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  • Letter
  • Open Access

Effect of photon quantum statistics on electrons in above-threshold ionization

Zijian Lyu1, Fengxiao Sun1, Yiqi Fang1, Qiongyi He1,2,3,4, and Yunquan Liu1,2,3,4,*

  • *Contact author: Yunquan.liu@pku.edu.cn

Phys. Rev. Research 7, L012072 – Published 18 March, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L012072

Abstract

Strong field physics and quantum optics, two prosperous fields in modern science, have recently been connected with each other. Here, we study the quantum effect of bright squeezed vacuum light and thermal light on above-threshold ionization. With quantum strong-field approximation theory, we reveal a decoherence phenomenon caused by the statistics of photons, in which above-threshold ionization could be degenerated into a classical-like picture under the effect of quantum light. This represents a direct transition from the wavelike nature to the particlelike behavior of photoelectrons. We also reveal the ionization enhancement effect of the bunched light in photoionization from the perspective of autocorrelation function g(n). The number distributions of electrons ionized by different quantum light fields are studied, and it is shown that the photon number distribution can be mapped onto the photoelectron number distribution. This finding enables the production of bunched electrons with strong-field ionization with quantum light.

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References (42)

  1. P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, Free-free transitions following six-photon ionization of xenon atoms, Phys. Rev. Lett. 42, 1127 (1979).
  2. P. Kruit, J. Kimman, H. G. Muller, and M. J. van der Wiel, Electron spectra from multiphoton ionization of xenon at 1064, 532, and 355 nm, Phys. Rev. A 28, 248 (1983).
  3. A. McPherson, G. Gibson, H. Jara, U. Johann, T. S. Luk, I. McIntyre, K. Boyer, and C. K. Rhodes, Studies of multiphoton production of vacuum-ultraviolet radiation in the rare gases, J. Opt. Soc. Am. B 4, 595 (1987).
  4. M. Ferray, A. L'Huillier, X. Li, L. Lompre, G. Mainfray, and C. Manus, Multiple-harmonic conversion of 1064 nm radiation in rare gases, J. Phys. B 21, L31 (1988).
  5. M. Hentschel, R. Kienberger, C. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz, Attosecond metrology, Nature (London) 414, 509 (2001).
  6. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L'huillier, and P. B. Corkum, Theory of high-harmonic generation by low-frequency laser fields, Phys. Rev. A 49, 2117 (1994).
  7. J. Heimerl, A. Mikhaylov, S. Meier, H. Höllerer, I. Kaminer, M. Chekhova, and P. Hommelhoff, Multiphoton electron emission with non-classical light, Nat. Phys. 20, 945 (2024).
  8. S. Lemieux, S. A. Jalil, D. Purschke, N. Boroumand, D. Villeneuve, A. Naumov, T. Brabec, and G. Vampa, Photon bunching in high-harmonic emission controlled by quantum light nature photonics, arXiv:2404.05474.
  9. A. Rasputnyi, Z. Chen, M. Birk, O. Cohen, I. Kaminer, M. Krüger, D. Seletskiy, M. Chekhova, and F. Tani, High-harmonic generation by a bright squeezed vacuum, Nat. Phys. 20, 1960 (2024).
  10. Y. Fang, F.-X. Sun, Q. He, and Y. Liu, Strong-Field Ionization of Hydrogen Atoms with Quantum Light, Phys. Rev. Lett. 130, 253201 (2023).
  11. S. Wang and X. Lai, High-order above-threshold ionization of an atom in intense quantum light, Phys. Rev. A 108, 063101 (2023).
  12. A. Gorlach, M. E. Tzur, M. Birk, M. Krüger, N. Rivera, O. Cohen, and I. Kaminer, High-harmonic generation driven by quantum light, Nat. Phys. 19, 1689 (2023).
  13. M. Even Tzur, M. Birk, A. Gorlach, M. Krüger, I. Kaminer, and O. Cohen, Photon-statistics force in ultrafast electron dynamics, Nat. Photon. 17, 501 (2023).
  14. M. Lewenstein, M. F. Ciappina, E. Pisanty, J. Rivera-Dean, P. Stammer, T. Lamprou, and P. Tzallas, Generation of optical Schrödinger cat states in intense laser–matter interactions, Nat. Phys. 17, 1104 (2021).
  15. P. Stammer, J. Rivera-Dean, T. Lamprou, E. Pisanty, M. F. Ciappina, P. Tzallas, and M. Lewenstein, High photon number entangled states and coherent state superposition from the extreme ultraviolet to the far infrared, Phys. Rev. Lett. 128, 123603 (2022).
