Abstract
We theoretically study the orbital-resolved photoelectron momentum distributions (PMDs) of neon atoms in time-delayed bichromatic elliptically polarized attosecond pulses by numerically solving the two-dimensional time-dependent Schrödinger equation (2D-TDSE). The active electron can reach the continuum state at the same momentum by absorbing \(m_{2}\) high-energetic photons or \(m_{1}\) low-energetic photons sequentially, and coherent electron wave packets (CEWPs) from these two pathways can interfere with each other. We show the PMDs exhibit an asymmetrical round when the single-photon ionization channel dominates, while spiral structures with the number of arms are \(m_{1}-m_{2}\) (\(m_{1}+m_{2}\)) for the corotating (counter-rotating) scheme. Furthermore, we find that interference patterns in PMDs are sensitive to the amplitude ratio, frequency combinations, dichroism, time delay and ellipticity of bichromatic elliptically polarized attosecond pulses, which offers possibilities for controlling the interference of CEWPs in atoms by shaping the bichromatic elliptically polarized attosecond pulses.
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Data Availability Statement
This manuscript has no associated data or the data will not be deposited [Authors’ comment: The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.]
References
M. Hentschel, R. Kienberger, Ch. Spielmann, G.A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, F. Krausz, Nat. (Lond.) 414, 509 (2001)
F. Krausz, M. Ivanov, Rev. Mod. Phys. 81, 163 (2009)
P.B. Corkum, F. Krausz, Nat. Phys. 3, 381 (2007)
M. Chini, K. Zhao, Z. Chang, Nat. Photon. 8, 178 (2014)
B. Xue, Y. Tamaru, Y. Fu, H. Yuan, P. Lan, O.D. Möcke, A. Suda, K. Midorikawa, E.J. Takahashi, Ultrafast Sci. 2021, 9828026 (2021)
M. Drescher, M. Hentschel, R. Kienberger, M. Uiberacher, V. Yakovlev, A. Scrinzi, T. Westerwalbesloh, U. Kleineberg, U. Heinzmann, F. Krausz, Nat. (Lond.) 419, 803 (2002)
M. Uiberacker, T. Uphues, M. Schultze, A.J. Verhoef, V. Yakovlev, M.F. Kling, J. Rauschenberger, N.M. Kabachnik, H. Schröder, M. Lezius, K.L. Kompa, H.G. Muller, M.J.J. Vrakking, S. Hendel, U. Kleineberg, U. Heinzmann, M. Drescher, F. Krausz, Nat. (Lond.) 446, 627 (2007)
M. Wu, S. Chen, S. Camp, K.J. Schafer, M.B. Gaarde, J. Phys. B 49, 062003 (2016)
S. Gilbertson, M. Chini, X. Feng, S. Khan, Y. Wu, Z. Chang, Phys. Rev. Lett. 105, 263003 (2010)
W. Chu, S.F. Zhao, C.D. Lin, Phys. Rev. A 84, 033426 (2011)
C. Boeglin, E. Beaurepaire, V. Halté, V. López-Flores, C. Stamm, N. Pontius, H.A. Dürr, J.-Y. Bigot, Nat. (Lond.) 465, 458 (2010)
R. Cireasa, A.E. Boguslavskiy, B. Pons, M.C.H. Wong, D. Descamps, S. Petit, H. Ruf, N. Thiré, A. Ferré, J. Suarez, J. Higuet, B.E. Schmidt, A.F. Alharbi, V. Blanchet, B. Fabre, S. Patchkovskii, O. Smirnova, Y. Mairesse, V.R. Bhardwaj, Nat. Phys. 11, 654 (2015)
