Rapid cooling of the in-plane motion of two-dimensional ion crystals in a Penning trap to millikelvin temperatures

Johnson, Wes; Shankar, Athreya; Zaris, John; Bollinger, John J.; Parker, Scott E.

doi:10.1103/physreva.109.l021102

Title: Rapid cooling of the in-plane motion of two-dimensional ion crystals in a Penning trap to millikelvin temperatures

Journal Article · Tue Feb 27 00:00:00 EST 2024 · Physical Review A

DOI:https://doi.org/10.1103/physreva.109.l021102· OSTI ID:2323310

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^[3]; Parker, Scott E. ^[1]

Univ. of Colorado, Boulder, CO (United States)
Indian Institute of Science, Bangalore (India)
National Inst. of Standards and Technology (NIST), Boulder, CO (United States)

Here, we propose a highly feasible technique with no experimental overhead to rapidly cool the in-plane degrees of freedom of large two-dimensional ion crystals in Penning traps. Through simulations, we demonstrate that our approach enables the in-plane modes to cool down to a temperature of around 1 mK in less than 10 ms. Our technique relies on near-resonant coupling of the poorly cooled in-plane motions and the efficiently cooled out-of-plane motions, and is achieved without introducing additional potentials. The rapid cooling enabled by our approach is in contrast to typical operating conditions, where our simulations of the laser cooling dynamics suggest that the ion crystal's in-plane motion cools very slowly on a timescale of several hundreds of milliseconds, a rate likely slower than experimental heating rates. Our work sets the stage for sub-Doppler laser cooling of the planar motion, and more robust and versatile quantum simulation and quantum sensing experiments with two-dimensional crystals in Penning traps.

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Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0020393

OSTI ID:: 2323310

Journal Information:: Physical Review A, Vol. 109, Issue 2; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (41)

