Excitation gap from optimized correlation functions in quantum Monte Carlo simulations

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

Volumn 85, Issue 3, 2012, Pages

  Hen, Itay ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION FUNCTION; EXCITATION GAPS; FIRST EXCITED STATE; MANY-BODY SYSTEMS; QUANTUM MONTE CARLO SIMULATIONS;

MONTE CARLO METHODS;

OPTIMIZATION;

EID: 84859080885     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.036705     Document Type: Article

References (30)

1. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics (Cambridge, Cambridge University Press, 2005).
2. M. E. J. Newman and G. T. Barkema, Monte Carlo Methods in Statistical Physics (Oxford, Clarendon Press, 1999).
3. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
4. K. Hallberg, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730600766432 55, 477 (2006). (Pubitemid 44773295)
5. M. Takahashi, in Quantum Monte Carlo Methods in Condensed Matter Physics, edited by, M. Suzuki, (Singapore, World Scientific, 1993).
6. B. Berg, A. Billoire, and C. Rebbi, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(82)90232-9 142, 185 (1982).
7. G. Fox, R. Gupta, O. Martin, and S. Otto, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(82)90384-4 205, 188 (1982).
8. K. Langfeld, H. Reinhardt, and O. Tennert, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.56.6798 56, 6798 (1997).
9. V. J. Emery and A. M. Sessler, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.119.248 119, 248 (1960).
10. M. C. Jain and Y. R. Waghmare, J. Phys. A: Gen. Phys. JPHAC5 0305-4470 10.1088/0305-4470/3/3/013 3, 274 (1970).
11. W. J. Hehre, A Guide to Molecular Mechanics and Quantum Chemical Calculations (Wavefunction Inc., Irvine, CA, 2003).
12. D. M. Ceperley and B. Bernu, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.455398 89, 6316 (1988).
13. D. Blume, M. Lewerenz, P. Niyaz, and K. B. Whaley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.55.3664 55, 3664 (1997).
14. D. Blume, M. Lewerenz, and K. B. Whaley, Math. Comput. Simulat. MCSIDR 0378-4754 10.1016/S0378-4754(98)00098-6 47, 133 (1998).
15. P. Huang, A. Viel, and K. B. Whaley, Recent Advances in Quantum Monte Carlo Methods Part II (World Scientific, Singapore, 2002).
16. U. Wolff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.361 62, 361 (1989).
17. S. Güsken, U. Löw, K. H. Mütter, R. Sommer, A. Patel, and K. Schilling, Phys. Lett. B PYLBAJ 0370-2693 10.1016/S0370-2693(89)80034-6 227, 266 (1989).
18. C. Best, M. Göckeler, R. Horsley, E. M. Ilgenfritz, H. Perlt, P. Rakow, A. Schäfer, G. Schierholz, A. Schiller, and S. Schramm, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.56.2743 56, 2743 (1997).
19. A. W. Sandvik and R. R. P. Singh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.528 86, 528 (2001). (Pubitemid 32136499)
20. E. Farhi, J. Goldstone, S. Gutmann, J. Lapan, A. Lundgren, and D. Preda, Science 0036-8075 10.1126/science.1057726 292, 472 (2001);
21. a longer version of the paper appeared in e-print arXiv: quant-ph/0104129.
22. I. Hen and A. P. Young, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.061152 84, 061152 (2011).
23. A. P. Young, S. Knysh, and V. N. Smelyanskiy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.170503 101, 170503 (2008).
24. A. P. Young, S. Knysh, and V. N. Smelyanskiy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.020502 104, 020502 (2010).
25. M. K. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness (H. H. Freeman, New York, 1997).
26. A. W. Sandvik, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.R14157 59, R14157 (1999).
27. A. W. Sandvik, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/13/017 25, 3667 (1992).
28. E. Farhi, J. Goldstone, D. Gosset, S. Gutmann, H. B. Meyer, and P. Shor, Quantum Inf. Comput. 11, 181 (2011).
29. F. Krzakala, A. Rosso, G. Semerjian, and F. Zamponi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.134428 78, 134428 (2008).
30. O. F. Syljuasen and A. W. Sandvik, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.046701 66, 046701 (2002). (Pubitemid 40606337)