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

Tang, Chen; Meiser, Dominic; Bollinger, John J.; Parker, Scott E.

doi:10.1063/1.5099256

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

Journal Article · Wed Jul 17 00:00:00 EDT 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5099256· OSTI ID:1610028

^[1]; Meiser, Dominic ^[1];

^[2]; Parker, Scott E. ^[1]

Univ. of Colorado, Boulder, CO (United States)
National Inst. of Standards and Technology (NIST), Boulder, CO (United States)

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.

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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

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Cited by: 4 works

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References (41)

Perpendicular laser cooling of a rotating ion plasma in a Penning trap Itano, Wayne M.; Brewer, L. R.; Larson, D. J. Physical Review A, Vol. 38, Issue 11 https://doi.org/10.1103/PhysRevA.38.5698	journal	December 1988
Measurement of Screening Enhancement to Nuclear Reaction Rates using a Strongly Magnetized and Strongly Correlated Non-neutral Plasma Dubin, Daniel H. E. Physical Review Letters, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevLett.94.025002	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 Jensen, M.; Hasegawa, T.; Bollinger, J. Physical Review Letters, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevLett.94.025001	journal	January 2005
Dense Astrophysical Plasmas Van Horn, H. M. Science, Vol. 252, Issue 5004 https://doi.org/10.1126/science.252.5004.384	journal	April 1991
Coulomb crystals in the magnetic field Baiko, D. A. Physical Review E, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevE.80.046405	journal	October 2009
Measurement of Correlation-Enhanced Collision Rates Anderegg, F.; Dubin, D. H. E.; O’Neil, T. M. Physical Review Letters, Vol. 102, Issue 18 https://doi.org/10.1103/PhysRevLett.102.185001	journal	May 2009
Statistical physics of dense plasmas: Thermodynamics, transport coefficients and dynamic correlations Ichimaru, S. Physics Reports, Vol. 149, Issue 2-3 https://doi.org/10.1016/0370-1573(87)90125-6	journal	May 1987
Sideband cooling of small ion Coulomb crystals in a Penning trap Stutter, G.; Hrmo, P.; Jarlaud, V. Journal of Modern Optics, Vol. 65, Issue 5-6 https://doi.org/10.1080/09500340.2017.1376719	journal	October 2017
Quantum spin dynamics and entanglement generation with hundreds of trapped ions Bohnet, J. G.; Sawyer, B. C.; Britton, J. W. Science, Vol. 352, Issue 6291 https://doi.org/10.1126/science.aad9958	journal	June 2016
Phonon-phonon interactions due to non-linear effects in a linear ion trap Marquet, C.; Schmidt-Kaler, F.; James, D. F. V. Applied Physics B: Lasers and Optics, Vol. 76, Issue 3 https://doi.org/10.1007/s00340-003-1097-7	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)] Wang, C. -C. Joseph; Keith, Adam C.; Freericks, J. K. Physical Review A, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevA.87.029901	journal	February 2013
A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice Bakr, Waseem S.; Gillen, Jonathon I.; Peng, Amy Nature, Vol. 462, Issue 7269 https://doi.org/10.1038/nature08482	journal	November 2009
Spin dephasing as a probe of mode temperature, motional state distributions, and heating rates in a two-dimensional ion crystal Sawyer, Brian C.; Britton, Joseph W.; Bollinger, John J. Physical Review A, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevA.89.033408	journal	March 2014
Modeling near ground-state cooling of two-dimensional ion crystals in a Penning trap using electromagnetically induced transparency Shankar, Athreya; Jordan, Elena; Gilmore, Kevin A. Physical Review A, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevA.99.023409	journal	February 2019
Control of the conformations of ion Coulomb crystals in a Penning trap Mavadia, Sandeep; Goodwin, Joseph F.; Stutter, Graham Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3571	journal	October 2013
Laser cooling of externally produced Mg ions in a Penning trap for sympathetic cooling of highly charged ions Andelkovic, Z.; Cazan, R.; Nörtershäuser, W. Physical Review A, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevA.87.033423	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 McAneny, M.; Freericks, J. K. Physical Review A, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevA.90.053405	journal	November 2014
Long-Range Order in Laser-Cooled, Atomic-Ion Wigner Crystals Observed by Bragg Scattering Tan, Joseph N.; Bollinger, J. J.; Jelenkovic, B. Physical Review Letters, Vol. 75, Issue 23 https://doi.org/10.1103/PhysRevLett.75.4198	journal	December 1995
