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Extracting the phase distribution of the electron wave packet ionized by an elliptically polarized laser pulse |
Ya-Nan Qin1, Min Li1( ), Yudi Feng1, Siqiang Luo1, Yueming Zhou1, Peixiang Lu1,2() |
1. Wuhan National Laboratory for Optoelectronics and School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
2. Hubei Key Laboratory of Optical Information and Pattern Recognition, Wuhan Institute of Technology, Wuhan 430205, China |
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Abstract We use an interferometic scheme to extract the phase distribution of the electron wave packet from above-threshold ionization in elliptically polarized laser fields. In this scheme, an electron wave packet released from a circularly polarized laser pulse acts as a reference wave and interferes with the electron wave packet ionized by a time-delayed counter-rotating elliptically polarized laser field. The generated vortex-shaped interference pattern in the photoelectron momentum distribution enables us to extract the phase distribution of the electron wave packet in the elliptically polarized laser pulse with high precision. By artificially screening the ionic potential at different ranges when solving the time-dependent Schördinger equation, we find that the angle-dependent phase distribution of the electron wave packet in the elliptically polarized laser field shows an obvious angular shift as compared to the strong-field approximation, whose value is the same as the attoclock shift. We also show that the amplitude of the angle-dependent phase distribution is sensitive to the ellipticity of the laser pulse, providing an alternative way to precisely calibrate the laser ellipticity in the attoclock measurement.
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| Keywords
above-threshold ionization
photoelectron interference
vortex structure
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Corresponding Author(s):
Min Li,Peixiang Lu
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Issue Date: 14 December 2020
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| 1 |
G. G. Paulus, W. Nicklich, H. Xu, P. Lambropoulos, and H. Walther, Plateau in above threshold ionization spectra, Phys. Rev. Lett. 72(18), 2851 (1994)
https://doi.org/10.1103/PhysRevLett.72.2851
|
| 2 |
H. Kang, W. Quan, Y. Wang, Z. Lin, M. Wu, H. Liu, X. Liu, B. B. Wang, H. J. Liu, Y. Q. Gu, X. Y. Jia, J. Liu, J. Chen, and Y. Cheng, Structure effects in angle-resolved high-order above-threshold ionization of molecules, Phys. Rev. Lett. 104(20), 203001 (2010)
https://doi.org/10.1103/PhysRevLett.104.203001
|
| 3 |
J. L. Krause, K. J. Schafer, and K. C. Kulander, Highorder harmonic generation from atoms and ions in the high intensity regime, Phys. Rev. Lett. 68(24), 3535 (1992)
https://doi.org/10.1103/PhysRevLett.68.3535
|
| 4 |
F. Krausz and M. Ivanov, Attosecond physics, Rev. Mod. Phys. 81(1), 163 (2009)
https://doi.org/10.1103/RevModPhys.81.163
|
| 5 |
B. Walker, B. Sheehy, L. F. DiMauro, P. Agostini, K. J. Schafer, and K. C. Kulander, Precision measurement of strong field double ionization of Helium, Phys. Rev. Lett. 73(9), 1227 (1994)
https://doi.org/10.1103/PhysRevLett.73.1227
|
| 6 |
W. Becker, X. Liu, P. J. Ho, and J. H. Eberly, Theories of photoelectron correlation in laser-driven multiple atomic ionization, Rev. Mod. Phys. 84(3), 1011 (2012)
https://doi.org/10.1103/RevModPhys.84.1011
|
| 7 |
G. G. Paulus, F. Zacher, H. Walther, A. Lohr, W. Becker, and M. Kleber, Above-threshold ionization by an elliptically polarized field: Quantum tunneling interferences and classical dodging, Phys. Rev. Lett. 80(3), 484 (1998)
https://doi.org/10.1103/PhysRevLett.80.484
|
| 8 |
S. P. Goreslavski, G. G. Paulus, S. V. Popruzhenko, and N. I. Shvetsov-Shilovski, Coulomb asymmetry in abovethreshold ionization, Phys. Rev. Lett. 93(23), 233002 (2004)
https://doi.org/10.1103/PhysRevLett.93.233002
|
| 9 |
