Helicity-dependent time delays in multiphoton ionization by two-color circularly polarized laser fields
Qing-Hua Ke, Yue-Ming Zhou, Yi-Jie Liao, Jin-Tai Liang, Yong Zhao, Jia Tan, Min Li, Pei-Xiang Lu
Helicity-dependent time delays in multiphoton ionization by two-color circularly polarized laser fields
By numerically solving the three-dimensional time-dependent Schrödinger equation, we have invest-tigated multiphoton ionization of hydrogen atom in the two-color circularly polarized (TCCP) laser fields consisting of a strong 400 nm and a much weaker 800 nm pulses. Due to the presence of perturb-bative 800 nm laser pulse, sideband peaks emerge between the above-threshold ionization rings in the photoelectron momentum distributions. Our numerical results show that the sideband peaks exhibit one-lobe structure in the co-rotating TCCP laser fields, while it displays the three-lobe structure in the counter-rotating TCCP laser fields. Moreover, the photoelectron yield of sidebands in the co-rotating TCCP fields is much higher than those of the counter-rotating TCCP fields. These phenomena could be well explained from the perspective of the photon-absorption channels via the selection rules. In-terestingly, an obvious phase shift between the sidebands of different orders from the co-rotating and counter-rotating TCCP fields is observed. This shift indicates the helicity-dependent time delay in the one-photon continuum-continuum transition process.
helicity-dependent time delay / TCCP / multiphoton ionization
[1] |
P. M. Paul, E. S. Toma, P. Breger, G. Mullot, F. Auge, Ph. Balcou, H. G. Muller, and P. Agostini, Observation of a train of attosecond pulses from high harmonic generation, Science 292(5522), 1689 (2001)
CrossRef
ADS
Google scholar
|
[2] |
E. S. Toma and H. G. Muller, Calculation of matrix el-ements for mixed extreme-ultraviolet-infrared two-photon above-threshold ionization of argon, J. Phys. B 35(16), 3435 (2002)
CrossRef
ADS
Google scholar
|
[3] |
H. G. Muller, Reconstruction of attosecond harmonic beat-ing by interference of two-photon transitions, Appl. Phys. B 74(S1), s17 (2002)
CrossRef
ADS
Google scholar
|
[4] |
A. Maquet and R. Taïeb, Two-colour IR+ XUV spectro-scopies: The “soft-photon approximation”, J. Mod. Opt. 54(13–15), 1847 (2007)
CrossRef
ADS
Google scholar
|
[5] |
M. Swoboda, J. M. Dahlstrom, T. Ruchon, P. Johns.son, J. Mauritsson, A. L’Huillier, and K. J. Schafer, Intensity dependence of laser-assisted attosecond photo ionization spectra, Laser Phys. 19(8), 1591 (2009)
CrossRef
ADS
Google scholar
|
[6] |
G. Laurent, W. Cao, H. Li, Z. Wang, I. Ben-Itzhak, and C. L. Cocke, Attosecond control of orbital parity mix interfere-ences and the relative phase of even and odd harmonics in an attosecond pulse train, Phys. Rev. Lett. 109(8), 083001 (2012)
CrossRef
ADS
Google scholar
|
[7] |
K. Klünder, J. M. Dahlstrom, M. Gisselbrecht, T. Fordell, M. Swoboda, D. Guenot, P. Johnsson, J. Caillat, J. Mau-ritsson, A. Maquet, R. Taieb, and A. L’Huillier, Prob-ing single-photon ionization on the attosecond timescale, Phys. Rev. Lett. 106(14), 143002 (2011)
CrossRef
ADS
Google scholar
|
[8] |
J. M. Dahlström, A. L’Huillier, and A. Maquet, Introduc-tion to attosecond delays in photo ionization, J. Phys. B 45(18), 183001 (2012)
