Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Purcell-enhanced optical refrigeration

Peng Ju1,*, Kunhong Shen1,*, Stefan Püschel2, Yuanbin Jin1, Hiroki Tanaka2, and Tongcang Li1,3,4,5,†

  • *These authors contributed equally to this work.
  • †Contact author: tcli@purdue.edu

Phys. Rev. Research 8, 023149 – Published 11 May, 2026

DOI: https://doi.org/10.1103/d7pk-hsry

Abstract

Optical refrigeration of solids with anti-Stokes fluorescence has been widely explored as a vibration-free cryogenic cooling technology. A minimum temperature of 87 K has been demonstrated with rare-earth-ion-doped crystals using optical refrigeration. However, the depletion of the upper-lying energy levels in the ground-state manifold hinders further cooling to below the liquid nitrogen (LN2) temperatures, restricting its applications. In this work, we introduce a Purcell-enhanced optical refrigeration method to circumvent this limitation. This approach enhances the emission of high-energy photons by coupling the emitters to an optical cavity, blueshifting the mean emission wavelength. Such Purcell-enhanced emission facilitates cooling starting from a lower-energy level in the ground-state manifold, which exhibits a higher occupation below the LN2 temperatures. Using experimentally measured optical coefficients, our theoretical analysis predicts a minimum achievable internal temperature of about 38 K for a Yb3+:YLiF4 nanocrystal near a cavity under realistic conditions. The proposed method is applicable to other rare-earth-ion-doped materials and semiconductors and will have applications in creating superconducting and other quantum devices through solid-state cooling.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. M. Sheik-Bahae and R. I. Epstein, Optical refrigeration, Nat. Photon. 1, 693 (2007).
  2. D. V. Seletskiy, R. Epstein, and M. Sheik-Bahae, Laser cooling in solids: Advances and prospects, Rep. Prog. Phys. 79, 096401 (2016).
  3. R. I. Epstein, M. I. Buchwald, B. C. Edwards, T. R. Gosnell, and C. E. Mungan, Observation of laser-induced fluorescent cooling of a solid, Nature (London) 377, 500 (1995).
  4. J. Zhang, D. Li, R. Chen, and Q. Xiong, Laser cooling of a semiconductor by 40 kelvin, Nature (London) 493, 504 (2013).
  5. B. Topper, S. Kuhn, A. Neumann, A. R. Albrecht, A. S. Flores, D. Hässner, S. Hein, C. Hupel, J. Nold, N. Haarlammert, T. Schreiber, M. Sheik-Bahae, and A. Mafi, Laser cooling ytterbium doped silica by 67 K from ambient temperature, Opt. Express 32, 3660 (2024).
  6. C. W. Hoyt, M. P. Hasselbeck, M. Sheik-Bahae, R. I. Epstein, S. Greenfield, J. Thiede, J. Distel, and J. Valencia, Advances in laser cooling of thulium-doped glass, J. Opt. Soc. Am. B 20, 1066 (2003).
  7. S. Rostami, A. R. Albrecht, A. Volpi, and M. Sheik-Bahae, Observation of optical refrigeration in a holmium-doped crystal, Photon. Res. 7, 445 (2019).
  8. A. T. M. A. Rahman and P. F. Barker, Laser refrigeration, alignment and rotation of levitated Yb3+:YLF nanocrystals, Nat. Photon. 11, 634 (2017).
  9. M. Hua and R. S. Decca, Optical refrigeration on cadmium selenide/cadmium sulfide quantum dots, Sci. Rep. 15, 13286 (2025).
  10. A. Pant, X. Xia, E. J. Davis, and P. J. Pauzauskie, Solid-state laser refrigeration of a composite semiconductor Yb:YLiF4 optomechanical resonator, Nat. Commun. 11, 3235 (2020).
  11. S. Dadras, K. Shayan, D. R. Luntz-Martin, R. G. Felsted, P. J. Pauzauskie, and A. N. Vamivakas, Thermometry of solid-state laser refrigeration using NV− centers in nanodiamonds, in OSA Quantum 2.0 Conference (Optica Publishing Group, Washington, DC, 2020), p. QW6A.18.
  12. M. P. Hehlen, J. Meng, A. R. Albrecht, E. R. Lee, A. Gragossian, S. P. Love, C. E. Hamilton, R. I. Epstein, and M. Sheik-Bahae, First demonstration of an all-solid state optical cryocooler, Light: Sci. Appl. 7, 15 (2018).
