Parallel solver for the time-dependent linear and nonlinear Schrödinger equation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 3, 2006, Pages

  Schneider, Barry I ^a,b,c   Collins, Lee A ^c   Hu, S X ^c  

^a NATIONAL SCIENCE FOUNDATION   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC COLLISION PROBLEMS; REAL-SPACE PRODUCT (RSP) ALGORITHM; SCHRÖDINGER EQUATION;

ALGORITHMS; ELECTROMAGNETIC FIELDS; FINITE DIFFERENCE METHOD; LINEAR EQUATIONS; NONLINEAR EQUATIONS;

COMPUTATIONAL METHODS;

EID: 33645342220     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036708     Document Type: Article

References (44)

1. V. S. Melezhik, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91) 90292-S 92, 67 (1991);
2. V. S. Melezhik, and C.-Y. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.083202 90, 083202 (2003).
3. M. H. Beck, A. Jackle, G. A. Worth, and H.-D. Meyer, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00047-2 324, 1 (2000).
4. R. Baer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.063810 62, 063810 (2000).
5. G. D. Billing, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1357787 114, 6641 (2001).
6. D. R. Schultz and P. S. Krstic, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.022712 67, 022712 (2003).
7. J. Colgan, M. S. Pindzola, F. J. Robicheaux, D. C. Griffin, and M. Baertschy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042721 65, 042721 (2002).
8. S. Chelkowski, C. Foisy, and A. D. Bandrauk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.1176 57, 1176 (1998);
9. A. D. Bandrauk and H. Z. Lu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023408 72, 023408 (2005).
10. M. S. Pindzola and F. Robicheaux, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.318 57, 318 (1998);
11. J. Colgan, M. S. Pindzola, and F. Robicheaux, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022727 72, 022727 (2005).
12. K. C. Kulander, K. J. Schafer, and J. L. Krause, in Atoms in Intense Radiation Fields, edited by, M. Gravila, (Academic Press, New York, 1992);
13. T. O. Clatterbuck, C. Lynga, P. M. Paul, L. F. Di Mauro, M. B. Gaarde, K. J. Schafer, P. Agostini, K. C. Kulander, and I. Walmsley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033807 69, 033807 (2004).
14. L. A. Collins, J. D. Kress, and R. B. Walker, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/S0010-4655(98)00055-1 114, 15 (1998).
15. S. X. Hu and L. A. Collins, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.033405 69, 033405 (2004);
16. S. X. Hu and L. A. Collins, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.073004 94, 073004 (2005).
17. M. L. Chiofalo, S. Succi, and M. P. Tosi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.7438 62, 7438 (2000);
18. S. Succi, F. Toschi, M. P. Tosi, and P. Vignolo, Comput. Sci. Eng. CSENFA 1521-9615 10.1109/MCSE.2005.115 7, 48 (2005).
19. S. K. Adhikari, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.016703 65, 016703 (2000);
20. S. K. Adhikari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043601 66, 043601 (2002).
21. J. Denschlag, Science SCIEAS 0036-8075 10.1126/science.287.5450.97 287, 97 (2000).
22. C. LeForestier, R. H. Bisseling, C. Cerjan, M. D. Feit, R. Friesner, A. Guldberg, A. Hammerich, G. Jolicard, W. Karlein, H. D. Meyer, N. Lipkin, O. Roncero, and R. Kosloff, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(91) 90137-A 94, 59 (1991).
23. B. I. Schneider and L. A. Collins, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/j.jnoncrysol.2005.03.028 351, 1551 (2005).
24. P. Muruganandam and S. K. Adhikari, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/12/310 36, 2501 (2003).
25. J. Ackermann and J. Shertzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.365 54, 365 (1996).
26. T. N. Rescigno and C. W. McCurdy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.032706 62, 032706 (2000).
27. C. Moler and C. Van Loan, SIAM Rev. SIREAD 0036-1445 10.1137/ S00361445024180 45, 3 (2003).
28. H. DeRaedt, Comput. Phys. Rep. CPHREF 0167-7977 10.1016/0167-7977(87) 90002-5 7, 1 (1987).
29. J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448462 82, 1400 (1985).
30. B. I. Schneider and N. Nygaard, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp025552d 106, 10773 (2002).
31. T. J. Park and J. C. Light, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.451548 85, 5870 (1986).
32. A. Castro, M. A. L. Marques, and A. Rubio, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1774980 121, 3425 (2004).
33. H. F. Trotter, Proc. Am. Math. Soc. PAMYAR 0002-9939 10, 545 (1959).
34. M. D. Feit and J. A. Fleck, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.444501 78, 301 (1982).
35. M. Suzuki, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.526596 26, 601 (1985).
36. M. Suzuki, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.529425 32, 400 (1991).
37. M. Suzuki and T. Yamauchi, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.530330 34, 4892 (1992).
38. S. K. Adhikari and P. Muruganandam, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/12/317 35, 2831 (2002).
39. S. A. Chin and E. Krotscheck, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.036705 72, 036705 (2005).
40. H. Q. Wang, Appl. Math. Comput. AMHCBQ 0096-3003 170, 17 (2005).
41. W. Z. Bao and J. Shen, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/030601211 26, 2010 (2005).
42. W. Gropp, E. Lusk, and A. Skjellum, Using MPI-Portable Parallel Programming with the Message-Passing Interface, 2nd ed. (MIT Press, Cambridge, MA, 1999).
43. B. I. Schneider and D. L. Feder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.2232 59, 2232 (1999).
44. J. S. Sims and S. A. Hagstrom, Int. J. Quantum Chem. IJQCB2 0020-7608 10.1002/qua.10344 90, 1600 (2002).