Exact ground state Monte Carlo method for Bosons without importance sampling

Journal of Chemical Physics

Volumn 131, Issue 15, 2009, Pages

  Rossi, M ^a   Nava, M ^a   Reatto, L ^a   Galli, D E ^a  

^a UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BULK LIQUID; DENSITY MATRIX; DISCRETE PATH; EINSTEIN CRYSTAL; EXACT RESULTS; FINITE TEMPERATURES; FINITE TIME; GUIDING FUNCTION; IDEAL BOSE GAS; IMPORTANCE SAMPLING; LIQUID PHASE; MONTE CARLO; NONZERO OVERLAP; PATH INTEGRAL; QUANTUM MONTE CARLO; RADIAL DISTRIBUTION FUNCTIONS; RATE OF CONVERGENCE; STATIC STRUCTURE FACTORS; TIME EVOLUTIONS; ZERO TEMPERATURES;

APPROXIMATION THEORY; BOSONS; DISTRIBUTION FUNCTIONS; GROUND STATE; LIQUIDS; MONTE CARLO METHODS;

WAVE FUNCTIONS;

EID: 70449379385     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3247833     Document Type: Article

References (29)

1. M. H. Kalos, Phys. Rev. A 1050-2947 2, 250 (1970). 10.1103/PhysRevA.2.250
2. M. H. Kalos, D. Levesque, and L. Verlet, Phys. Rev. A 1050-2947 9, 2178 (1974). 10.1103/PhysRevA.9.2178
3. P. A. Whitlock, D. M. Ceperley, G. V. Chester, and M. H. Kalos, Phys. Rev. B 0163-1829 19, 5598 (1979). 10.1103/PhysRevB.19.5598
4. P. J. Reynolds, D. M. Ceperley, B. J. Alder, and W. A. Lester, J. Chem. Phys. 0021-9606 77, 5593 (1982). 10.1063/1.443766
5. A. Sarsa, K. E. Schmidt, and W. R. Magro, J. Chem. Phys. 0021-9606 113, 1366 (2000). 10.1063/1.481926 (Pubitemid 30901810)
6. S. Baroni and S. Moroni, Phys. Rev. Lett. 0031-9007 82, 4745 (1999). 10.1103/PhysRevLett.82.4745
7. D. M. Ceperley, Rev. Mod. Phys. 0034-6861 67, 279 (1995). 10.1103/RevModPhys.67.279
8. c Phys. Rev. Lett. 0031-9007 96, 070601 (2006) 10.1103/PhysRevLett.96. 070601; M. Boninsegni, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. E 1063-651X 74, 036701 (2006). 10.1103/PhysRevE.74.036701
9. J. E. Cuervo and P. -N. Roy, J. Chem. Phys. 0021-9606 125, 124314 (2006). 10.1063/1.2352735 (Pubitemid 44484204)
10. E. Vitali, M. Rossi, F. Tramonto, D. E. Galli, and L. Reatto, Phys. Rev. B 0163-1829 77, 180505 (R) (2008). 10.1103/PhysRevB.77.180505
11. S. A. Vitiello, K. Runge, and M. H. Kalos, Phys. Rev. Lett. 0031-9007 60, 1970 (1988). 10.1103/PhysRevLett.60.1970
12. S. Moroni, D. E. Galli, S. Fantoni, and L. Reatto, Phys. Rev. B 0163-1829 58, 909 (1998). 10.1103/PhysRevB.58.909
13. J. E. Cuervo, P. -N. Roy, and M. Boninsegni, J. Chem. Phys. 0021-9606 122, 114504 (2005). 10.1063/1.1872775
14. D. E. Galli and L. Reatto, Mol. Phys. 0026-8976 101, 1697 (2003) 10.1080/0026897031000074562.
15. D. E. Galli and L. Reatto, J. Low Temp. Phys. 0022-2291 136, 343 (2004). 10.1023/B:JOLT.0000041271.95836.2e
16. M. Boninsegni, J. Low Temp. Phys. 0022-2291 141, 27 (2005). 10.1007/s10909-005-7513-0 (Pubitemid 41335078)
17. R. A. Aziz, V. P. S. Nain, J. S. Carley, W. L. Taylor, and G. T. McConville, J. Chem. Phys. 0021-9606 70, 4330 (1979). 10.1063/1.438007
18. See, for example, J. Boronat and J. Casulleras, Phys. Rev. B 0163-1829 49, 8920 (1994). 10.1103/PhysRevB.49.8920
19. See, for instance, E. Feenberg, Theory of Quantum Fluids (Academic, New York, 1969).
20. W. L. McMillan, Phys. Rev. 0096-8250 138, A442 (1965). 10.1103/PhysRev.138.A442
21. T. MacFarland, S. A. Vitiello, L. Reatto, and G. V. Chester, Phys. Rev. B 0163-1829 50, 13577 (1994). 10.1103/PhysRevB.50.13577
22. K. Sakkos, J. Casulleras, and J. Boronat, J. Chem. Phys. 0021-9606 130, 204109 (2009). 10.1063/1.3143522
23. S. Pilati, Ph.D. thesis, Trento University, 2008.
24. P. T. Roach, J. B. Ketterson, and C. W. Woo, Phys. Rev. A 1050-2947 2, 543 (1970). 10.1103/PhysRevA.2.543
25. C. Mora and X. Waintal, Phys. Rev. Lett. 0031-9007 99, 030403 (2007). 10.1103/PhysRevLett.99.030403 (Pubitemid 47168671)
26. S. Moroni and M. Boninsegni, J. Low Temp. Phys. 0022-2291 136, 129 (2004). 10.1023/B:JOLT.0000038518.10132.30
27. J. Cao and B. J. Berne, J. Chem. Phys. 0021-9606 97, 2382 (1992) 10.1063/1.463076; L. M. Ses̀ and R. Ledesma, J. Chem. Phys. 0021-9606 102, 3776 (1995) 10.1063/1.468559; P. Grüter, D. M. Ceperley, and F. Lalo, Phys. Rev. Lett. 0031-9007 79, 3549 (1997). 10.1103/PhysRevLett.79.3549
28. C. Pierleoni, D. M. Ceperley, B. Bernu, and W. R. Magro, Phys. Rev. Lett. 0031-9007 73, 2145 (1994). 10.1103/PhysRevLett.73.2145
29. M. H. Müser and B. J. Berne, J. Chem. Phys. 0021-9606 107, 571 (1997). 10.1063/1.474442