  13. J. L. Kock, A. R. Albrecht, R. I. Epstein, and M. Sheik-Bahae, Optical refrigeration of payloads to <125 K, Opt. Lett. 47, 4720 (2022).
  14. P. B. Roder, B. E. Smith, X. Zhou, M. J. Crane, and P. J. Pauzauskie, Laser refrigeration of hydrothermal nanocrystals in physiological media, Proc. Natl. Acad. Sci. USA 112, 15024 (2015).
  15. D. R. Luntz-Martin, R. G. Felsted, S. Dadras, P. J. Pauzauskie, and A. N. Vamivakas, Laser refrigeration of optically levitated sodium yttrium fluoride nanocrystals, Opt. Lett. 46, 3797 (2021).
  16. C. Laplane, P. Ren, R. P. Roberts, Y. Lu, and T. Volz, Inert shell coating for enhanced laser refrigeration of nanoparticles: Application in levitated optomechanics, ACS Photon. 11, 963 (2024).
  17. J. Ahn, Z. Xu, J. Bang, P. Ju, X. Gao, and T. Li, Ultrasensitive torque detection with an optically levitated nanorotor, Nat. Nanotechnol. 15, 89 (2020).
  18. U. Delić, M. Reisenbauer, K. Dare, D. Grass, V. Vuletić, N. Kiesel, and M. Aspelmeyer, Cooling of a levitated nanoparticle to the motional quantum ground state, Science 367, 892 (2020).
  19. A. Volpi, J. Meng, A. Gragossian, A. R. Albrecht, S. Rostami, A. D. Lieto, R. I. Epstein, M. Tonelli, M. P. Hehlen, and M. Sheik-Bahae, Optical refrigeration: The role of parasitic absorption at cryogenic temperatures, Opt. Express 27, 29710 (2019).
  20. S. D. Melgaard, A. R. Albrecht, M. P. Hehlen, and M. Sheik-Bahae, Solid-state optical refrigeration to sub-100 kelvin regime, Sci. Rep. 6, 20380 (2016).
  21. B. Keimer, S. A. Kivelson, M. R. Norman, S. Uchida, and J. Zaanen, From quantum matter to high-temperature superconductivity in copper oxides, Nature (London) 518, 179 (2015).
  22. X. Liu and M. C. Hersam, 2D materials for quantum information science, Nat. Rev. Mater. 4, 669 (2019).
  23. M. Notomi, Manipulating light with strongly modulated photonic crystals, Rep. Prog. Phys. 73, 096501 (2010).
  24. B. Romeira and A. Fiore, Purcell effect in the stimulated and spontaneous emission rates of nanoscale semiconductor lasers, IEEE J. Quantum Electron. 54, 1 (2018).
  25. X. Ma, Y. Fu, A. Portniagin, N. Yang, D. Liu, A. L. Rogach, J.-G. Dai, and D. Lei, Effects of Stokes shift and Purcell enhancement on fluorescence-assisted radiative cooling, J. Mater. Chem. A 10, 19635 (2022).
  26. B. Casabone, C. Deshmukh, S. Liu, D. Serrano, A. Ferrier, T. Hümmer, P. Goldner, D. Hunger, and H. de Riedmatten, Dynamic control of Purcell enhanced emission of erbium ions in nanoparticles, Nat. Commun. 12, 3570 (2021).
  27. L. Yang, S. Wang, M. Shen, J. Xie, and H. X. Tang, Controlling single rare earth ion emission in an electro-optical nanocavity, Nat. Commun. 14, 1718 (2023).
  28. D. Timmerman, Y. Matsude, Y. Sasaki, S. Ichikawa, J. Tatebayashi, and Y. Fujiwara, Purcell-effect-enhanced radiative rate of Eu3+ ions in GaN microdisks, Phys. Rev. Appl. 14, 064059 (2020).
  29. J. D. Thompson, T. G. Tiecke, N. P. de Leon, J. Feist, A. V. Akimov, M. Gullans, A. S. Zibrov, V. Vuletić, and M. D. Lukin, Coupling a single trapped atom to a nanoscale optical cavity, Science 340, 1202 (2013).
  30. T. G. Tiecke, J. D. Thompson, N. P. de Leon, L. R. Liu, V. Vuletić, and M. D. Lukin, Nanophotonic quantum phase switch with a single atom, Nature (London) 508, 241 (2014).
  31. M. Wolke, J. Klinner, H. Keßler, and A. Hemmerich, Cavity cooling below the recoil limit, Science 337, 75 (2012).
  32. C. Lv, M. Zhu, S. Banerjee, and C. L. Hung, Nanophotonic cavity cooling of a single atom, Phys. Rev. A 108, 023120 (2023).
  33. J. Lyne, N. S. Bassler, S. Park, G. Pupillo, and C. Genes, Purcell-modified Doppler cooling of quantum emitters inside optical cavities, Phys. Rev. A 110, 013115 (2024).