CrossRef
ADS
Google scholar
|
[9] |
J. M. Dahlström, D. Guenot, K. Klunder, M. Gisselbrecht, J. Mauritsson, A. L’Huillier, A. Maquet, and R. Taieb, Theory of attosecond delays in laser-assisted photo ioniza-tion, Chem. Phys. 414, 53 (2013)
CrossRef
ADS
Google scholar
|
[10] |
A. S. Kheifets, Time delay in valence-shell photo ionization of noble-gas atoms, Phys. Rev. A 87(6), 063404 (2013)
CrossRef
ADS
Google scholar
|
[11] |
A. Mandal, P. C. Deshmukh, A. S. Kheifets, V. K. Dolma-tov, and S. T. Manson, Angle-resolved Wigner time delay in atomic photo ionization: The 4d subshell of free and confined Xe, Phys. Rev. A 96(5), 053407 (2017)
CrossRef
ADS
Google scholar
|
[12] |
J. Watzel, A. S. Moskalenko, Y. Pavlyukh, and J. Be-rakdar, Angular resolved time delay in photoemission, J. Phys. B 48(2), 025602 (2015)
CrossRef
ADS
Google scholar
|
[13] |
D. Guénot, D. Kroon, E. Balogh, E. W. Larsen, M. Ko-tur, M. Miranda,T. Fordell, P. Johnsson, J. Mauritsson, M. Gisselbrecht, K. Varjù, C. L. Arnold, T. Carette, A. S. Kheifets, E. Lindroth, A. L’Huillier, and J. M. Dahlström, Measurements of relative photoemission time delays in no-ble gas atoms, J. Phys. B 47(24), 245602 (2014)
CrossRef
ADS
Google scholar
|
[14] |
J. Vos, L. Cattaneo, S. Patchkovskii, T. Zimmermann, C. Cirelli, M. Lucchini, A. Kheifets, A. S. Landsman, and U. Keller, Orientation-dependent stereo Wigner time de-lay and electron localization in a small molecule, Science 360(6395), 1326 (2018)
CrossRef
ADS
Google scholar
|
[15] |
C. Cirelli, C. Marante, S. Heuser, C. L. M. Petersson, A. J. Galan, L. Argenti, S. Zhong, D. Busto, M. Isinger, S. Nandi, S. Maclot, L. Rading, P. Johnsson, M. Gisselbrecht, M. Lucchini, L. Gallmann, J. M. Dahlström, E. Lindroth, A. L’Huillier, F. Martín, and U.Keller, Anisotropic pho-toemission time delays close to a Fano resonance, Nat. Commun. 9(1), 955 (2018)
CrossRef
ADS
Google scholar
|
[16] |
D. M. Villeneuve, P. Hockett, M. J. J. Vrakking, and H. Niikura, Coherent imaging of an attosecond electron wave packet, Science 356(6343), 1150 (2017)
CrossRef
ADS
Google scholar
|
[17] |
S. Heuser, Á. Jiménez Galán, C. Cirelli, C. Marante, M. Sabbar, R. Boge, M. Lucchini, L. Gallmann, I. Ivanov, A. S. Kheifets, J. M. Dahlström, E. Lindroth, L. Argenti, F. Martín, and U. Keller, Angular dependence of photoe-mission time delay in helium, Phys. Rev. A 94(6), 063409 (2016)
CrossRef
ADS
Google scholar
|
[18] |
P. Hockett, Angle-resolved RABBITT: Theory and numer-ics, J. Phys. B 50(15), 154002 (2017)
CrossRef
ADS
Google scholar
|
[19] |
I. A. Ivanov and A. S. Kheifets, Angle-dependent time delay in two-color XUV+IR photoemission of he and ne, Phys. Rev. A 96(1), 013408 (2017)
CrossRef
ADS
Google scholar
|
[20] |
A. W. Bray, F. Naseem, and A. S. Kheifets, Simulation of angular-resolved rabbitt measurements in noble gas atoms, Phys. Rev. A 97(6), 063404 (2018)
CrossRef
ADS
Google scholar
|
[21] |
A. Harth, N. Douguet, K. Bartschat, R. Moshammer, and T. Pfeifer, Extracting phase information on continuumcontinuum couplings, Phys. Rev. A 99(2), 023410 (2019)
CrossRef
ADS
Google scholar
|
[22] |
J. Fuchs, N. Douguet, S. Donsa, F. Martin, J. Burgdorfer, L. Argenti, L. Cattaneo, and U. Keller, Time delays from one-photon transitions in the continuum, Optica 7(2), 154 (2020)
