Density matrix renormalization group approach to the spin-boson model

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 17, 2008, Pages

  Wong, Hang ^a   Chen, Zhi De ^a  

^a JINAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44449086479     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.174305     Document Type: Article

References (33)

1. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992)
2. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.10345 48, 10345 (1993).
3. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005).
4. C. Zhang, E. Jeckelmann, and S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2661 80, 2661 (1998).
5. A. Weiße, H. Fehske, G. Wellein, and A. R. Bishop, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.R747 62, R747 (2000).
6. B. Friedman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.6701 61, 6701 (2000).
7. Y. Nishiyama, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510051037 12, 547 (1999).
8. A. Leggett, S. Chakravarty, A. Dorsey, M. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.59.1 59, 1 (1987).
9. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
10. H. Spohn and R. Dümcke, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01009015 41, 389 (1985).
11. S. K. Kehrein and A. Mielke, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(96)00475-6 219, 313 (1996).
12. R. Silbey and R. Harris, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447055 80, 2615 (1984).
13. A. Chin and M. Turlakov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.075311 73, 075311 (2006).
14. H. Wong and Z.-D. Chen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.077301 76, 077301 (2007).
15. Z. Lü and H. Zheng, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.054302 75, 054302 (2007).
16. R. Bulla, N.-H. Tong, and M. Vojta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.170601 91, 170601 (2003)
17. R. Bulla, H.-J. Lee, N.-H. Tong, and M. Vojta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.045122 71, 045122 (2005).
18. M.-R. Li, K. Le Hur, and W. Hofstetter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.086406 95, 086406 (2005).
19. S. Sachdev, Quantum Phase Transition (Cambridge University Press, Cambridge, England, 1999).
20. M. Vojta, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/66/12/R01 66, 2069 (2003).
21. Z.-D. Chen and H. Wong, arXiv:0705.1670 (unpublished).
22. Ö. Legeza and G. Fáth, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.14349 53, 14349 (1996).
23. This is rigorous for targeting pure state. However, for simplicity, we can keep two states here even though we target more than one states because the error can be reduced in the following sweeping process.
24. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.180403 72, 180403 (R) (2005).
25. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 3633 77, 3633 (1996).
26. R. Bulla, T. Costi, and T. Pruschke, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.395 80, 395 (2008).
27. F. B. Anders, R. Bulla, and M. Vojta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.210402 98, 210402 (2007).
28. K. Le Hur, P. Doucet-Beaupré, and W. Hofstetter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.126801 99, 126801 (2007).
29. C. Degli Esposti Boschi and F. Ortolani, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2004-00344-1 41, 503 (2004).
30. M. Capone and S. Caprara, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.184418 64, 184418 (2001).
31. A. Juozapavičius, S. Caprara, and A. Rosengren, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.11097 56, 11097 (1997).
32. A. Juozapavičius, L. Urba, S. Caprara, and A. Rosengren, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.14771 60, 14771 (1999).
33. J. Baglama, D. Calvetti, and L. Reichel, ACM Trans. Math. Softw. ACMSCU 0098-3500 10.1145/838250.838257 29, 337 (2003).