuel, Kalis, Henning, Wittemer, Matthias, Hakelberg, Frederick, Warring, Ulrich, Schmied, Roman, Blain, Matthew, Maunz, Peter, Moehring, David L., Leibfried, Dietrich, and Schaetz, Tobias. Arrays of individually controlled ions suitable for two-dimensional quantum simulations. United States: N. p., Web. doi:10.1038/ncomms11839.
Mielenz, Manuel, Kalis, Henning, Wittemer, Matthias, Hakelberg, Frederick, Warring, Ulrich, Schmied, Roman, Blain, Matthew, Maunz, Peter, Moehring, David L., Leibfried, Dietrich, & Schaetz, Tobias. Arrays of individually controlled ions suitable for two-dimensional quantum simulations. United States. doi:10.1038/ncomms11839.
Mielenz, Manuel, Kalis, Henning, Wittemer, Matthias, Hakelberg, Frederick, Warring, Ulrich, Schmied, Roman, Blain, Matthew, Maunz, Peter, Moehring, David L., Leibfried, Dietrich, and Schaetz, Tobias. 2016. "Arrays of individually controlled ions suitable for two-dimensional quantum simulations". United States. doi:10.1038/ncomms11839. https://www.osti.gov/servlets/purl/1429826.
@article{osti_1429826,
title = {Arrays of individually controlled ions suitable for two-dimensional quantum simulations},
author = {Mielenz, Manuel and Kalis, Henning and Wittemer, Matthias and Hakelberg, Frederick and Warring, Ulrich and Schmied, Roman and Blain, Matthew and Maunz, Peter and Moehring, David L. and Leibfried, Dietrich and Schaetz, Tobias},
abstractNote = {A precisely controlled quantum system may reveal a fundamental understanding of another, less accessible system of interest. A universal quantum computer is currently out of reach, but an analogue quantum simulator that makes relevant observables, interactions and states of a quantum model accessible could permit insight into complex dynamics. Several platforms have been suggested and proof-of-principle experiments have been conducted. Here, we operate two-dimensional arrays of three trapped ions in individually controlled harmonic wells forming equilateral triangles with side lengths 40 and 80 μm. In our approach, which is scalable to arbitrary two-dimensional lattices, we demonstrate individual control of the electronic and motional degrees of freedom, preparation of a fiducial initial state with ion motion close to the ground state, as well as a tuning of couplings between ions within experimental sequences. Lastly, our work paves the way towards a quantum simulator of two-dimensional systems designed at will.},
doi = {10.1038/ncomms11839},
journal = {Nature Communications},
number = ,
volume = 7,
place = {United States},
year = {2016},
month = {6}
}