S. Beaulieu, A. Comby, B. Fabre, D. Descamps, A. Ferré, G. Garcia, R. Géneaux, F. Légaré, L. Nahon, S. Petit, T. Ruchon, B. Pons, V. Blanchet, Y. Mairese, Faraday Discuss. 194, 325 (2016)
P.C. Huang, C. Hernández-García, J.T. Huang, P.Y. Huang, C.H. Lu, L. Rego, D.D. Hickstein, J.L. Ellis, A. Jaron-Becker, A. Becker, S.D. Yang, C.G. Durfee, L. Plaja, H.C. Kapteyn, M.M. Murnane, A.H. Kung, M.C. Chen, Nat. Photon. 12, 349 (2018)
H.J. Lugt, Vortex Flow in Nature and Technology, 1st edn. (Wiley, New York, 1983)
M.W. Scheeler, W.M. van Rees, H. Kedia, D. Kleckner, W.T.M. Irvine, Science 357, 487 (2017)
M. Harris, C.A. Hill, J.M. Vaughan, Opt. Commun. 106, 161 (1994)
P. Gregg, P. Kristensen, S. Ramachandran, Optica 2, 267 (2015)
G. Spektor, D. Kilbane, K. Mahro, B. Frank, S. Ristok, L. Gal, P. Kahl, D. Podbiel, S. Mathias, H. Giessen, F.J.M.Z. Heringdorf, M. Orenstein, M. Aeschlimann, Science 355, 1187 (2017)
M.W. Zwierlein, J.R. Abo-Shaeer, A. Schirotzek, C.H. Schunck, W. Ketterle, Nat. (Lond.) 435, 1047 (2005)
I. Bialynicki-Birula, Z. Bialynicka-Birula, C. Sliwa, Phys. Rev. A 61, 032110 (2000)
J.H. Macek, J.B. Sternberg, S.Y. Ovchinnikov, T.G. Lee, D.R. Schultz, Phys. Rev. Lett. 102, 143201 (2009)
S.Y. Ovchinnikov, J.B. Sternberg, J.H. Macek, T.G. Lee, D.R. Schultz, Phys. Rev. Lett. 105, 203005 (2010)
L.P.H. Schmidt, C. Goihl, D. Metz, H. Schmidt-Bocking, R. Dörner, S.Y. Ovchinnikov, J.H. Macek, D.R. Schultz, Phys. Rev. Lett. 112, 083201 (2014)
J.M. Ngoko Djiokap, S.X. Hu, L.B. Madsen, N.L. Manakov, A.V. Meremianin, A.F. Starace, Phys. Rev. Lett 115, 113004 (2015)
J.M. Ngoko Djiokap, A.V. Meremianin, N.L. Manakov, S.X. Hu, L.B. Madsen, A.F. Starace, Phys. Rev. A 94, 013408 (2016)
D. Pengel, S. Kerbstadt, D. Johannmeyer, L. Englert, T. Bayer, M. Wollenhaupt, Phys. Rev. Lett. 118, 053003 (2017)
D. Pengel, S. Kerbstadt, L. Englert, T. Bayer, M. Wollenhaupt, Phys. Rev. A 96, 043426 (2017)
S. Kerbstadt, K. Eickhoff, T. Bayer, M. Wollenhaupt, Nat. Commun. 10, 658 (2019)
K. Eickhoff, L. Englert, T. Bayer, M. Wollenhaupt, Front. Phys. 9, 675258 (2021)
K. Eickhoff, L. Feld, D. Köhnke, L. Englert, T. Bayer, M. Wollenhaupt, J. Phys. B 54, 164002 (2021)
J.M. Ngoko Djiokap, A.V. Meremianin, N.L. Manakov, S.X. Hu, L.B. Madsen, A.F. Starace, Phys. Rev. A 96, 013405 (2017)
L. Geng, F. Cajiao Vélez, J.Z. Kamiński, L.Y. Peng, K. Krajewska, Phys. Rev. A 102, 043117 (2020)
L. Geng, F. Cajiao Vélez, J.Z. Kamiński, L.Y. Peng, K. Krajewska, Phys. Rev. A 104, 033111 (2021)
M. Li, G.Z. Zhang, X.L. Kong, T.Q. Wang, X. Ding, J.Q. Yao, Opt. Express 26, 878 (2018)
M. Li, G.Z. Zhang, X. Ding, J.Q. Yao, Chin. Phys. Lett. 115, 036103 (2019)