X. Wang and J. H. Eberly, Effects of elliptical polarization on strong-field short-pulse double ionization, Phys. Rev. Lett. 103(10), 103007 (2009)
https://doi.org/10.1103/PhysRevLett.103.103007
|
| 10 |
C. Liu and K. Z. Hatsagortsyan, Coulomb focusing in above-threshold ionization in elliptically polarized midinfrared strong laser fields, Phys. Rev. A 85(2), 023413 (2012)
https://doi.org/10.1103/PhysRevA.85.023413
|
| 11 |
C. Wang, X. Lai, Z. Hu, Y. Chen, W. Quan, H. Kang, C. Gong, and X. Liu, Strong-field atomic ionization in elliptically polarized laser fields, Phys. Rev. A 90(1), 013422 (2014)
https://doi.org/10.1103/PhysRevA.90.013422
|
| 12 |
P. Eckle, M. Smolarski, P. Schlup, J. Biegert, A. Staudte, M. Schöffler, H. G. Muller, R. Dörner, and U. Keller, Attosecond angular streaking, Nat. Phys. 4(7), 565 (2008)
https://doi.org/10.1038/nphys982
|
| 13 |
P. Eckle, A. N. Pfeiffer, C. Cirelli, A. Staudte, R. Dörner, H. G. Muller, M. Büttiker, and U. Keller, Attosecond ionization and tunneling delay time measurements in helium, Science 322(5907), 1525 (2008)
https://doi.org/10.1126/science.1163439
|
| 14 |
J. Liang, Y. Zhou, J. Tan, M. He, Q. Ke, Y. Zhao, M. Li, W. Jiang, and P. Lu, Low-energy photoelectron interference structure in attosecond streaking, Opt. Express 27(26), 37736 (2019)
https://doi.org/10.1364/OE.27.037736
|
| 15 |
J. Yan, W. Xie, M. Li, K. Liu, S. Luo, C. Cao, K. Guo, W. Cao, P. Lan, Q. Zhang, Y. Zhou, and P. Lu, Photoelectron ionization time of aligned molecules clocked by attosecond angular streaking, Phys. Rev. A 102(1), 013117 (2020)
https://doi.org/10.1103/PhysRevA.102.013117
|
| 16 |
C. Wang, X. Li, X. Xiao, Y. Yang, S. Luo, X. Yu, X. Xu, L. Peng, Q. Gong, and D. Ding, Accurate in situ measurement of ellipticity based on subcycle ionization dynamics, Phys. Rev. Lett. 122(1), 013203 (2019)
https://doi.org/10.1103/PhysRevLett.122.013203
|
| 17 |
I. A. Ivanov and A. S. Kheifets, Strong-field ionization of He by elliptically polarized light in attoclock configuration, Phys. Rev. A 89, 021402(R) (2014)
https://doi.org/10.1103/PhysRevA.89.021402
|
| 18 |
L. Torlina, F. Morales, J. Kaushal, I. Ivanov, A. Kheifets, A. Zielinski, A. Scrinzi, H. G. Muller, S. Sukiasyan, M. Ivanov, and O. Smirnova, Interpreting attoclock measurements of tunnelling times, Nat. Phys. 11(6), 503 (2015)
https://doi.org/10.1038/nphys3340
|
| 19 |
N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K. Z. Hatsagortsyan, T. Pfeifer, C. H. Keitel, and R. Moshammer, Experimental evidence for quantum tunneling time, Phys. Rev. Lett. 119(2), 023201 (2017)
https://doi.org/10.1103/PhysRevLett.119.023201
|
| 20 |
K. Liu, M. Li, W. Xie, K. Guo, S. Luo, J. Yan, Y. Zhou, and P. Lu, Revealing the effect of atomic orbitals on the phase distribution of an ionizing electron wave packet with circularly polarized two-color laser fields, Opt. Express 28(8), 12439 (2020)
https://doi.org/10.1364/OE.386299
|
| 21 |
D. Pengel, S. Kerbstadt, D. Johannmeyer, L. Englert, T. Bayer, and M. Wollenhaupt, Electron vortices in femtosecond multiphoton ionization, Phys. Rev. Lett. 118(5), 053003 (2017)
https://doi.org/10.1103/PhysRevLett.118.053003
|
| 22 |
X. Xiao, M. Wang, H. Liang, Q. Gong, and L. Peng, Proposal for measuring electron displacement induced by a short laser pulse, Phys. Rev. Lett. 122(5), 053201 (2019)
https://doi.org/10.1103/PhysRevLett.122.053201
|
| 23 |
N. Ramsey, A molecular beam resonance method with separated oscillating fields, Phys. Rev. 78(6), 695 (1950)
https://doi.org/10.1103/PhysRev.78.695
|
| 24 |
J. M. Ngoko Djiokap, S. X. Hu, L. B. Madsen, N. L. Manakov, A. V. Meremianin, and A. F. Starace, Electron vortices in photoionization by circularly polarized attosecond pulses, Phys. Rev. Lett. 115(11), 113004 (2015)
https://doi.org/10.1103/PhysRevLett.115.113004
|
| 25 |
J. M. Ngoko Djiokap, A. V. Meremianin, N. L. Manakov, S. X. Hu, L. B. Madsen, and A. F. Starace, Multistart spiral electron vortices in ionization by circularly polarized UV pulses, Phys. Rev. A 94(1), 013408 (2016)
https://doi.org/10.1103/PhysRevA.94.013408
