Comparison between length and velocity gauges in quantum simulations of high-order harmonic generation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 6, 2010, Pages

  Han, Yong Chang ^a   Madsen, Lars Bojer ^a  

^a AARHUS UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR MOMENTUM STATE; ATOMIC HYDROGEN; COMPUTATION EFFICIENCY; DINGER EQUATION; DIPOLE VELOCITY; GRID POINTS; HIGH LASER INTENSITIES; HIGH ORDER HARMONIC GENERATION; HIGH ORDER HARMONICS; HIGHER-DIMENSIONAL; INTENSE FIELD; LASER INTENSITIES; PHYSICAL COUPLING; QUANTUM MECHANICS; QUANTUM SIMULATIONS; SPHERICAL COORDINATES; SPHERICAL HARMONIC BASIS; TIME-DEPENDENT;

FOURIER TRANSFORMS; HARMONIC ANALYSIS; QUANTUM THEORY; VELOCITY; WAVELET TRANSFORMS;

GAGES;

EID: 77954189969     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.063430     Document Type: Article

References (50)

1. P. B. Corkum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 1994 71, 1994 (1993).
2. T. Brabec and F. Krausz, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.72.545 72, 545 (2000).
3. C. Winterfeldt, C. Spielmann, and G. Gerber, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.117 80, 117 (2008).
4. P. Agostini and L. F. DiMauro, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/6/R01 67, 813 (2004).
5. G. Sansone, Science SCIEAS 0036-8075 10.1126/science.1132838 314, 443 (2006).
6. J. J. Carrera, X. M. Tong, and Shih-I Chu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023404 74, 023404 (2006).
7. E. Goulielmakis, V. S. Yakovlev, A. L. Cavalieri, M. Uiberacker, V. Pervak, A. Apolonski, R. Kienberger, U. Kleineberg, and F. Krausz, Science SCIEAS 0036-8075 10.1126/science.1142855 317, 769 (2007).
8. M. Lein, N. Hay, R. Velotta, J. P. Marangos, and P. L. Knight, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.023805 66, 023805 (2002).
9. T. Kanai, S. Minemoto, and H. Sakai, Nature (London) NATUAS 0028-0836 10.1038/nature03577 435, 470 (2005).
10. C. Vozzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.153902 95, 153902 (2005).
11. C. B. Madsen and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043419 76, 043419 (2007).
12. X. Zhou, R. Lock, W. Li, N. Wagner, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.073902 100, 073902 (2008).
13. O. Smirnova, Y. Mairesse, S. Patchkovskii, N. Dudovich, D. Villeneuve, P. Corkum, and M. Y. Ivanov, Nature (London) NATUAS 0028-0836 10.1038/nature08253 460, 972 (2009).
14. A. D. Bandrauk, S. Chelkowski, D. J. Diestler, J. Manz, and K.-J. Yuan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.023403 79, 023403 (2009), and references therein.
15. C. Leone, S. Bivona, R. Burlon, F. Morales, and G. Ferrante, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.1828 40, 1828 (1989).
16. T. K. Kjeldsen and L. B. Madsen, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/10/003 37, 2033 (2004).
17. Y. J. Chen and B. Hu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80. 033408 80, 033408 (2009).
18. L. B. Madsen and D. Dimitrovski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.023403 78, 023403 (2008).
19. R. M. Potvliege and R. Shakeshaft, in Atoms in Intense Laser Fields, edited by, M. Gavrila, (Academic, New York, 1992), pp. 337-433.
20. N. Ben-Tal, N. Moiseyev, and R. Kosloff, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.2437 48, 2437 (1993).
21. N. Moiseyev, M. Chrysos, O. Atabek, and R. Lefebvre, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/28/10/013 28, 2007 (1995).
22. M. Plummer and C. J. Nobel, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/2/101 35, L51 (2002).
23. P. Zdanska, V. Averbukh, and N. Moiseyev, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1566737 118, 8726 (2003).
24. O. E. Alon, V. Averbukh, and N. Moiseyev, Adv. Quant. Chem. JCPSA6 0065-3276 10.1016/S0065-3276(04)47022-1 47, 393 (2004).
25. F. H. M. Faisal, J. Z. Kaminski, and E. Saczuk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023412 72, 023412 (2005).
26. E. Mese and R. M. Potvliege, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/2/017 39, 431 (2006).
27. E. Cormier and P. Lambropoulos, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/9/013 29, 1667 (1996).
28. X. Zhou, R. Lock, N. Wagner, W. Li, H. C. Kapteyn, and M. M. Murnane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.073902 102, 073902 (2009).
29. A. Etches, C. B. Madsen, and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.013409 81, 013409 (2010).
30. S. Ramakrishna, P. A. J. Sherratt, A. D. Dutoi, and T. Seideman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.021802 81, R021802 (2010).
31. G. L. Kamta and A. D. Bandrauk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.053407 71, 053407 (2005).
32. M. Lein, N. Hay, R. Velotta, J. P. Marangos, and P. L. Knight, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.183903 88, 183903 (2002).
33. D. A. Telnov and S.-I. Chu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.013408 71, 013408 (2005).
34. F. He, C. Ruiz, and A. Becker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.053407 75, 053407 (2007).
35. A.-T. Le, R. Della Picca, P. D. Fainstein, D. A. Telnov, M. Lein, and C. D. Lin, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/8/081002 41, 081002 (2008).
36. I. A. Ivanov and A. S. Kheifets, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.053827 79, 053827 (2009).
37. E. Lorin, S. Chelkowski, and A. D. Bandrauk, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/2/025033 10, 025033 (2008).
38. E. Lorin, S. Chelkowski, and A. Bandrauk, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2007.07.005 177, 908 (2007).
39. M. B. Gaarde, J. L. Tate, and K. J. Schafer, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/41/13/132001 41, 132001 (2008).
40. C. B. Madsen and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023403 74, 023403 (2006).
41. C. B. Madsen, A. S. Mouritzen, T. K. Kjeldsen, and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.035401 76, 035401 (2007).
42. U. Peskin, O. E. Alon, and N. Moiseyev, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.466875 100, 7310 (1994).
43. T. K. Kjeldsen, L. A. A. Nikolopoulos, and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.063427 75, 063427 (2007).
44. T. K. Kjeldsen, Ph.D. thesis, Aarhus University, 2007 [http://www.phys.au.dk/main/publications/PhD/Thomas-Kim-Kjeldsen.pdf].
45. M. O. Scully and M. Suhail Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997).
46. L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.053417 65, 053417 (2002).
47. F. H. M. Faisal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/40/7/F02 40, F145 (2007).
48. H. G. Müller, Laser Phys. 9, 138 (1999).
49. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-electron Atoms (Springer, Berlin, 1957).
50. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L'Huillier, and P. B. Corkum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.49.2117 49, 2117 (1994).