Q. Zhen, H.D. Zhang, S.Q. Zhang, L. Ji, X.S. Liu, Chem. Phys. Lett. 738, 136885 (2020)
Z. Qi, J.H. Chen, S.Q. Zhang, Z.J. Yang, X.S. Liu, Chin. Phys. B 30, 024203 (2021)
L. Ji, W.W. Yu, S.Y. Han, Y.F. Han, Q. Zhen, S.Q. Zhang, X.S. Liu, Chem. Phys. Lett. 754, 137634 (2020)
J.C. Jia, H.F. Cui, C.P. Zhang, J. Shao, J. Ma, X.Y. Miao, Chem. Phys. Lett. 725, 119 (2019)
J. Guo, S.Q. Zhang, J. Zhang, S.P. Zhou, P.F. Guan, Laser Phys. 31, 065301 (2021)
K.J. Yuan, S. Chelkowski, A.D. Bandrauk, Phys. Rev. A 93, 053425 (2016)
K.J. Yuan, H. Lu, A.D. Bandrauk, J. Phys. B 50, 124004 (2017)
S.Q. Zhang, Q. Zhen, Z.J. Yang, J. Zhang, A.H. Liu, K.J. Yuan, X.S. Liu, J. Guo, Chin. Phys. B 30, 043201 (2021)
H.F. Cui, X.Y. Miao, Chin. Phys. B 29, 074203 (2020)
M.Y. Ma, J.P. Wang, W.Q. Jing, Z. Guan, Z.H. Jiao, G.L. Wang, J.H. Chen, S.F. Zhao, Opt. Express 29, 438045 (2021)
I. Barth, M. Lein, J. Phys. B 47, 204016 (2014)
I. Barth, O. Smirnova, Phys. Rev. A 87, 013433 (2013)
D. Trabert, A. Hartung, S. Eckart, F. Trinter, A. Kalinin, M. Schöffler, LPh.H. Schmidt, T. Jahnke, M. Kunitski, R. Dörner, Phys. Rev. Lett. 120, 043202 (2018)
M.-M. Liu, Y. Shao, M. Han, P. Ge, Y. Deng, C. Wu, Q. Gong, Y. Liu, Phys. Rev. Lett. 120, 013433 (2018)
S. Xu, Q. Zhang, X. Fu, X. Huang, X. Han, M. Li, W. Cao, P. Lu, Phys. Rev. A 102, 063128 (2020)
P. Ge, Y. Fang, Z. Guo, X. Ma, X. Yu, M. Han, C. Wu, Q. Gong, Y. Liu, Phys. Rev. Lett. 126, 223001 (2021)
I. Barth, O. Smirnova, Phys. Rev. A 88, 013401 (2013)
H. Bethe, Intermediate Quantum Mechanics, Chap. 11 (CRC Press, New York, 1997)
K. Rzazewski, B. Piraux, Phys. Rev. A 47, R1612 (1993)
Acknowledgements
This research was supported by National Natural Science Foundation of China (12164044, 11864037, 12064023, 11765018); Project supported by the Science-Technology Foundation for Young Scientist of Gansu Province of China (Grant No. 20JR5RA373); the Natural Science Foundation of Gansu Province (Grant No. 20JR5RA209); the Scientific Research Program of the Higher Education Institutions of Gansu Province of China (Grant No. 2020A-125); and the Natural Science Foundation of Liaoning Province (No. 2020-BS-078).
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RW performed the numerical simulations, analyzed the results and wrote the manuscript. All the authors were involved in the improvement of the manuscript. All the authors have read and approved the final manuscript.
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Wang, RR., Ma, MY., Wang, JP. et al. Orbital-resolved photoelectron momentum distributions of neon atoms in bichromatic elliptically polarized attosecond pulses. Eur. Phys. J. D 76, 145 (2022). https://doi.org/10.1140/epjd/s10053-022-00471-x
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DOI: https://doi.org/10.1140/epjd/s10053-022-00471-x