  16. P. Stammer, J. Rivera-Dean, A. S. Maxwell, T. Lamprou, J. Argüello-Luengo, P. Tzallas, M. F. Ciappina, and M. Lewenstein, Entanglement and squeezing of the optical field modes in high harmonic generation, Phys. Rev. Lett. 132, 143603 (2024).
  17. M. Even Tzur and O. Cohen, Motion of charged particles in bright squeezed vacuum, Light Sci. Appl. 13, 41 (2024).
  18. P. Stammer, J. Rivera-Dean, A. Maxwell, T. Lamprou, A. Ordóñez, M. F. Ciappina, P. Tzallas, and M. Lewenstein, Quantum electrodynamics of intense laser-matter interactions: A Tool for quantum state engineering, PRX Quantum 4, 010201 (2023).
  19. D. B. Miloševć, Quantum theory of photon emission during strong-laser-field-induced ionization, Phys. Rev. A 108, 033110 (2023).
  20. M. Scully and M. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
  21. K. Y. Spasibko, D. A. Kopylov, V. L. Krutyanskiy, T. V. Murzina, G. Leuchs, and M. V. Chekhova, Multiphoton effects enhanced due to ultrafast photon-number fluctuations, Phys. Rev. Lett. 119, 223603 (2017).
  22. M. Manceau, K. Y. Spasibko, G. Leuchs, R. Filip, and M. V. Chekhova, Indefinite-mean Pareto photon distribution from amplified quantum noise, Phys. Rev. Lett. 123, 123606 (2019).
  23. L. Keldysh, Ionization in the field of a strong electromagnetic wave, Sov. Phys. JETP 20, 1307 (1965).
  24. F. H. Faisal, Multiple absorption of laser photons by atoms, J. Phys. B 6, L89 (1973).
  25. H. R. Reiss, Effect of an intense electromagnetic field on a weakly bound system, Phys. Rev. A 22, 1786 (1980).
  26. D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, Intracycle and intercycle interferences in above-threshold ionization: The time grating, Phys. Rev. A 81, 021403(R) (2010).
  27. D. Milošević, G. G. Paulus, and W. Becker, Ionization by few-cycle pulses: Tracing the electron orbits, Phys. Rev. A 71, 061404(R) (2005).
  28. R. Dahan, A. Gorlach, U. Haeusler, A. Karnieli, O. Eyal, P. Yousefi, M. Segev, A. Arie, G. Eisenstein, P. Hommelhoff et al., Imprinting the quantum statistics of photons on free electrons, Science 373, eabj7128 (2021).
  29. B. W. Shore and P. L. Knight, The Jaynes-Cummings Model, J. Mod. Opt. 40, 1195 (1993).
  30. M. Khalaf and I. Kaminer, Compton scattering driven by intense quantum light, Sci. Adv. 9, eade0932 (2023).
  31. M. J. Nandor, M. A. Walker, L. D. Van Woerkom, and H. G. Muller, Detailed comparison of above-threshold-ionization spectra from accurate numerical integrations and high-resolution measurements, Phys. Rev. A 60, R1771(R) (1999).
  32. B. Mollow, Two-photon absorption and field correlation functions, Phys. Rev. 175, 1555 (1968).
  33. G. Agarwal, Field-correlation effects in multiphoton absorption processes, Phys. Rev. A 1, 1445 (1970).
  34. F. Boitier, A. Godard, N. Dubreuil, P. Delaye, C. Fabre, and E. Rosencher, Photon extrabunching in ultrabright twin beams measured by two-photon counting in a semiconductor, Nat. Commun. 2, 425 (2011).
  35. M. V. Ammosov, N. B. Delone, and V. P. Krainov, Tunnel ionization of complex atoms and of atomic ions in an alternating electromagnetic field, Sov. Phys. JETP 64, 1191 (1986).
  36. N. Delone and V. P. Krainov, Energy and angular electron spectra for the tunnel ionization of atoms by strong low-frequency radiation, J. Opt. Soc. Am. B 8, 1207 (1991).
  37. V. P. Krainov, Ionization rates and energy and angular distributions at the barrier-suppression ionization of complex atoms and atomic ions, J. Opt. Soc. Am. B 14, 425 (1997).
  38. M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, Classical-quantum correspondence for above-threshold ionization, Phys. Rev. Lett. 112, 113002 (2014).
  39. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, On the Lambert WÂfunction, Adv. Comput. Math. 5, 329 (1996).
  40. G. Margaritondo and P. Rebernik Ribic, A simplified description of X-ray free-electron lasers, J. Synchrotron Radiat. 18, 101 (2011).
  41. M. Krüger, M. Schenk, and P. Hommelhoff, Attosecond control of electrons emitted from a nanoscale metal tip, Nature (London) 475, 78 (2011).
  42. Y. Pan, E. Cohen, E. Karimi, A. Gover, N. Schonenberger, T. Chlouba, K. Wang, S. Nehemia, P. Hommelhoff, I. Kaminer et al., Weak measurements and quantum-to-classical transitions in free electron–photon interactions, Light: Science & Applications 12, 267 (2023).

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