In this thesis, we present the 3D calculation of the hydrogen, helium and neon atoms in NIR laser field subject to excitation by a SAP. We use the TD-KLI-SIC includ-ing the electron correlation effect and proper long-range potential and solve time dependent Kohn-Sham equation nonperturbatively with TDGPS method.
We have explored the subcycle dynamical hehavior of the photon emission with respect to many transition with hydrogen, helium and neon atoms on a subfemtosec-ond time scale as the function of time delay. We observe the oscillation structure with a period of half optical cycle. Moreover, we find the Aulter-Townes effect and the population of excited states involving NIR and SAP photons absorption and ionization in subcycle time scales. Even for neon atoms with ten-electron, the TD-KLI-SIC is still available for the complicated system. In the future, we’ll research the argon atoms and more intense laser field with TD-KLI-SIC.
Bibliography
[1] Ferenc Krausz and Misha Ivanov. Attosecond physics. Reviews of Modern Physics, 81(1):163–234, February 2009.
[2] John P. Boyd. Chebyshev and Fourier Spectral Methods: Second Revised Edi-tion. Dover Publications, Mineola, N.Y, second edition, revised edition edition, December 2001.
[3] Carsten Ullrich. Time-Dependent Density-Functional Theory: Concepts and Applications. Oxford University Press, Oxford ; New York, February 2012.
[4] M. Hentschel, R. Kienberger, Ch Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz. Attosecond metrology. Nature, 414(6863):509–513, November 2001.
[5] P. M. Paul, E. S. Toma, P. Breger, G. Mullot, F. AugÃľ, Ph Balcou, H. G.
Muller, and P. Agostini. Observation of a train of attosecond pulses from high harmonic generation. Science, 292(5522):1689–1692, June 2001.
[6] M. Schultze, M. Fieç, N. Karpowicz, J. Gagnon, M. Korbman, M. Hofstet-ter, S. Neppl, A. L. Cavalieri, Y. Komninos, Th Mercouris, C. A. Nicolaides, R. Pazourek, S. Nagele, J. Feist, J. BurgdÃűrfer, A. M. Azzeer, R. Ernstorfer, R. Kienberger, U. Kleineberg, E. Goulielmakis, F. Krausz, and V. S. Yakovlev.
Delay in photoemission. Science, 328(5986):1658–1662, June 2010.
[7] G. Sansone, E. Benedetti, F. Calegari, C. Vozzi, L. Avaldi, R. Flammini, L. Po-letto, P. Villoresi, C. Altucci, R. Velotta, S. Stagira, S. De Silvestri, and M. Nisoli. Isolated single-cycle attosecond pulses. Science, 314(5798):443–446, October 2006.
[8] X. M. Tong and N. Toshima. Controlling atomic structures and photoabsorption processes by an infrared laser. Physical Review A, 81(6):063403, June 2010.
[9] X. M. Tong, P. Ranitovic, C. L. Cocke, and N. Toshima. Mechanisms of infrared-laser-assisted atomic ionization by attosecond pulses. Physical Review A, 81(2):021404, February 2010.
[10] Renate Pazourek, Johannes Feist, Stefan Nagele, and Joachim BurgdÃűrfer.
Attosecond streaking of correlated two-electron transitions in helium. Physical Review Letters, 108(16):163001, April 2012.
[11] John Heslar, Dmitry A. Telnov, and Shih-I Chu. Subcycle dynamics of high-order-harmonic generation of he atoms excited by attosecond pulses and driven by near-infrared laser fields: A self-interaction-free time-dependent density-functional-theory approach. Physical Review A, 89(5):052517, May 2014.
[12] Mitsuko Murakami and Shih-I Chu. Transient absorption spectra of the laser-dressed hydrogen atom. Physical Review A, 88(4):043428, October 2013.
[13] N. B. Delone and Vladimir P. Krainov. AC stark shift of atomic energy levels.
Physics-Uspekhi, 42(7):669, July 1999.
[14] P. C. Becker, R. L. Fork, C. H. Brito Cruz, J. P. Gordon, and C. V. Shank.
Optical stark effect in organic dyes probed with optical pulses of 6-fs duration.
Physical Review Letters, 60(24):2462–2464, June 1988.
[15] Michael Chini, Baozhen Zhao, He Wang, Yan Cheng, S. X. Hu, and Zenghu Chang. Subcycle ac stark shift of helium excited states probed with isolated attosecond pulses. Physical Review Letters, 109(7):073601, August 2012.
[16] Michael Chini, Xiaowei Wang, Yan Cheng, Yi Wu, Di Zhao, Dmitry A. Telnov, Shih-I Chu, and Zenghu Chang. Sub-cycle oscillations in virtual states brought to light. Scientific Reports, 3, January 2013.
[17] Steve Gilbertson, Michael Chini, Ximao Feng, Sabih Khan, Yi Wu, and Zenghu Chang. Monitoring and controlling the electron dynamics in helium with isolated attosecond pulses. Physical Review Letters, 105(26):263003, December 2010.
[18] He Wang, Michael Chini, Shouyuan Chen, Chang-Hua Zhang, Feng He, Yan Cheng, Yi Wu, Uwe Thumm, and Zenghu Chang. Attosecond time-resolved autoionization of argon. Physical Review Letters, 105(14):143002, October 2010.
[19] Shaohao Chen, M. Justine Bell, Annelise R. Beck, Hiroki Mashiko, Mengxi Wu, Adrian N. Pfeiffer, Mette B. Gaarde, Daniel M. Neumark, Stephen R. Leone, and Kenneth J. Schafer. Light-induced states in attosecond transient absorption spectra of laser-dressed helium. Physical Review A, 86(6):063408, December 2012.
