- Open Access
Probing quantum-coherent dynamics with free electrons
Phys. Rev. Research 8, 033295 – Published 10 September, 2026
DOI: https://doi.org/10.1103/skds-z6c5
Abstract
Recent advances in time-resolved cathodoluminescence have enabled ultrafast studies of single emitters in quantum materials with femtosecond temporal resolution. Here, we develop a quantum theory modeling the dynamics of free electrons interacting with quantum emitters in arbitrary initial states. Our analysis reveals that a free electron can induce transient coherent oscillations in the populations when the system is initially prepared in a coherent superposition of its states. Moreover, the electron energy spectrum exhibits a clear signature of the quantum coherence and sensitivity to the transition frequency of the emitter. These coherence effects manifest themselves as oscillations in the zero-loss peak of the spectral energy loss probability. Our findings pave the way for characterization of quantum-coherent dynamics of individual quantum emitters by electron probes.
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References (40)
- N. Talebi, Near-Field-Mediated Photon–Electron Interactions (Springer International Publishing, Cham, 2019); Interaction of electron beams with optical nanostructures and metamaterials: From coherent photon sources towards shaping the wave function, J. Opt. 19, 103001 (2017).
- A. Polman, M. Kociak, and F. J. García de Abajo, Electron-beam spectroscopy for nanophotonics, Nat. Mater. 18, 1158 (2019).
- F. Hayee, L. Yu, J. L. Zhang, C. J. Ciccarino, M. Nguyen, A. F. Marshall, I. Aharonovich, J. Vučković, P. Narang, T. F. Heinz, and J. A. Dionne, Revealing multiple classes of stable quantum emitters in hexagonal boron nitride with correlated optical and electron microscopy, Nat. Mater. 19, 534 (2020).
- F. J. García de Abajo and M. Kociak, Probing the photonic local density of states with electron energy loss spectroscopy, Phys. Rev. Lett. 100, 106804 (2008).
- A. J. Heinrich, W. D. Oliver, L. M. K. Vandersypen, A. Ardavan, R. Sessoli, D. Loss, A. B. Jayich, J. Fernandez-Rossier, A. Laucht, and A. Morello, Quantum-coherent nanoscience, Nat. Nanotechnol. 16, 1318 (2021).
- I. Aharonovich, D. Englund, and M. Toth, Solid-state single-photon emitters, Nat. Photonics 10, 631 (2016).
- D. D. Awschalom, R. Hanson, J. Wrachtrup, and B. B. Zhou, Quantum technologies with optically interfaced solid-state spins, Nat. Photonics 12, 516 (2018).
- D. Loss and D. P. DiVincenzo, Quantum computation with quantum dots, Phys. Rev. A 57, 120 (1998).
- A. Gover and A. Yariv, Free-electron–bound-electron resonant interaction, Phys. Rev. Lett. 124, 064801 (2020).
- R. Ruimy, A. Gorlach, C. Mechel, N. Rivera, and I. Kaminer, Toward atomic-resolution quantum measurements with coherently shaped free electrons, Phys. Rev. Lett. 126, 233403 (2021).
- Z. Zhao, X.-Q. Sun, and S. Fan, Quantum entanglement and modulation enhancement of free-electron–bound-electron interaction, Phys. Rev. Lett. 126, 233402 (2021).
- B. Zhang, D. Ran, R. Ianconescu, A. Friedman, J. Scheuer, A. Yariv, and A. Gover, Quantum wave-particle duality in free-electron–bound-electron interaction, Phys. Rev. Lett. 126, 244801 (2021).
- B. Zhang, D. Ran, R. Ianconescu, A. Friedman, J. Scheuer, A. Yariv, and A. Gover, Quantum state interrogation using a preshaped free electron wavefunction, Phys. Rev. Res. 4, 033071 (2022).
- R. Ruimy, A. Gorlach, G. Baranes, and I. Kaminer, Superradiant electron energy loss spectroscopy, Nano Lett. 23, 779 (2023).
- K. M. Roccapriore, R. Torsi, J. Robinson, S. Kalinin, and M. Ziatdinov, Dynamic STEM-EELS for single-atom and defect measurement during electron beam transformations, Sci. Adv. 10, eadn5899 (2024).
- W. Lee, L. D. Palmer, T. E. Gage, and S. K. Cushing, Imaging nanoscale carrier, thermal, and structural dynamics with time-resolved and ultrafast electron energy-loss spectroscopy, Chem. Phys. Rev. 6, 041303 (2025).
