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Title: First principles simulation of ultracold ion crystals in a Penning trap with Doppler cooling and a rotating wall potential

Journal Article · · Physics of Plasmas
DOI: https://doi.org/10.1063/1.5099256 · OSTI ID:1610028

A direct numerical simulation of many interacting ions in a Penning trap with a rotating wall is presented. The ion dynamics is modeled classically. Both axial and planar Doppler laser cooling processes are modeled using stochastic momentum impulses based on two-level atomic scattering rates. The plasmas being modeled are ultracold two-dimensional crystals made up of hundreds of ions. We compare Doppler cooled results directly to a previous linear eigenmodes analysis. Agreement in both frequency and mode structure is obtained. Additionally, when Doppler laser cooling is applied, the laser cooled steady state plasma axial temperature agrees with the Doppler cooling limit. Numerical simulations using the approach described and benchmarked here will provide insights into the dynamics of large trapped-ion crystals, improving their performance as a platform for quantum simulation and sensing.

Research Organization:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
FG02-08ER54954
OSTI ID:
1610028
Alternate ID(s):
OSTI ID: 1543032
Journal Information:
Physics of Plasmas, Vol. 26, Issue 7; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

References (41)

Perpendicular laser cooling of a rotating ion plasma in a Penning trap journal December 1988
Measurement of Screening Enhancement to Nuclear Reaction Rates using a Strongly Magnetized and Strongly Correlated Non-neutral Plasma journal January 2005
Control of the conformations of ion Coulomb crystals in a Penning trap
  • Thompson, R. C.; Mavadia, S.; Goodwin, J. F.
  • NON-NEUTRAL PLASMA PHYSICS IX: 11th International Workshop on Non-Neutral Plasmas, AIP Conference Proceedings https://doi.org/10.1063/1.4923116
conference January 2015
Rapid Heating of a Strongly Coupled Plasma near the Solid-Liquid Phase Transition journal January 2005
Dense Astrophysical Plasmas journal April 1991
Coulomb crystals in the magnetic field journal October 2009
Measurement of Correlation-Enhanced Collision Rates journal May 2009
Statistical physics of dense plasmas: Thermodynamics, transport coefficients and dynamic correlations journal May 1987
Sideband cooling of small ion Coulomb crystals in a Penning trap journal October 2017
Quantum spin dynamics and entanglement generation with hundreds of trapped ions journal June 2016
Phonon-phonon interactions due to non-linear effects in a linear ion trap journal March 2003
Publisher's Note: Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap [Phys. Rev. A 87 , 013422 (2013)] journal February 2013
A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice journal November 2009
Spin dephasing as a probe of mode temperature, motional state distributions, and heating rates in a two-dimensional ion crystal journal March 2014
Modeling near ground-state cooling of two-dimensional ion crystals in a Penning trap using electromagnetically induced transparency journal February 2019
Control of the conformations of ion Coulomb crystals in a Penning trap journal October 2013
Laser cooling of externally produced Mg ions in a Penning trap for sympathetic cooling of highly charged ions journal March 2013
Intrinsic anharmonic effects on the phonon frequencies and effective spin-spin interactions in a quantum simulator made from trapped ions in a linear Paul trap journal November 2014
Long-Range Order in Laser-Cooled, Atomic-Ion Wigner Crystals Observed by Bragg Scattering journal December 1995
Perpendicular laser cooling with a rotating-wall potential in a Penning trap journal April 2016
Site-resolved imaging of beryllium ion crystals in a high-optical-access Penning trap with inbore optomechanics journal May 2019
Evidence for Highly Charged Ion Coulomb Crystallization in Multicomponent Strongly Coupled Plasmas journal January 2001
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins journal April 2012
Amplitude Sensing below the Zero-Point Fluctuations with a Two-Dimensional Trapped-Ion Mechanical Oscillator journal June 2017
Laser cooling of ions stored in harmonic and Penning traps journal January 1982
Measuring out-of-time-order correlations and multiple quantum spectra in a trapped-ion quantum magnet journal May 2017
Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states) journal January 1999
Demonstration of a small programmable quantum computer with atomic qubits journal August 2016
Theory and simulation of ion Coulomb crystal formation in a Penning trap journal November 2013
Quantum simulations with trapped ions journal April 2012
Time-reversible difference procedures journal June 1967
Near Ground-State Cooling of Two-Dimensional Trapped-Ion Crystals with More than 100 Ions journal February 2019
Diamagnetic correction to the 9 Be + ground-state hyperfine constant journal July 2011
Evidence for Highly Charged Ion Coulomb Crystallization in Multicomponent Strongly Coupled Plasmas text January 2001
Laser cooling of externally produced Mg ions in a Penning trap for sympathetic cooling of highly charged ions text January 2012
Perpendicular laser cooling with a rotating wall potential in a Penning trap text January 2016
Demonstration of a small programmable quantum computer with atomic qubits text January 2016
Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet text January 2016
Sideband cooling of small ion Coulomb crystals in a Penning trap text January 2017
Site-resolved imaging of beryllium ion crystals in a high-optical-access Penning trap with inbore optomechanics text January 2018
Phonon-phonon interactions due to non-linear effects in a linear ion trap text January 2002

Cited By (1)

Sideband cooling of the radial modes of motion of a single ion in a Penning trap journal October 2019

Figures / Tables (9)