[20] Xiaowei Wang, Michael Chini, Yan Cheng, Yi Wu, Xiao-Min Tong, and Zenghu Chang. Subcycle laser control and quantum interferences in attosecond pho-toabsorption of neon. Physical Review A, 87(6):063413, June 2013.
[21] Bengt Fornberg. A Practical Guide to Pseudospectral Methods. Cambridge University Press, October 1998.
[22] L. Trefethen. Spectral Methods in MATLAB. Software, Environments and Tools.
Society for Industrial and Applied Mathematics, January 2000.
[23] Guanhua Yao and Shih-I Chu. Generalized pseudospectral methods with map-pings for bound and resonance state problems. Chemical Physics Letters, 204(3âĂŞ4):381–388, March 1993.
[24] Dmitry A. Telnov and Shih-I Chu. Multiphoton detachment of h- near the one-photon threshold: Exterior complex-scalingâĂŞgeneralized pseudospectral
method for complex quasienergy resonances. Physical Review A, 59(4):2864–
2874, April 1999.
[25] Mark R. Hermann and J. A. Fleck. Split-operator spectral method for solving the time-dependent schrÃűdinger equation in spherical coordinates. Physical Review A, 38(12):6000–6012, December 1988.
[26] P. Hohenberg and W. Kohn. Inhomogeneous electron gas. Physical Review, 136(3B):B864–B871, November 1964.
[27] W. Kohn and L. J. Sham. Self-consistent equations including exchange and correlation effects. Physical Review, 140(4A):A1133–A1138, November 1965.
[28] J. P. Perdew and Alex Zunger. Self-interaction correction to density-functional approximations for many-electron systems. Physical Review B, 23(10):5048–
5079, May 1981.
[29] James D. Talman and William F. Shadwick. Optimized effective atomic central potential. Physical Review A, 14(1):36–40, July 1976.
[30] R. T. Sharp and G. K. Horton. A variational approach to the unipotential many-electron problem. Physical Review, 90(2):317–317, April 1953.
[31] J. B. Krieger, Yan Li, and G. J. Iafrate. Systematic approximations to the optimized effective potential: Application to orbital-density-functional theory.
Physical Review A, 46(9):5453–5458, November 1992.
[32] J. B. Krieger, Yan Li, and G. J. Iafrate. Derivation and application of an accurate kohn-sham potential with integer discontinuity. Physics Letters A, 146(5):256–260, May 1990.
[33] J. B. Krieger, Yan Li, and G. J. Iafrate. Construction and application of an accurate local spin-polarized kohn-sham potential with integer discontinuity:
Exchange-only theory. Physical Review A, 45(1):101–126, January 1992.
[34] Jiqiang Chen, J. B. Krieger, Yan Li, and G. J. Iafrate. Kohn-sham calcula-tions with self-interaction-corrected local-spin-density exchange-correlation en-ergy functional for atomic systems. Physical Review A, 54(5):3939–3947, Novem-ber 1996.
[35] Xiao-Min Tong and Shih-I Chu. Density-functional theory with optimized effec-tive potential and self-interaction correction for ground states and autoionizing resonances. Physical Review A, 55(5):3406–3416, May 1997.
[36] Erich Runge and E. K. U. Gross. Density-functional theory for time-dependent systems. Physical Review Letters, 52(12):997–1000, March 1984.
[37] C. A. Ullrich, U. J. Gossmann, and E. K. U. Gross. Time-dependent optimized effective potential. Physical Review Letters, 74(6):872–875, February 1995.
[38] Xiao-Min Tong and Shih-I Chu. Time-dependent density-functional theory with optimized effective potential and self-interaction correction: Application to the study of coherent control of multiple high-order harmonic generation of he atoms in mixed laser fields. International Journal of Quantum Chemistry, 69(3):293–
303, January 1998.
[39] David B. Kirk and Wen-mei W. Hwu. Programming Massively Parallel Pro-cessors: A Hands-on Approach. Morgan Kaufmann, Burlington, MA, 1 edition edition, February 2010.
[40] S. H. Autler and C. H. Townes. Stark effect in rapidly varying fields. Physical Review, 100(2):703–722, October 1955.
[41] Shaohao Chen, Mengxi Wu, Mette B. Gaarde, and Kenneth J. Schafer. Laser-imposed phase in resonant absorption of an isolated attosecond pulse. Physical Review A, 88(3):033409, September 2013.
[42] Shaohao Chen, Mengxi Wu, Mette B. Gaarde, and Kenneth J. Schafer. Quantum interference in attosecond transient absorption of laser-dressed helium atoms.
Physical Review A, 87(3):033408, March 2013.
[43] A. Wirth, M. Th Hassan, I. GrguraÅą, J. Gagnon, A. Moulet, T. T. Luu, S. Pabst, R. Santra, Z. A. Alahmed, A. M. Azzeer, V. S. Yakovlev, V. Per-vak, F. Krausz, and E. Goulielmakis. Synthesized light transients. Science, 334(6053):195–200, October 2011.
[44] Christian Ott, Andreas Kaldun, Philipp Raith, Kristina Meyer, Martin Laux, JÃűrg Evers, Christoph H. Keitel, Chris H. Greene, and Thomas Pfeifer. Lorentz meets fano in spectral line shapes: A universal phase and its laser control.
Science, 340(6133):716–720, May 2013.