Quantification of correlations in quantum many-particle systems

Physical Review Letters

Volumn 108, Issue 8, 2012, Pages

  Byczuk, Krzysztof ^a   Kuneš, Jan ^b   Hofstetter, Walter ^c   Vollhardt, Dieter ^d  

^a UNIVERSITY OF WARSAW   (Poland)

^b INSTITUTE OF PHYSICS   (Czech Republic)

^c GOETHE UNIVERSITY   (Germany)

^d UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY OPERATORS; DYNAMICAL MEAN-FIELD THEORY; INTERACTING ELECTRONS; MANY-PARTICLE SYSTEMS; TRANSITION-METAL OXIDES; VON NEUMANN ENTROPY;

TRANSITION METALS;

MEAN FIELD THEORY;

EID: 84857598536     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.087004     Document Type: Article

References (33)

1. N.F. Mott, Metal-Insulator Transitions (Taylor and Francis, London, 1990), 2nd ed.
2. M. Imada, A. Fujimori, and Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.1039 (Pubitemid 128159247)
3. Y. Tokura, Phys. Today PHTOAD 0031-9228 56, No. 7, 50 (2003). 10.1063/1.1603080
4. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.885
5. G.D. Mahan, Many-Particle Physics (Plenum, New York, 1990), 2nd ed.;
6. E.K.U. Gross, E. Runge, and O. Heinonen, Many-Particle Theory (Adam Hilger, Bristol, 1991).
7. R. Grobe, K. Rzazewski, and J.H. Eberly, J. Phys. B JPAPEH 0953-4075 27, L503 (1994). 10.1088/0953-4075/27/16/001
8. A.M. Oleś, F. Pfirsch, P. Fulde, and M.C. Böhm, Z. Phys. B ZPCMDN 0722-3277 66, 359 (1987). 10.1007/BF01305427
9. P. Ziesche, V.H. Smith, M. Hô, S.P. Rudin, P. Gersdorf, and M. Taut, J. Chem. Phys. 110, 6135 (1999). JCPSA6 0021-9606 10.1063/1.478560
10. A.D. Gottlieb and N.J. Mauser, Phys. Rev. Lett. 95, 123003 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.123003 (Pubitemid 41505671)
11. J.E. Harriman, Phys. Rev. A 75, 032513 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.75.032513 (Pubitemid 46481383)
12. See, for example, A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic Publishers, New York, Boston, Dordrecht, London, Moscow, 2002).
13. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. 81, 865 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.865
14. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978). RMPHAT 0034-6861 10.1103/RevModPhys.50.221
15. V. Vedral, Rev. Mod. Phys. 74, 197 (2002). RMPHAT 0034-6861 10.1103/RevModPhys.74.197
16. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.087004 for details regarding (i) the probabilistic interpretation of the relative entropy, (ii) the properties of the relative entropy and correlation measure, (iii) the computation of the diagonal elements of the statistical operator, and (iv) the LDA + DMFT computational scheme.
17. V. Vedral, M.B. Plenio, K. Jacobs, and P.L. Knight, Phys. Rev. A 56, 4452 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.56.4452
18. I. Bjelakovic, J.-D. Deuschel, T. Krueger, R. Seiler, Ra. Siegmund-Schultze, and A. Szkola, Commun. Math. Phys. 260, 659 (2005). CMPHAY 0010-3616 10.1007/s00220-005-1426-2 (Pubitemid 41521231)
19. B. Schumacher and M.D. Westmoreland, Contemp. Math. 305, 265 (2002). CTMAEH 1098-3627 10.1090/conm/305/05225
20. It is known that the quantum separability problem belongs to NP-hard computational problems, e.g., S. Gharibian, Quantum Inf. Comput. 10, 343 (2010). QICUAW 1533-7146
21. J. Risslera, R.M. Noack, and S.R. White, Chem. Phys. 323, 519 (2006). CMPHC2 0301-0104 10.1016/j.chemphys.2005.10.018
22. A. Rycerz, Eur. Phys. J. B EPJBFY 1434-6028 52, 291 (2006). 10.1140/epjb/e2006-00313-8 (Pubitemid 44202036)
23. V.V. Franca and K. Capelle, Phys. Rev. A 74, 042325 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.042325 (Pubitemid 44631124)
24. D. Larsson and H. Johannesson, Phys. Rev. A 73, 042320 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.042320 (Pubitemid 43667784)
25. L. Amico, R. Fazio, A. Osterloh, and Vlatko Vedral, Rev. Mod. Phys. 80, 517 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.517 (Pubitemid 351697445)
26. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.324
27. A. Georges, G. Kotliar, W. Krauth, and M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996). RMPHAT 0034-6861 10.1103/RevModPhys.68.13
28. G. Kotliar and D. Vollhardt, Phys. Today 57, No. 3, 53 (2004). PHTOAD 0031-9228 10.1063/1.1712502
29. R. Bulla, T.A. Costi, and Th. Pruschke, Rev. Mod. Phys. 80, 395 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.395 (Pubitemid 351533285)
30. K. Byczuk, W. Hofstetter, and D. Vollhardt, Phys. Rev. Lett. 102, 146403 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.146403
31. G. Kotliar, S.Y. Savrasov, K. Haule, V.S. Oudovenko, O. Parcollet, and C.A. Marianetti, Rev. Mod. Phys. 78, 865 (2006). RMPHAT 0034-6861 10.1103/RevModPhys.78.865
32. J. Kunes, A.V. Lukoyanov, V.I. Anisimov, R.T. Scalettar, and W.E. Pickett, Nature Mater. NMAACR 1476-1122 7, 198 (2008). 10.1038/nmat2115 (Pubitemid 351311294)
33. J. Kunes, V.I. Anisimov, S.L. Skornyakov, A.V. Lukoyanov, and D. Vollhardt, Phys. Rev. Lett. 99, 156404 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.156404 (Pubitemid 47551661)