- Open Access
Feedback cooling and thermometry of a single trapped ion using a knife edge
Phys. Rev. A 113, 063717 – Published 11 June, 2026
DOI: https://doi.org/10.1103/mlv7-kpy1
Abstract
We report on a simple and easy to implement method of feedback cooling trapped ions to temperatures below those achievable using only Doppler cooling. Additionally, the feedback cooling results in significantly shorter cooling times. For selected parameters, we demonstrate cooling to temperatures below . The motion of a single ion is monitored in real time, allowing for the generation of a feedback signal that is applied to an auxiliary trap electrode. Motion detection is implemented by imaging the fluorescence photons emitted by the ion onto a knife edge and detecting the transmitted light, a method used so far to cool trapped nanoparticles. The intensity modulation of the fluorescence resulting from the ion motion is used to generate and apply the feedback signal and also to determine the ion temperature. While the method benefits from a high rate of detected scattered photons, which can be a challenge, and which we address by using a parabolic mirror for collecting the fluorescence, we expect the method to also be applicable when using lenses with moderate numerical apertures.
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References (32)
- S. Olmschenk, K. C. Younge, D. L. Moehring, D. N. Matsukevich, P. Maunz, and C. Monroe, Manipulation and detection of a trapped hyperfine qubit, Phys. Rev. A 76, 052314 (2007).
- A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. O. Schmidt, Optical atomic clocks, Rev. Mod. Phys. 87, 637 (2015).
- N. Piro, F. Rohde, C. Schuck, M. Almendros, J. Huwer, J. Ghosh, A. Haase, M. Hennrich, F. Dubin, and J. Eschner, Heralded single-photon absorption by a single atom, Nat. Phys. 7, 17 (2011).
- G. Hétet, L. Slodička, N. Röck, and R. Blatt, Free-space read-out and control of single-ion dispersion using quantum interference, Phys. Rev. A 88, 041804(R) (2013).
- V. Leong, M. A. Seidler, M. Steiner, A. Cere, and C. Kurtsiefer, Time-resolved scattering of a single photon by a single atom, Nat. Commun. 7, 13716 (2016).
- L. Alber, M. Fischer, M. Bader, K. Mantel, M. Sondermann, and G. Leuchs, Focusing characteristics of a parabolic mirror light-matter interface, J. Eur. Opt. Soc.-Rapid Publ. 13, 14 (2017).
- D. J. Wineland and W. M. Itano, Laser cooling of atoms, Phys. Rev. A 20, 1521 (1979).
- D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Quantum dynamics of single trapped ions, Rev. Mod. Phys. 75, 281 (2003).
- D. Budker, D. F. Kimball, and D. P. DeMille, Atomic Physics: An Exploration Through Problems and Solutions (Oxford University Press, New York, 2004).
- F. Diedrich, J. C. Bergquist, W. M. Itano, and D. J. Wineland, Laser cooling to the zero-point energy of motion, Phys. Rev. Lett. 62, 403 (1989).
- G. Morigi, J. Eschner, and C. H. Keitel, Ground state laser cooling using electromagnetically induced transparency, Phys. Rev. Lett. 85, 4458 (2000).
- C. F. Roos, D. Leibfried, A. Mundt, F. Schmidt-Kaler, J. Eschner, and R. Blatt, Experimental demonstration of ground state laser cooling with electromagnetically induced transparency, Phys. Rev. Lett. 85, 5547 (2000).
- M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
- J. Gieseler, J. R. Gomez-Solano, A. Magazzù, I. P. Castillo, L. P. García, M. Gironella-Torrent, X. Viader-Godoy, F. Ritort, G. Pesce, A. V. Arzola, K. Volke-Sepúlveda, and G. Volpe, Optical tweezers—from calibration to applications: A tutorial, Adv. Opt. Photon. 13, 74 (2021).
- P. Bushev, D. Rotter, A. Wilson, F. Dubin, C. Becher, J. Eschner, R. Blatt, V. Steixner, P. Rabl, and P. Zoller, Feedback cooling of a single trapped ion, Phys. Rev. Lett. 96, 043003 (2006).