|
| 26 |
J. M. Djiokap, A. V. Meremianin, N. L. Manakov, S. X. Hu, L. B. Madsen, and A. F. Starace, Kinematical vortices in double photoionization of helium by attosecond pulses, Phys. Rev. A 96(1), 013405 (2017)
https://doi.org/10.1103/PhysRevA.96.013405
|
| 27 |
J. M. Ngoko Djiokap, A. V. Meremianin, N. L. Manakov, L. B. Madsen, S. X. Hu, and A. F. Starace, Dynamical electron vortices in attosecond double photoionization of H2, Phys. Rev. A 98(6), 063407 (2018)
https://doi.org/10.1103/PhysRevA.98.063407
|
| 28 |
K. J. Yuan, S. Chelkowski, and A. D. Bandrauk, Photoelectron momentum distributions of molecules in bichromatic circularly polarized attosecond UV laser fields, Phys. Rev. A 93(5), 053425 (2016)
https://doi.org/10.1103/PhysRevA.93.053425
|
| 29 |
K. J. Yuan, H. Lu, and A. D. Bandrauk, Photoionization of triatomic molecular ions H32+ by intense bichromatic circularly polarized attosecond UV laser pulses, J. Phys. At. Mol. Opt. Phys. 50(12), 124004 (2017)
https://doi.org/10.1088/1361-6455/aa72fa
|
| 30 |
J. Chen, X. Zheng, and T. Zhang, Vortex structures in the photoelectron momentum distributions of negative hydrogen ions induced by a short laser pulse, Proc. SPIE 11333, 46 (2019)
https://doi.org/10.1117/12.2547654
|
| 31 |
D. Pengel, S. Kerbstadt, L. Englert, T. Bayer, and M. Wollenhaupt, Control of three-dimensional electron vortices from femtosecond multiphoton ionization, Phys. Rev. A 96(4), 043426 (2017)
https://doi.org/10.1103/PhysRevA.96.043426
|
| 32 |
S. Kerbstadt, K. Eickhoff, T. Bayer, and M. Wollenhaupt, Odd electron wave packets from cycloidal ultrashort laser fields, Nat. Commun. 10(1), 658 (2019)
https://doi.org/10.1038/s41467-019-08601-7
|
| 33 |
S. Yu, Y. Wang, X. Lai, Y. Huang, W. Quan, and X. Liu, Coulomb effect on photoelectron momentum distributions in orthogonal two-color laser fields, Phys. Rev. A 94(3), 033418 (2016)
https://doi.org/10.1103/PhysRevA.94.033418
|
| 34 |
M. D. Feit, J. A. Jr Fleck, and A. Steiger, Solution of the Schördinger equation by a spectral method, J. Comput. Phys. 47(3), 412 (1982)
https://doi.org/10.1016/0021-9991(82)90091-2
|
| 35 |
X. M. Tong, K. Hino, and N. Toshima, Phase-dependent atomic ionization in few-cycle intense laser fields, Phys. Rev. A 74, 031405(R) (2006)
https://doi.org/10.1103/PhysRevA.74.031405
|
| 36 |
M. Protopapas, C. H. Keitel, and P. L. Knight, Atomic physics with super-high intensity lasers, Rep. Prog. Phys. 60(4), 389 (1997)
https://doi.org/10.1088/0034-4885/60/4/001
|
| 37 |
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(11), 113002 (2014)
https://doi.org/10.1103/PhysRevLett.112.113002
|
| 38 |
H. Xie, M. Li, S. Luo, Y. Li, Y. Zhou, W. Cao, and P. Lu, Energy-dependent angular shifts in the photoelectron momentum distribution for atoms in elliptically polarized laser pulses, Phys. Rev. A 96(6), 063421 (2017)
https://doi.org/10.1103/PhysRevA.96.063421
|
| 39 |
M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, Theory of high-harmonic generation by lowfrequency laser fields, Phys. Rev. A 49(3), 2117 (1994)
https://doi.org/10.1103/PhysRevA.49.2117
|
| 40 |
M. Li, Y. Liu, H. Liu, Q. Ning, L. Fu, J. Liu, Y. Deng, C. Wu, L. Peng, and Q. Gong, Subcycle dynamics of Coulomb asymmetry in strong elliptical laser fields, Phys. Rev. Lett. 111(2), 023006 (2013)
https://doi.org/10.1103/PhysRevLett.111.023006
|
| 41 |
A. S. Landsman, C. Hofmann, A. N. Pfeiffer, C. Cirelli, and U. Keller, Unified approach to probing Coulomb effects in tunnel ionization for any ellipticity of laser light, Phys. Rev. Lett. 111(26), 263001 (2013)
https://doi.org/10.1103/PhysRevLett.111.263001
|
| 42 |
P. A. Korneev, S. V. Popruzhenko, S. P. Goreslavski, T. M. Yan, D. Bauer, W. Becker, M. Kübel, M. F. Kling, C. Rödel, M. Wünsche, and G. G. Paulus, Interference carpets in above-threshold ionization: From the Coulombfree to the coulomb-dominated regime, Phys. Rev. Lett. 108(22), 223601 (2012)
https://doi.org/10.1103/PhysRevLett.108.223601
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