Abstract
Using the description of the ionization process in intense electromagnetic fields in terms of quantum orbits, we examine the ionization time concept used for the determination of the hypothetical tunneling time delay. We investigate the validity of the common conjecture that the electron escapes from the barrier with the highest probability when the electric field strength of the laser wave reaches its absolute maximum. Our calculation demonstrates that this is exactly correct either in the static field limit or under special restrictions imposed on the laser pulse shape, while for a laser pulse of an arbitrary form a small non-adiabatic time shift between the field maximum and the maximum of the tunneling probability emerges. For laser and atom parameters typical for experiments on tunnel or multiphoton ionization of atoms, this shift may vary from several to several dozens attoseconds. It also generates a potentially measurable correction in the angle between the directions of the most probable photoelectron momentum and of the highest electric field. Our findings may help identifying and measuring extremely small time and angular shifts in the strong field ionization process.
Similar content being viewed by others
References
L. Eisenbud, The formal properties of nuclear collisions. Ph.D. Thesis (Princeton University) (1948)
E.P. Wigner, Phys. Rev. 98, 145 (1955)
D. Bohm, Quantum Theory (Prentice-Hall, Englewood Cliffs, 1951)
A. Maquet, J. Caillat, R. Taïeb, J. Phys. B At. Mol. Opt. Phys. 47, 204004 (2014)
G. Orlando, C. McDonald, N. Protik, G. Vampa, T. Brabec, J. Phys. B At. Mol. Opt. Phys. 47, 204002 (2014)
U.S. Sainadh, R. Sang, I. Litvinyuk, J. Phys. Photonics 2, 042002 (2020)
L. Keldysh, Sov. Phys. JETP 20, 1307–1314 (1965)
V.S. Popov, Phys. Usp. 47, 855 (2004)
D. Milošević, G. Paulus, D. Bauer, W. Becker, J. Phys. B At. Mol. Opt. Phys. 39, R203 (2006)
F. Krausz, M. Ivanov, Rev. Mod. Phys. 81, 163 (2009)
S. Popruzhenko, J. Phys. B At. Mol. Opt. Phys. 47, 204001 (2014)
A.T. Eppink, D.H. Parker, Rev. Sci. Instrum. 68, 3477–3484 (1997)
V.S. Yakovlev, F. Bammer, A. Scrinzi, J. Mod. Opt. 52, 395–410 (2005)
P. Eckle, A. Pfeiffer, C. Cirelli, A. Staudte, R. Dörner, H. Muller, M. Büttiker, U. Keller, Science 322, 1525–1529 (2008)
Y. Huismans, A. Rouzée, A. Gijsbertsen, J. Jungmann, A. Smolkowska, P. Logman, F. Lepine, C. Cauchy, S. Zamith, T. Marchenko et al., Science 331, 61–64 (2011)
P. Eckle, M. Smolarski, P. Schlup, J. Biegert, A. Staudte, M. Schöffler, H.G. Muller, R. Dörner, U. Keller, Nat. Phys. 4, 565–570 (2008)
A.N. Pfeiffer, C. Cirelli, M. Smolarski, D. Dimitrovski, M. Abu-Samha, L.B. Madsen, U. Keller, Nat. Phys. 8, 76–80 (2012)
L. Torlina, F. Morales, J. Kaushal, I. Ivanov, A. Kheifets, A. Zielinski, A. Scrinzi, H.G. Muller, S. Sukiasyan, M. Ivanov et al., Nat. Phys. 11, 503–508 (2015)
U.S. Sainadh, H. Xu, X. Wang, A. Atia-Tul-Noor, W.C. Wallace, N. Douguet, A. Bray, I. Ivanov, K. Bartschat, A. Kheifets et al., Nature 568, 75–77 (2019)
H. Ni, U. Saalmann, J.M. Rost, Phys. Rev. Lett. 117, 023002 (2016)
S. Brennecke, S. Eckart, M. Lein, J. Phys. B At. Mol. Opt. Phys. 54, 164001 (2021)
F.H. Faisal, J. Phys. B At. Mol. Phys. 6, L89 (1973)
H.R. Reiss, Phys. Rev. A 22, 1786 (1980)
P. Salières, B. Carré, L. Le Déroff, F. Grasbon, G. Paulus, H. Walther, R. Kopold, W. Becker, D. Milošević, A. Sanpera et al., Science 292, 902–905 (2001)
P.B. Corkum, Phys. Rev. Lett. 71, 1994 (1993)
N. Shvetsov-Shilovski, M. Lein, L. Madsen, E. Räsänen, C. Lemell, J. Burgdörfer, D. Arbó, K. Tőkési, Phys. Rev. A 94, 013415 (2016)
D. Azoury, M. Krüger, B.D. Bruner, O. Smirnova, N. Dudovich, Sci. Rep. 11, 1–9 (2021)
M. Bashkansky, P. Bucksbaum, D. Schumacher, Phys. Rev. Lett. 60, 2458 (1988)
S. Goreslavski, G. Paulus, S. Popruzhenko, N. Shvetsov-Shilovski, Phys. Rev. Lett. 93, 233002 (2004)
S. Popruzhenko, G.G. Paulus, D. Bauer, Phys. Rev. A 77, 053409 (2008)
S. Beiser, M. Klaiber, I.Y. Kiyan, Phys. Rev. A 70, 011402 (2004)
B. Bergues, Y. Ni, H. Helm, I.Y. Kiyan, Phys. Rev. Lett. 95, 263002 (2005)
M. Frolov, N. Manakov, A.F. Starace, Phys. Rev. A 78, 063418 (2008)
A. Perelomov, V. Popov, M. Terentiev, Zhurnal Eksp. Teor. Fiz. (USSR) 51, 309 (1966)
V. Mur, S. Popruzhenko, V. Popov, J. Exp. Theor. Phys. 92, 777–788 (2001)
G. Gribakin, M.Y. Kuchiev, Phys. Rev. A 55, 3760 (1997)
Acknowledgements
Authors acknowledge useful discussions with M.V. Frolov.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Popruzhenko, S.V., Tyurin, D.I. Attosecond time shifts in atomic strong field ionization by tailored laser pulses. Eur. Phys. J. Plus 137, 470 (2022). https://doi.org/10.1140/epjp/s13360-022-02695-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-022-02695-7