Perpendicular laser cooling with a rotating-wall potential in a Penning trap Torrisi, Steven B.; Britton, Joseph W.; Bohnet, Justin G. Physical Review A, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevA.93.043421	journal	April 2016
Site-resolved imaging of beryllium ion crystals in a high-optical-access Penning trap with inbore optomechanics Ball, H.; Marciniak, Ch. D.; Wolf, R. N. Review of Scientific Instruments, Vol. 90, Issue 5 https://doi.org/10.1063/1.5049506	journal	May 2019
Evidence for Highly Charged Ion Coulomb Crystallization in Multicomponent Strongly Coupled Plasmas Gruber, L.; Holder, J. P.; Steiger, J. Physical Review Letters, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevLett.86.636	journal	January 2001
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins Britton, Joseph W.; Sawyer, Brian C.; Keith, Adam C. Nature, Vol. 484, Issue 7395 https://doi.org/10.1038/nature10981	journal	April 2012
Amplitude Sensing below the Zero-Point Fluctuations with a Two-Dimensional Trapped-Ion Mechanical Oscillator Gilmore, K. A.; Bohnet, J. G.; Sawyer, B. C. Physical Review Letters, Vol. 118, Issue 26 https://doi.org/10.1103/PhysRevLett.118.263602	journal	June 2017
Laser cooling of ions stored in harmonic and Penning traps Itano, Wayne M.; Wineland, D. J. Physical Review A, Vol. 25, Issue 1 https://doi.org/10.1103/PhysRevA.25.35	journal	January 1982
Measuring out-of-time-order correlations and multiple quantum spectra in a trapped-ion quantum magnet Gärttner, Martin; Bohnet, Justin G.; Safavi-Naini, Arghavan Nature Physics, Vol. 13, Issue 8 https://doi.org/10.1038/nphys4119	journal	May 2017
Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states) Dubin, Daniel H. E.; O’Neil, T. M. Reviews of Modern Physics, Vol. 71, Issue 1 https://doi.org/10.1103/RevModPhys.71.87	journal	January 1999
Demonstration of a small programmable quantum computer with atomic qubits Debnath, S.; Linke, N. M.; Figgatt, C. Nature, Vol. 536, Issue 7614 https://doi.org/10.1038/nature18648	journal	August 2016
Theory and simulation of ion Coulomb crystal formation in a Penning trap Asprusten, Martin; Worthington, Simon; Thompson, Richard C. Applied Physics B, Vol. 114, Issue 1-2 https://doi.org/10.1007/s00340-013-5708-7	journal	November 2013
Quantum simulations with trapped ions Blatt, R.; Roos, C. F. Nature Physics, Vol. 8, Issue 4 https://doi.org/10.1038/nphys2252	journal	April 2012
Time-reversible difference procedures Buneman, O. Journal of Computational Physics, Vol. 1, Issue 4 https://doi.org/10.1016/0021-9991(67)90056-3	journal	June 1967
Near Ground-State Cooling of Two-Dimensional Trapped-Ion Crystals with More than 100 Ions Jordan, Elena; Gilmore, Kevin A.; Shankar, Athreya Physical Review Letters, Vol. 122, Issue 5 https://doi.org/10.1103/PhysRevLett.122.053603	journal	February 2019
Diamagnetic correction to the $^{9}$ Be $^{+}$ ground-state hyperfine constant Shiga, N.; Itano, W. M.; Bollinger, J. J. Physical Review A, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevA.84.012510	journal	July 2011
Evidence for Highly Charged Ion Coulomb Crystallization in Multicomponent Strongly Coupled Plasmas Beck, B. R.; Church, D. A.; DeWitt, H. E. The American Physical Society https://doi.org/10.17877/de290r-12109	text	January 2001
Laser cooling of externally produced Mg ions in a Penning trap for sympathetic cooling of highly charged ions Andelkovic, Z.; Cazan, R.; Nörtershäuser, W. arXiv https://doi.org/10.48550/arxiv.1211.2106	text	January 2012
Perpendicular laser cooling with a rotating wall potential in a Penning trap Torrisi, Steven B.; Britton, Joseph W.; Bohnet, Justin G. arXiv https://doi.org/10.48550/arxiv.1602.05144	text	January 2016
Demonstration of a small programmable quantum computer with atomic qubits Debnath, S.; Linke, N. M.; Figgatt, C. arXiv https://doi.org/10.48550/arxiv.1603.04512	text	January 2016
Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet Gärttner, Martin; Bohnet, Justin G.; Safavi-Naini, Arghavan arXiv https://doi.org/10.48550/arxiv.1608.08938	text	January 2016
Sideband cooling of small ion Coulomb crystals in a Penning trap Stutter, G.; Hrmo, P.; Jarlaud, V. arXiv https://doi.org/10.48550/arxiv.1705.08518	text	January 2017
Site-resolved imaging of beryllium ion crystals in a high-optical-access Penning trap with inbore optomechanics Ball, Harrison; Marciniak, Christian D.; Wolf, Robert N. arXiv https://doi.org/10.48550/arxiv.1807.00902	text	January 2018
Phonon-phonon interactions due to non-linear effects in a linear ion trap Marquet, Cyrille; Schmidt-Kaler, Ferdinand; James, Daniel F. V. arXiv https://doi.org/10.48550/arxiv.quant-ph/0211079	text	January 2002

Cited By (1)

Sideband cooling of the radial modes of motion of a single ion in a Penning trap Hrmo, P.; Joshi, M. K.; Jarlaud, V. Physical Review A, Vol. 100, Issue 4 https://doi.org/10.1103/physreva.100.043414	journal	October 2019