Abstract
In the paper we theoretically investigate the features of RABBITT (Reconstruction of Attosecond Beating By Interference of Two-photon Transitions) spectroscopy under conditions when transitions through discrete spectrum states play a significant role. Two approaches are applied in the article: the numerical solution of rate equations with continuum discretization and the perturbation theory up to the third order in amplitude. Both approaches use transition matrix elements and photoionization amplitudes obtained by the high-precision R-matrix method. Within the framework of these approaches, photoelectron spectra, the amplitude and phase of RABBITT oscillations were obtained, and the effect of the seed optical field intensity and detuning from a resonance upon excitation of discrete states was studied.
REFERENCES
M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, et al., Phys. Rev. A 49, 2117 (1994).
V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, Phys. Usp. 59, 425 (2016).
F. Krausz and M. Ivanov, Rev. Mod. Phys. 81, 163 (2009).
P. M. Paul, E. S. Toma, P. Breger, et al., Science (Washington, DC, U. S.) 292, 1689 (2001).
R. Pazourek, S. Nagele, and J. Burgdörfer, Faraday Discuss 163, 353 (2013).
J. Vos, L. Cattaneo, S. Patchkovskii, et al., Science (Washington, DC, U. S.) 360, 1326 (2018).
M. Ossiander, J. Riemensberger, S. Neppl, et al., Nature (London, U.K.) 361, 374 (2018).
G. Sansone, E. Benedetti, F. Calegari, et al., Science (Washington, DC, U. S.) 314, 443 (2006).
E. Goulielmakis, M. Schultze, M. Hofstetter, et al., Science (Washington, DC, U. S.) 320, 1614 (2008).
R. Löpez-Martens, K. Varjú, P. Johnsson, et al., Phys. Rev. Lett. 94, 033001 (2005).
V. V. Strelkov, E. Mével, and E. Constant, New J. Phys. 10, 083040 (2008).
E. Constant, V. D. Taranukhin, A. Stolow, and P. B. Corkum, Phys. Rev. A 56, 3870 (1997).
M. Hentschel, R. Kienberger, Ch. Spielmann, et al., Nature (London, U.K.) 414, 509 (2001).
J. Itatani, F. Quéré, G. L. Yudin, et al., Phys. Rev. Lett. 88, 173903 (2002).
M. Schultze, M. Fieß, N. Karpowicz, et al., Science (Washington, DC, U. S.) 328, 1658 (2010).
Y. Mairesse, A. de Bohan, L. J. Frasinski, et al., Science (Washington, DC, U. S.) 302, 1540 (2003).
K. Klünder, J. M. Dahlström, M. Gisselbrecht, et al., Phys. Rev. Lett. 106, 143002 (2011).
L. Cattaneo, J. Vos, M. Lucchini, et al., Opt. Express 24, 29060 (2016).
V. Véniard, R. Taïeb, and A. Maquet, Phys. Rev. A 54, 721 (1996).
N. B. Delone and V. P. Krainov, Nonlinear Ionization of Atoms by Laser Radiation (Fizmatlit, Moscow, 2001) [in Russian].
M. Isinger, D. Busto, S. Mikaelsson, et al., Phil. Trans. R. Soc. London, Ser. A 377, 20170475 (2019).
J. Benda, Z. Mašín, and J. D. Gorfinkiel, Phys. Rev. A 105, 053101 (2022).
E. Lindroth and J. M. Dahlström, Phys. Rev. A 96, 013420 (2017).
J. Vinbladh, J. M. Dahlström, and E. Lindroth, Phys. Rev. A 100, 043424 (2019).
P. K. Maroju, C. Grazioli, M. D. Fraia, et al., Nature (London, U.K.) 578, 386 (2020).
A. Harth, N. Douguet, K. Bartschat, et al. Phys. Rev. A 99, 023410 (2019).
A. S. Kheifets and A. W. Bray, Phys. Rev. A 103, L011101 (2021).
D. Bharti, D. Atri-Schuller, G. Menning, et al., Phys. Rev. A 103, 022834 (2021).
A. Kheifets, Atoms 9, 66 (2021).
J. M. Dahlström, A. L’Huillier, and J. Mauritsson, J. Phys. B 44, 095602 (2011).