  34. R. Kroeze, B. Marsh, K. Lin, J. Keeling, and B. Lev, High cooperativity using a confocal-cavity–QED microscope, PRX Quantum 4, 020326 (2023).
  35. M. Albrechtsen, B. Vosoughi Lahijani, R. E. Christiansen, V. T. H. Nguyen, L. N. Casses, S. E. Hansen, N. Stenger, O. Sigmund, H. Jansen, J. Mørk, and S. Stobbe, Nanometer-scale photon confinement in topology optimized dielectric cavities, Nat. Commun. 13, 6281 (2022).
  36. G. Kountouris, J. Mørk, E. V. Denning, and P. T. Kristensen, Modal properties of dielectric bowtie cavities with deep sub-wavelength confinement, Opt. Express 30, 40367 (2022).
  37. P. Ju, Y. Jin, K. Shen, Y. Duan, Z. Xu, X. Gao, X. Ni, and T. Li, Near-field GHz rotation and sensing with an optically levitated nanodumbbell, Nano Lett. 23, 10157 (2023).
  38. L. Magrini, R. A. Norte, R. Riedinger, I. Marinković, D. Grass, U. Delić, S. Gröblacher, S. Hong, and M. Aspelmeyer, Near-field coupling of a levitated nanoparticle to a photonic crystal cavity, Optica 5, 1597 (2018).
  39. Y. Feng, Y. Sato, T. Inoue, M. Liu, S. Chiashi, R. Xiang, K. Suenaga, and S. Maruyama, Drastically reduced thermal conductivity of self-bundled single-walled carbon nanotube, Carbon 201, 433 (2023).
  40. S. Rechnitz, T. Tabachnik, M. Shlafman, S. Shlafman, and Y. E. Yaish. Mode coupling bi-stability and spectral broadening in buckled carbon nanotube mechanical resonators, Nat. Commun. 13, 5900 (2022).
  41. X. Gao, S. Vaidya, S. Dikshit, P. Ju, K. Shen, Y. Jin, S. Zhang, and T. Li, Nanotube spin defects for omnidirectional magnetic field sensing, Nat. Commun. 15, 7697 (2024).
  42. S. Püschel, S. Kalusniak, C. Kränkel, and H. Tanaka, Temperature-dependent radiative lifetime of Yb:YLF: Refined cross sections and potential for laser cooling, Opt. Express 29, 11106 (2021).
  43. S. Püschel, F. Mauerhoff, C. Kränkel, and H. Tanaka, Laser cooling in Yb:KY3F10: A comparison with Yb:YLF, Opt. Express 30, 47235 (2022).
  44. C. W. Hoyt, Laser cooling in thulium-doped solids, Ph.D. thesis, University of New Mexico, 2003.
  45. Y. Jin, K. Shen, P. Ju, X. Gao, C. Zu, A. J. Grine, and T. Li, Quantum control and Berry phase of electron spins in rotating levitated diamonds in high vacuum, Nat. Commun. 15, 5063 (2024).
  46. X. Gao, S. Vaidya, K. Li, Z. Ge, S. Dikshit, S. Zhang, P. Ju, K. Shen, Y. Jin, Y. Ping, and T. Li, Single nuclear spin detection and control in a van der Waals material, Nature (London) 643, 943 (2025).
  47. D. Stewart, G. Ortiz, P. M. Kogge, R. S. Decca, and T. Li, An industry-academia partnership for advancing quantum frontiers: Perspective from the U.S. center for quantum technologies, Mater. Quantum Technol. 6, 013001 (2026).
  48. P. Ju, K. Shen, S. Püschel, Y. Jin, H. Tanaka, and T. Li, Data for “Purcell-enhanced optical refrigeration” [Data set], Zenodo (2026), https://doi.org/10.5281/zenodo.19047632.
  49. E. M. Purcell, Spontaneous emission probabilities at radio frequencies, Phys. Rev. 69, 37 (1946).
  50. M. Magnozzi, M. Ferrera, L. Mattera, M. Canepa, and F. Bisio, Plasmonics of Au nanoparticles in a hot thermodynamic bath, Nanoscale 11, 1140 (2019).
  51. X. Xu, A. B. Solanki, D. Sychev, X. Gao, S. Peana, A. S. Baburin, K. Pagadala, Z. O. Martin, S. N. Chowdhury, Y. P. Chen, T. Taniguchi, K. Watanabe, I. A. Rodionov, A. V. Kildishev, T. Li, P. Upadhyaya, A. Boltasseva, and V. M. Shalaev, Greatly enhanced emission from spin defects in hexagonal boron nitride enabled by a low-loss plasmonic nanocavity, Nano Lett. 23, 25 (2023).
  52. J. Bang, T. Seberson, P. Ju, J. Ahn, Z. Xu, X. Gao, F. Robicheaux, and T. Li, Five-dimensional cooling and nonlinear dynamics of an optically levitated nanodumbbell, Phys. Rev. Res. 2, 043054 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation