Matrix product density operators: Simulation of finite-temperature and dissipative systems

Physical Review Letters

Volumn 93, Issue 20, 2004, Pages

  Verstraete, F ^a   Garcia Ripoll J J ^a   Cirac, J I ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; HAMILTONIANS; ITERATIVE METHODS; MAGNETIC FIELD EFFECTS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PROBLEM SOLVING;

INHOMOGENEOUS SYSTEMS; MATRIX PRODUCT DENSITY OPERATORS (MPDO); MATRIX PRODUCT STATES (MPS); QUANTUM MANY-BODY SYSTEMS;

QUANTUM THEORY;

EID: 19744374448     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.207204     Document Type: Article

References (25)

1. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
2. S. R. White, Phys. Rev. B 48, 10345 (1992).
3. See, for example, Density-Matrix Renormalization, edited by I. Peschel et al. (Springer-Verlag, Berlin, 1999).
4. R.J. Bursill et al., J. Phys. Condens. Matter 8, L583 (1996); N. Shibata, J. Phys. Soc. Jpn. 66, 2221 (1997); X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997).
5. R.J. Bursill et al., J. Phys. Condens. Matter 8, L583 (1996); N. Shibata, J. Phys. Soc. Jpn. 66, 2221 (1997); X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997).
6. R.J. Bursill et al., J. Phys. Condens. Matter 8, L583 (1996); N. Shibata, J. Phys. Soc. Jpn. 66, 2221 (1997); X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997).
7. T. Nishino, J. Phys. Soc. Jpn. 64, 3598 (1995).
8. J. I. Cirac and P. Zoller, Phys. Today 57, No. 3, 38 (2004).
9. M. A. Cazalilla and J. B. Marston, Phys. Rev. Lett. 88, 256403 (2002); H.G. Luo, T. Xiang, and X.Q. Wang, Phys. Rev. Lett. 91, 047901 (2003).
10. M. A. Cazalilla and J. B. Marston, Phys. Rev. Lett. 88, 256403 (2002); H.G. Luo, T. Xiang, and X.Q. Wang, Phys. Rev. Lett. 91, 047901 (2003).
11. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003).
12. S. R. White and A. E. Feiguin, cond-mat/0403310.
13. A. Daley et al., J. Stat. Mech.: Theor. Exp. P04005 (2004).
14. S. Ostlund and S. Rommer, Phys. Rev. Lett. 75, 3537 (1995); J. Dukelsky et al., Europhys. Lett. 43, 457 (1997).
15. S. Ostlund and S. Rommer, Phys. Rev. Lett. 75, 3537 (1995); J. Dukelsky et al., Europhys. Lett. 43, 457 (1997).
16. M. Pannes, B. Nachtergaele, and R. F. Werner, Commun. Math. Phys. 144, 443 (1992).
17. F. Verstraete, D. Porras, and J. I. Cirac, cond-mat/0404706.
18. G. Vidal et al., Phys. Rev. Lett. 90, 227902 (2003).
19. F. Verstraete, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. Lett. 92, 087201 (2004).
20. F. Verstraete and J. I. Cirac, quant-ph/0311130.
21. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
22. G. Vidal (private communication).
23. H. Carmichael, An Open Systems Approach to Quantum Optics (Springer-Verlag, Berlin, 1993).
24. H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. 86, 910 (2001).
25. C.W. Gardiner and P. Zoller, Quantum Noise (Springer-Verlag, Berlin, 2000).