B. I. Schneider, K. R. Hamilton, and K. Bartschat, Atoms 10, 26 (2022).
O. Zatsarinny, Comput. Phys. Commun. 174, 273 (2006).
T. Mercouris, Y. Komninos, S. Dionissopoulou, and C. A. Nicolaides, J. Phys. B 29, 13 (1996).
S. A. Novikov and A. N. Hopersky, J. Phys. B 44, 235001 (2011).
M. Swoboda, T. Fordell, K. Klünder, et al., Phys. Rev. Lett. 104, 103003 (2010).
D. M. Villeneuve, P. Hockett, M. J. J. Vrakking, and H. Niikura, Science (Washington, DC, U. S.) 356, 1150 (2017).
K. R. Hamilton, K. Bartschat, M. Moioli, et al., in Proceedings of the MPS-2022 International Conference on Many Particle Spectroscopy of Atoms, Molecules, Clusters and Surfaces, 13, Turku, Finland, 2022.
M. Kotur, D. Guenot, Á. Jiménez-Galán, et al., Nat. Commun. 7, 10566 (2016).
V. Gruson, L. Barreau, Á. Jiménez-Galán, et al., Science (Washington, DC, U. S.) 354, 734 (2016).
M. A. Fareed, V. V. Strelkov, M. Singh, et al., Phys. Rev. Lett. 121, 023201 (2018).
Á. Jiménez-Galán, L. Argenti, and F. Martín, Phys. Rev. Lett. 113, 263001 (2014).
B. Ghomashi, N. Douguet, and L. Argenti, Phys. Rev. A 99, 053407 (2019).
D. A. Varshalovich, A. N. Moskalev and V. K. Khersonskii, Quantum Theory of Angular Momentum (World scientific, Singapore, 1988; Fizmatlit, Moscow, 2017).
I. I. Sobelman, Atomic Spectra and Radiative Transitions (Springer, Berlin, 1992).
S. N. Yudin, S. M. Burkov, A. N. Grum-Grzhimajlo, M. D. Kiselev, and V. I. Severinenko, State Registration Certificate No. 2021681060 (2021).
M. M. Popova, E. V. Gryzlova, M. D. Kiselev, and A. N. Grum-Grzhimailo, Symmetry 13, 1015 (2021).
A. Kramida, Yu. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database, Vers. 5.8 (Natl. Inst. Stand. Technol., Gaithersburg, MD, 2020). https://physics.nist.gov/asd. Accessed October 3, 2022.
C. F. Fischer, T. Brage, and P. Jonsson, Computational Atomic Structure: An MCHF Approach (IOP Publ., Bristol, 1997).
V. V. Balashov, A. N. Grum-Grzhimailo, and N. M. Kabachnik, Polarization and Correlation Phenomena in Atomic Collisions: A Practical Theory Course (Kluwer Academic/Plenum, New York, 2000).
W. Gordon, Ann. Phys. 394, 1031 (1929).
N. L. Manakov, S. I. Marmo, and A. A. Krylovetsky, J. Exp. Theor. Phys. 92, 37 (2001).
D. Busto, J. Vinbladh, S. Zhong, et al., Phys. Rev. Lett. 123, 133201 (2019).
N. Levinson, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 25, 9 (1949).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Elsevier, Amsterdam, 2013; Fizmatlit, Moscow, 2004).
ACKNOWLEDGMENTS
The studies in Sections 2–4 are supported by the Russian Foundation for Basic Research (RFBR) under project no. 20-52-12023 and the Ministry of Science and Higher Education of the Russian Federation (project no. 0818-2020-0005) with the use of computational resources of the Shared Services “Data Center of the Far-Eastern Branch of the Russian Academy of Sciences”. The studies in section 5 are supported by the Russian Science Foundation (project no. 21-42-04412).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Rights and permissions
About this article
Cite this article
Popova, M.M., Yudin, S.N., Gryzlova, E.V. et al. Attosecond Interferometry Involving Discrete States. J. Exp. Theor. Phys. 136, 259–268 (2023). https://doi.org/10.1134/S1063776123030044
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776123030044