Pairing in Cold Atoms and other Applications for Quantum Monte Carlo methods

Physics Procedia

Volumn 3, Issue 3, 2010, Pages 1397-1410

  Bajdich, M ^a   Kolorenc J ^a   Mitas, L ^a   Reynolds, P J ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b Physical Sciences Directorate   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-SYMMETRIC; COLD ATOMS; CONDENSATE FRACTIONS; CONFIGURATION INTERACTIONS; FERMION SYSTEMS; OTHER APPLICATIONS; PFAFFIAN; QUANTUM MONTE CARLO METHODS; UNITARY LIMITS;

ELECTRIC DIPOLE MOMENTS; FERMIONS; QUANTUM CHEMISTRY; WAVE FUNCTIONS;

MONTE CARLO METHODS;

EID: 76249121957     PISSN: 18753884     EISSN: 18753892     Source Type: Conference Proceeding    
DOI: 10.1016/j.phpro.2010.01.199     Document Type: Article

References (51)

1. Ceperley D.M., and Kalos M.H. In: Binger K. (Ed). Monte Carlo Methods in Statistical Physics (1979), Springer, Berlin 145-194
2. Schmidt K.E., and Ceperley D.M. Monte Carlo methods in statistical physics 2 (1984), Springer, Berlin 279-355
3. Hammond B.L., Lester Jr. W.A., and Reynolds P.J. Monte Carlo Methods in ab initio quantum chemistry (1994), World Scientific, Singapore
4. Foulkes W.M.C., Mitas L., Needs R.J., and Rajagopal G. Rev. Mod. Phys. 73 (2001) 33-83
5. Anderson J.B. J. Chem. Phys. 63 4 (1975) 1499-1503
6. Reynolds P.J., Ceperley D.M., Alder B.J., and Lester Jr. W.A. J. Chem. Phys. 77 11 (1982) 5593-5603
7. Grossman J. J Chem. Phys. 117 (2002) 1434
8. Ceperley D.M., and Alder B.J. Phys. Rev. Lett. 45 7 (1980) 566-569
9. Carlson J., Chang S.-Y., Pandharipande V.R., and Schmidt K.E. Phys. Rev. Lett. 91 5 (2003) 050401
10. Breit G. Phys. Rev. 35 6 (1930) 569-578
11. D.M. Ceperley, J. Stat. Phys. 63.
12. Foulkes W.M.C., Hood R.Q., and Needs R.J. Phys. Rev. B 60 7 (1999) 4558-4570
13. Mitas L. Phys. Rev. Lett. 96 24 (2006) 240402
14. L. Mitas, cond-mat (2006) 0605550.
15. Hylleraas E.A. Z. Phys. 54 (1929) 347
16. Hylleraas E.A. Z. Phys. 48 (1928) 469
17. Anderson J.B. J. Chem. Phys. 65 10 (1976) 4121-4127
18. Anderson J.B. Phys. Rev. A 35 8 (1987) 3550-3553
19. Glauser W.A., Brown W.R., Lester Jr. W.A., Bressanini D., Hammond B.L., and Kozykowski M.L. J. Chem. Phys. 97 12 (1992) 9200-9215
20. Bressanini D., Ceperley D.M., and Reynolds P. In: Lester Jr. S.T.W.A., and Rothstein S.M. (Eds). Recent Advances in Quantum Monte Carlo Methods 2 (2002), World Scientific, Singapore
21. Bressanini D., Morosi G., and Tarasco S. J. Chem. Phys. 123 20 (2005) 204109
22. Umrigar C.J., Toulouse J., Filippi C., Sorella S., and Hennig R.G. Phys. Rev. Lett. 98 11 (2007) 110201
23. Casula M., and Sorella S. J. Chem. Phys. 119 13 (2003) 6500-6511
24. Casula M., Attaccalite C., and Sorella S. J. Chem. Phys. 121 15 (2004) 7110-7126
25. Bajdich M., Mitas L., Drobný G., Wagner L.K., and Schmidt K.E. Phys. Rev. Lett. y 96 13 (2006) 130201
26. Bajdich M., Mitas L., Wagner L.K., and Schmidt K.E. Phys. Rev. B 77 11 (2008) 115112
27. Bressanini D., and Reynolds P.J. Phys. Rev. Lett. 95 11 (2005) 110201
28. Bajdich M., Mitas L., Drobny G., and Wagner L.K. Phys. Rev. B 72 7 (2005) 075131
29. Rios P.L., Ma A., Drummond N.D., Towler M.D., and Needs R.J. Phys. Rev. E 74 6 (2006) 066701
30. Brown M.D., Trail J.R., Rios P.L., and Needs R.J. J. Chem. Phys. 126 22 (2007) 224110
31. Szabo A., and Ostlund N.S. Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory (1996), Dover
32. Bouchaud J.P., and L'huillier C. Europhys. Lett. 3 (1987) 1273
33. M. Bhattacharjee, Z. Phys. B 82.
34. Fabrocini A., Fantoni S., Illarionov A.Y., and Schmidt K.E. Phys. Rev. Lett. 95 19 (2005) 192501 also in arXiv.org, nucl-th/0607034
35. Umrigar C.J., and Filippi C. Phys Rev Lett 94 (2005) 150201
36. Ovcharenko I., Aspuru-Guzik A., and Lester Jr. W.A. J. Chem. Phys. 114 18 (2001) 7790-7794
37. Dolg M. Chemical Physics Letters 250 (1996) 75-79
38. Chase Jr. M.W. NIST-JANAF Tables 4 Vol. 9 (1998), AIP
39. Randall Y.B., Urdahl S., and Jackson W.M. Chemical Physics Letters 178 (1991) 425-428
40. Huber K.P., and Herzberg G. Molecular Spectra and Molecular Structure: Constants of Diatomic Molecules, Vol. 4 (1979), Van Nostrand Reinhold, New York
41. Bytautas L., and Ruedenberg K. J. Chem. Phys. 122 15 (2005) 154110
42. Joseph J., Clancy B., Luo L., Kinast J., Turlapov A., and Thomas J.E. Phys. Rev. Lett. 98 17 (2007) 170401
43. Astrakharchik G.E., Boronat J., Casulleras J., and Giorgini S. Phys. Rev. Lett. 93 20 (2004) 200404
44. S. Zhang, K.E. Schmidt, J. Carlson, private comunication..
45. Astrakharchik G.E., Boronat J., Casulleras J., and Giorgini S. Phys. Rev. Lett. 95 23 (2005) 230405
46. Damski B., Santos L., Tiemann E., Lewenstein M., Kotochigova S., Julienne P., and Zoller P. Phys. Rev. Lett. 90 11 (2003) 110401
47. W. Ketterle, M. Ignacio, and C. Salomon (Eds.), Ultracold Fermi Gases, Proceedings of the 2006 Varenna School on Ultra-Cold Fermi Gases, Societ Italiana di Fisica, Bologna, 2006.
48. DeMille D. Phys. Rev. Lett. 88 6 (2002) 067901
49. Baroni S., and Moroni S. Phys. Rev. Lett. 82 (1999) 4745
50. Burkatzki M., Filippi C., and Dolg M. J. Chem. Phys. 126 23 (2007) 234105
51. Fuentealba P., Preuss L., and Stoll H. Journal of Physics B: Atomic and Molecular Physics 18 7 (1985) 1287-1296