CrossRef
ADS
Google scholar
|
[23] |
L. J. Zipp, A. Natan, and P. H. Bucksbaum, Probing electron delays in above-threshold ionization, Optica 1(6), 361 (2014)
CrossRef
ADS
Google scholar
|
[24] |
X. Gong, C. Lin, F. He, Q. Song, K. Lin, Q. Ji, W. Zhang, J. Ma, P. Lu, Y. Liu, H. Zeng, W. Yang, and J. Wu, Energy-resolved ultrashort delays of photoelectron emission clocked by orthogonal two-color laser fields, Phys. Rev. Lett.118(14), 143203 (2017)
CrossRef
ADS
Google scholar
|
[25] |
X. Song, G. Shi, G. Zhang, J. Xu, C. Lin, J. Chen, and W. Yang, Attosecond time delay of retrapped resonant ionization, Phys. Rev. Lett. 121(10), 103201 (2018)
CrossRef
ADS
Google scholar
|
[26] |
A. Kramo, E. Hasovic, D. B. Milosevic, and W. Becker, Above-threshold detachment by a two-color bicircular laser field, Laser Phys. Lett. 4(4), 279 (2007)
CrossRef
ADS
Google scholar
|
[27] |
C. A. Mancuso, D. D. Hickstein, P. Grychtol, R. Knut, O. Kfir, X. M. Tong, F. Dollar, D. Zusin, M. Gopalakrishnan, C. Gentry, E. Turgut, J. L. Ellis, M. C. Chen, A. Fleischer, O. Cohen, H. C. Kapteyn, and M. M. Murnane, Strong-field ionization with two-color circularly polarized laser fields, Phys. Rev. A 91(3), 031402 (2015)
CrossRef
ADS
Google scholar
|
[28] |
C. A. Mancuso, D. D. Hickstein, K. M. Dorney, J. L. Ellis, E. Hasovic, R. Knut, P. Grychtol, C. Gentry, M. Gopalakrishnan, D. Zusin, F. J. Dollar, X. M. Tong, D. B. Milošević, W. Becker, H. C. Kapteyn, and M. M. Murnane, Controlling electron–ion rescattering in two-color circularly polarized femtosecond laser fields, Phys. Rev. A 3(5), 053406 (2016)
CrossRef
ADS
Google scholar
|
[29] |
M. Ilchen, N. Douguet, T. Mazza, A. J. Rafipoor, C. Callegari, P. Finetti, O. Plekan, K. C. Prince, A. Demidovich, C. Grazioli, L. Avaldi, P. Bolognesi, M. Coreno, M. Di Fraia, M. Devetta, Y. Ovcharenko, S. Düsterer, K. Ueda, K. Bartschat, A. N. Grum-Grzhimailo, A. V. Bozhevolnov, A. K. Kazansky, N. M. Kabachnik, and M. Meyer, Circular dichroism in multiphoton ionization of resonantly excited He+ ons, Phys. Rev. Lett. 118(1), 013002 (2017)
CrossRef
ADS
Google scholar
|
[30] |
M. Busuladžić, A. Gazibegović-Busuladžić, and D. B. Milošević, Strong-field ionization of homonuclear diatomic molecules by a bicircular laser field: Rotational and reflection symmetries, Phys. Rev. A 5(3), 033411 (2017)
CrossRef
ADS
Google scholar
|
[31] |
S. Eckart, K. Fehre, N. Eicke, A. Hartung, J. Rist, D. Trabert, N. Strenger, A. Pier, L. Ph. H. Schmidt, T. Jahnke, M. S. Schoffler, M. Lein, M. Kunitski, and R. Dorner, Direct experimental access to the nonadiabatic initial momentum offset upon tunnel ionization, Phys. Rev. Lett. 121(16), 163202 (2018)
CrossRef
ADS
Google scholar
|
[32] |
M. Han, P. Ge, Y. Shao, Q. Gong, and Y. Liu, Attoclock photoelectron interferometry with two-color corotating circular fields to probe the phase and the amplitude of emitting wave packets, Phys. Rev. Lett. 120(7), 073202 (2018)
CrossRef
ADS
Google scholar
|
[33] |
M. Li, W. C. Jiang, H. Xie, S. Luo, Y. Zhou, and P. Lu, Strong-field photoelectron holography of atoms by bicircular two-color laser pulses, Phys. Rev. A 97(2), 023415 (2018)
CrossRef
ADS
Google scholar
|
[34] |