- M. Taleb, P. H. Bittorf, M. Black, M. Hentschel, W. Sigle, B. Haas, C. Koch, P. A. van Aken, H. Giessen, and N. Talebi, Ultrafast phonon-mediated dephasing of color centers in hexagonal boron nitride probed by electron beams, Nat. Commun. 16, 2326 (2025).
- D. Timmer, M. Gittinger, T. Quenzel, S. Stephan, Y. Zhang, M. F. Schumacher, A. Lützen, M. Silies, S. Tretiak, J.-H. Zhong, A. De Sio, and C. Lienau, Plasmon mediated coherent population oscillations in molecular aggregates, Nat. Commun. 14, 8035 (2023).
- M. Taleb, M. Hentschel, K. Rossnagel, H. Giessen, and N. Talebi, Phase-locked photon–electron interaction without a laser, Nat. Phys. 19, 869 (2023).
- R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, Mainly Electromagnetism and Matter (Addison-Wesley, Reading, MA, 1964), Vol. 2.
- W. Magnus, On the exponential solution of differential equations for a linear operator, Commun. Pure Appl. Math. 7, 649 (1954).
- J. Christopher, M. Taleb, A. Maity, M. Hentschel, H. Giessen, and N. Talebi, Electron‐driven photon sources for correlative electron‐photon spectroscopy with electron microscopes, Nanophotonics 9, 4381 (2018).
- N. Talebi, S. Meuret, S. Guo, M. Hentschel, A. Polman, H. Giessen, and P. A. van Aken, Merging transformation optics with electron-driven photon sources, Nat. Commun. 10, 599 (2019).
- A. B. D. Shaik and P. Palla, Optical quantum technologies with hexagonal boron nitride single photon sources, Sci. Rep. 11, 12285 (2021).
- S. I. Azzam, K. Parto, and G. Moody, Prospects and challenges of quantum emitters in 2D materials, Appl. Phys. Lett. 118, 240502 (2021).
- H. Kamada, H. Gotoh, J. Temmyo, T. Takagahara, and H. Ando, Exciton Rabi oscillation in a single quantum dot, Phys. Rev. Lett. 87, 246401 (2001).
- T. H. Stievater, X. Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham, Rabi oscillations of excitons in single quantum dots, Phys. Rev. Lett. 87, 133603 (2001).
- B. Patton, U. Woggon, and W. Langbein, Coherent control and polarization readout of individual excitonic states, Phys. Rev. Lett. 95, 266401 (2005).
- X. Xu, B. Sun, P. R. Berman, D. G. Steel, A. S. Bracker, D. Gammon, and L. J. Sham, Coherent optical spectroscopy of a strongly driven quantum dot, Science 317, 929 (2007).
- K. L. Silverman, R. P. Mirin, S. T. Cundiff, and A. G. Norman, Direct measurement of polarization resolved transition dipole moment in InGaAs/GaAs quantum dots, Appl. Phys. Lett. 82, 4552 (2003).
- B. R. Sutherland and E. H. Sargent, Perovskite photonic sources, Nat. Photonics 10, 295 (2016).
- A. K. Jena, A. Kulkarni, and T. Miyasaka, Halide perovskite photovoltaics: Background, status, and future prospects, Chem. Rev. 119, 3036 (2019).
- R. G. Hulet, E. S. Hilfer, and D. Kleppner, Inhibited spontaneous emission by a Rydberg atom, Phys. Rev. Lett. 55, 2137 (1985).
- H. B. Crispin and N. Talebi, Electron-beam-induced quantum interference effects in a multilevel quantum emitter, Phys. Rev. B 112, 045419 (2025).
- N. Talebi, Strong interaction of slow electrons with near-field light visited from first principles, Phys. Rev. Lett. 125, 080401 (2020).
- F. Chahshouri and N. Talebi, Tailoring near-field-mediated photon electron interactions with light polarization, New J. Phys. 25, 013033 (2023).
- F. Chahshouri and N. Talebi, Ultrafast plasmonic rotors for electron beams, Nanophotonics 14, 2199 (2025).
- J. H. Eberly and K. Wódkiewicz, The time-dependent physical spectrum of light, J. Opt. Soc. Am. 67, 1252 (1977).
- C. Cohen‐Tannoudji, J. Dupont‐Roc, and G. Grynberg, Atom–Photon Interactions: Basic Process and Appilcations (Wiley, New York, 1998).
- H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems, 1st ed (Clarendon Press, Oxford, 2009).