- P. Bushev, G. Hétet, L. Slodička, D. Rotter, M. A. Wilson, F. Schmidt-Kaler, J. Eschner, and R. Blatt, Shot-noise-limited monitoring and phase locking of the motion of a single trapped ion, Phys. Rev. Lett. 110, 133602 (2013).
- L. Dania, K. Heidegger, D. S. Bykov, G. Cerchiari, G. Araneda, and T. E. Northup, Position measurement of a levitated nanoparticle via interference with its mirror image, Phys. Rev. Lett. 129, 013601 (2022).
- F. Tebbenjohanns, M. Frimmer, A. Militaru, V. Jain, and L. Novotny, Cold damping of an optically levitated nanoparticle to microkelvin temperatures, Phys. Rev. Lett. 122, 223601 (2019).
- G. P. Conangla, F. Ricci, M. T. Cuairan, A. W. Schell, N. Meyer, and R. Quidant, Optimal feedback cooling of a charged levitated nanoparticle with adaptive control, Phys. Rev. Lett. 122, 223602 (2019).
- L. Dania, D. S. Bykov, M. Knoll, P. Mestres, and T. E. Northup, Optical and electrical feedback cooling of a silica nanoparticle levitated in a Paul trap, Phys. Rev. Res. 3, 013018 (2021).
- J. Keller, H. L. Partner, T. Burgermeister, and T. E. Mehlstäubler, Precise determination of micromotion for trapped-ion optical clocks, J. Appl. Phys. 118, 104501 (2015).
- D. J. Berkeland, J. D. Miller, J. C. Bergquist, W. M. Itano, and D. J. Wineland, Minimization of ion micromotion in a Paul trap, J. Appl. Phys. 83, 5025 (1998).
- R. Maiwald, A. Golla, M. Fischer, M. Bader, S. Heugel, B. Chalopin, M. Sondermann, and G. Leuchs, Collecting more than half the fluorescence photons from a single ion, Phys. Rev. A 86, 043431 (2012).
- R. Maiwald, D. Leibfried, J. Britton, J. C. Bergquist, G. Leuchs, and D. J. Wineland, Stylus ion trap for enhanced access and sensing, Nat. Phys. 5, 551 (2009).
- B. Srivathsan, M. Fischer, L. Alber, M. Weber, M. Sondermann, and G. Leuchs, Measuring the temperature and heating rate of a single ion by imaging, New J. Phys. 21, 113014 (2019).
- L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, UK, 1995).
- B. B. Blinov, J. R. N. Kohn, M. J. Madsen, P. Maunz, D. L. Moehring, and C. Monroe, Broadband laser cooling of trapped atoms with ultrafast pulses, J. Opt. Soc. Am. B 23, 1170 (2006).
- B. G. Norton, E. W. Streed, M. J. Petrasiunas, A. Jechow, and D. Kielpinski, Millikelvin spatial thermometry of trapped ions, New J. Phys. 13, 113022 (2011).
- S. Knünz, M. Herrmann, V. Batteiger, G. Saathoff, T. W. Hänsch, and T. Udem, Sub-millikelvin spatial thermometry of a single Doppler-cooled ion in a Paul trap, Phys. Rev. A 85, 023427 (2012).
- V. Rajagopal, J. P. Marler, M. G. Kokish, and B. C. Odom, Trapped ion chain thermometry and mass spectrometry through imaging, Eur. J. Mass Spectrom. 22, 1 (2016).
- M. Rossi, D. Mason, J. Chen, Y. Tsaturyan, and A. Schliesser, Measurement-based quantum control of mechanical motion, Nature (London) 563, 53 (2018).
- A. C. Hughes, R. Srinivas, C. M. Löschnauer, H. M. Knaack, R. Matt, C. J. Ballance, M. Malinowski, T. P. Harty, and R. T. Sutherland, Trapped-ion two-qubit gates with fidelity without ground-state cooling, arXiv:2510.17286.