Programmable quantum simulations of spin systems with trapped ions Monroe, C.; Campbell, W. C.; Duan, L. -M. Reviews of Modern Physics, Vol. 93, Issue 2 https://doi.org/10.1103/RevModPhys.93.025001	journal	April 2021
Doppler-cooled ions in a compact reconfigurable Penning trap McMahon, Brian J.; Volin, Curtis; Rellergert, Wade G. Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevA.101.013408	journal	January 2020
Second-Scale $^{9}$ $Be$ $^{+}$ Spin Coherence in a Compact Penning Trap McMahon, Brian J.; Sawyer, Brian C. Physical Review Applied, Vol. 17, Issue 1 https://doi.org/10.1103/PhysRevApplied.17.014005	journal	January 2022
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
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
Scalable Arrays of Micro-Penning Traps for Quantum Computing and Simulation Jain, S.; Alonso, J.; Grau, M. Physical Review X, Vol. 10, Issue 3 https://doi.org/10.1103/PhysRevX.10.031027	journal	August 2020
Trapped-ion quantum error-correcting protocols using only global operations Goodwin, Joseph F.; Brown, Benjamin J.; Stutter, Graham Physical Review A, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevA.92.032314	journal	September 2015
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
Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition Safavi-Naini, A.; Lewis-Swan, R. J.; Bohnet, J. G. Physical Review Letters, Vol. 121, Issue 4 https://doi.org/10.1103/PhysRevLett.121.040503	journal	July 2018
Bang-bang shortcut to adiabaticity in the Dicke model as realized in a Penning trap experiment Cohn, J.; Safavi-Naini, A.; Lewis-Swan, R. J. New Journal of Physics, Vol. 20, Issue 5 https://doi.org/10.1088/1367-2630/aac3fa	journal	May 2018
Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet Shankar, Athreya; Yuzbashyan, Emil A.; Gurarie, Victor PRX Quantum, Vol. 3, Issue 4 https://doi.org/10.1103/PRXQuantum.3.040324	journal	November 2022
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
Measuring the scrambling of quantum information Swingle, Brian; Bentsen, Gregory; Schleier-Smith, Monika Physical Review A, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevA.94.040302	journal	October 2016
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
Phase-coherent sensing of the center-of-mass motion of trapped-ion crystals Affolter, M.; Gilmore, K. A.; Jordan, J. E. Physical Review A, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevA.102.052609	journal	November 2020
Quantum metrology with nonclassical states of atomic ensembles Pezzè, Luca; Smerzi, Augusto; Oberthaler, Markus K. Reviews of Modern Physics, Vol. 90, Issue 3 https://doi.org/10.1103/RevModPhys.90.035005	journal	September 2018
Quantum-enhanced sensing of displacements and electric fields with two-dimensional trapped-ion crystals Gilmore, Kevin A.; Affolter, Matthew; Lewis-Swan, Robert J. Science, Vol. 373, Issue 6555 https://doi.org/10.1126/science.abi5226	journal	August 2021
Sub-Planck phase-space structures and Heisenberg-limited measurements Toscano, F.; Dalvit, D. A. R.; Davidovich, L. Physical Review A, Vol. 73, Issue 2 https://doi.org/10.1103/PhysRevA.73.023803	journal	February 2006
Broadening of the drumhead-mode spectrum due to in-plane thermal fluctuations of two-dimensional trapped ion crystals in a Penning trap Shankar, Athreya; Tang, Chen; Affolter, Matthew Physical Review A, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevA.102.053106	journal	November 2020
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. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5099256	journal	July 2019
Geonium theory: Physics of a single electron or ion in a Penning trap Brown, Lowell S.; Gabrielse, Gerald Reviews of Modern Physics, Vol. 58, Issue 1 https://doi.org/10.1103/RevModPhys.58.233	journal	January 1986
Particle motion in a Penning trap Kretzschmar, M. European Journal of Physics, Vol. 12, Issue 5 https://doi.org/10.1088/0143-0807/12/5/010	journal	September 1991
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
Simple model for the laser cooling of an ion in a Penning trap Thompson, R. C.; Papadimitriou, J. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 33, Issue 17 https://doi.org/10.1088/0953-4075/33/17/317	journal	August 2000
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
A driven, trapped, laser cooled ion cloud: a forced damped oscillator van Eijkelenborg, M. A.; Dholakia, K.; Storkey, M. E. M. Optics Communications, Vol. 159, Issue 1-3 https://doi.org/10.1016/S0030-4018(98)00587-2	journal	January 1999
Dynamics of axialized laser-cooled ions in a Penning trap Phillips, E. S.; Hendricks, R. J.; Abdulla, A. M. Physical Review A, Vol. 78, Issue 3 https://doi.org/10.1103/PhysRevA.78.032307	journal	September 2008
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
Nonneutral ion plasmas and crystals in Penning traps Bollinger, J. J.; Tan, Joseph N.; Itano, Wayne M. Physica Scripta, Vol. T59 https://doi.org/10.1088/0031-8949/1995/T59/048	journal	January 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
Precise control of the global rotation of strongly coupled ion plasmas in a Penning trap Huang, X. -P.; Bollinger, J. J.; Mitchell, T. B. Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872834	journal	May 1998
Normal modes, rotational inertia, and thermal fluctuations of trapped ion crystals Dubin, Daniel H. E. Physics of Plasmas, Vol. 27, Issue 10 https://doi.org/10.1063/5.0021732	journal	October 2020
Equilibration of the planar modes of ultracold two-dimensional ion crystals in a Penning trap Tang, Chen; Shankar, Athreya; Meiser, Dominic Physical Review A, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRevA.104.023325	journal	August 2021
Laser cooling in the Penning trap: an analytical model for cooling rates in the presence of an axializing field Hendricks, R. J.; Phillips, E. S.; Segal, D. M. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, Issue 3 https://doi.org/10.1088/0953-4075/41/3/035301	journal	January 2008
Theory of structural phase transitions in a trapped Coulomb crystal Dubin, Daniel H. E. Physical Review Letters, Vol. 71, Issue 17 https://doi.org/10.1103/PhysRevLett.71.2753	journal	October 1993
Experimental issues in coherent quantum-state manipulation of trapped atomic ions Wineland, D. J.; Monroe, C.; Itano, W. M. Journal of Research of the National Institute of Standards and Technology, Vol. 103, Issue 3 https://doi.org/10.6028/jres.103.019	journal	May 1998
Entanglement and quantum computation with ions in thermal motion Sørensen, Anders; Mølmer, Klaus Physical Review A, Vol. 62, Issue 2 https://doi.org/10.1103/PhysRevA.62.022311	journal	July 2000
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
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
Controlling Two-Dimensional Coulomb Crystals of More Than 100 Ions in a Monolithic Radio-Frequency Trap Kiesenhofer, Dominik; Hainzer, Helene; Zhdanov, Artem PRX Quantum, Vol. 4, Issue 2 https://doi.org/10.1103/PRXQuantum.4.020317	journal	April 2023
Axialization of Laser Cooled Magnesium Ions in a Penning Trap Powell, H. F.; Segal, D. M.; Thompson, R. C. Physical Review Letters, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevLett.89.093003	journal	August 2002

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Title: Rapid cooling of the in-plane motion of two-dimensional ion crystals in a Penning trap to millikelvin temperatures

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