P. Ge, M. Han, Y. Deng, Q. Gong, and Y. Liu, Universal description of the attoclock with two-color corotating circular fields, Phys. Rev. Lett. 122(1), 013201 (2019)
CrossRef
ADS
Google scholar
|
[35] |
Q. Ke, Y. Zhou, J. Tan, M. He, J. Liang, Y. Zhao, M. Li, and P. Lu, Two-dimensional photoelectron holography in strong-field tunneling ionization by counter rotating twocolor circularly polarized laser pulses, Opt. Express 27(22), 32193 (2019)
CrossRef
ADS
Google scholar
|
[36] |
T. N. Rescigno and C. W. McCurdy, Numerical grid methods for quantum–mechanical scattering problems, Phys. Rev. A 62(3), 032706 (2000)
CrossRef
ADS
Google scholar
|
[37] |
W. C. Jiang and X. Q. Tian, Efficient split-lanczos propagator for strong-field ionization of atoms, Opt. Express 25(22), 26832 (2017)
CrossRef
ADS
Google scholar
|
[38] |
J. Liang, W. C. Jiang, S. Wang, M. Li, Y. Zhou, and P. Lu, Atomic dynamic interference in intense linearly and circularly polarized XUV pulses, J. Phys. B 53(9), 095601 (2020)
CrossRef
ADS
Google scholar
|
[39] |
S. Eckart, D. Trabert, K. Fehre, A. Geyer, J. Rist, K. Lin, F. Trinter, L. Ph. H. Schmidt, M. S. Schoffler, T. Jahnke, M. Kunitski, and R. Dorner, Sideband modulation by subcycle interference, Phys. Rev. A 102(4), 043115 (2020)
CrossRef
ADS
Google scholar
|
[40] |
M. Wickenhauser, X. M. Tong, and C. D. Lin, Laser induced substructures in above-threshold-ionization spectra from intense few-cycle laser pulses, Phys. Rev. A 73, 011401(R) (2006)
CrossRef
ADS
Google scholar
|
[41] |
A. Tóth and A. Csehi, Probing strong-field two-photon transitions through dynamic interference, J. Phys. At. Mol. Opt. Phys. 54(3), 035005 (2021)
CrossRef
ADS
Google scholar
|
[42] |
Y. Feng, M. Li, S. Luo, K. Liu, B. Du, Y. Zhou, and P. Lu, Semiclassical analysis of photoelectron interference in a synthesized two-color laser pulse, Phys. Rev. A 100(6), 063411 (2019)
CrossRef
ADS
Google scholar
|
[43] |
A. Jiménez-Galán, F. Martin, and L. Argenti, Two photon finite-pulse model for resonant transitions in attosecond experiments, Phys. Rev. A 93(2), 023429 (2016)
CrossRef
ADS
Google scholar
|
[44] |
U. Fano, Propensity rules: An analytical approach, Phys. Rev. A 32(1), 617 (1985)
CrossRef
ADS
Google scholar
|
[45] |
D. Busto, J. Vinbladh, S. Zhong, M. Isinger, S. Nandi, S. Maclot, P. Johnsson, M. Gisselbrecht, A. L’Huillier, E. Lindroth, and J. M. Dahlström, Fano’s propensity rule in angle-resolved attosecond pump-probe photo ionization, Phys. Rev. Lett. 123(13), 133201 (2019)
CrossRef
ADS
Google scholar
|
[46] |
A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton, NJ: Princeton University Press, 1974
|
[47] |
https://ww2.mathworks.cn/help/gads/ga.html
|
[48] |
M. Bertolino and J. M. Dahlström, Multiphoton interaction phase shifts in attosecond science, Phys. Rev. Res. 3(1), 013270 (2021)
CrossRef
ADS
Google scholar
|
[49] |
D. Bharti, D. Atri-Schuller, G. Menning, K. R. Hamilton, R. Moshammer, T. Pfeifer, N. Douguet, K. Bartschat, and A. Harth, Decomposition of the transition phase in multisideband schemes for reconstruction of attosecond beating by interference of two-photon transitions, Phys. Rev. A 103(2), 022834 (2021)
CrossRef
ADS
Google scholar
|
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