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Title: Equilibration of the planar modes of ultracold two-dimensional ion crystals in a Penning trap

Journal Article · · Physical Review A
ORCiD logo [1]; ORCiD logo [2];  [3];  [4]; ORCiD logo [5];  [3]
  1. Univ. of Colorado, Boulder, CO (United States); OSTI
  2. Univ. of Innsbruck (Austria); Austrian Academy of Sciences, Innsbruck (Austria)
  3. Univ. of Colorado, Boulder, CO (United States)
  4. Univ. of California, San Diego, La Jolla, CA (United States)
  5. National Inst. of Standards and Technology (NIST), Boulder, CO (United States)
+ Show Author Affiliations

In this work, planar thermal equilibration is studied using direct numerical simulations of ultracold two-dimensional ion crystals in a Penning trap with a rotating wall. The large magnetic field of the trap splits the modes that describe in-plane motion of the ions into two branches: high-frequency cyclotron modes dominated by kinetic energy and low-frequency E × B modes dominated by potential energy associated with thermal position displacements. Using an eigenmode analysis we extract the equilibration rate between these two branches as a function of the ratio of the frequencies that characterize the two branches and observe this equilibration rate to be exponentially suppressed as the ratio increases. Under experimental conditions relevant for current work at NIST, the predicted equilibration time is orders of magnitude longer than any relevant experimental timescales. We also study the coupling rate dependence on the initial energy of the planar modes and the number of ions. In addition, we show how increasing the rotating wall strength improves crystal stability. These details of in-plane mode dynamics help set the stage for developing strategies to efficiently cool the in-plane modes and improve the performance of single plane ion crystals for quantum information processing.

Research Organization:
Univ. of California, San Diego, CA (United States); Univ. of Colorado, Boulder, CO (United States)
Sponsoring Organization:
Defense Advanced Research Projects Agency (DARPA); European Union’s Horizon 2020; National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR); USDOE Office of Science (SC)
Grant/Contract Number:
SC0018236; SC0020393
OSTI ID:
1852548
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 2 Vol. 104; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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