Fermionic projected entangled pair states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 5, 2010, Pages

  Kraus, Christina V ^a   Schuch, Norbert ^a   Verstraete, Frank ^b   Cirac, J Ignacio ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

FERMIONIC SYSTEMS; NATURAL EXTENSION; PROJECTED ENTANGLED PAIR STATE; SHORT RANGE INTERACTIONS; SIMULATION METHODS; SPATIAL DIMENSION; SPIN SYSTEMS; THERMAL STATE;

HAMILTONIANS; SPIN DYNAMICS;

FERMIONS;

EID: 77953178016     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.052338     Document Type: Article

References (27)

1. A. Klümper, A. Schadschneider, and J. Zittartz, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/16/012 24, L955 (1991);
2. A. Klümper, A. Schadschneider, and J. Zittartz, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01309281 87, 281 (1992).
3. S. Östlund and S. Rommer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537 75, 3537 (1995).
4. F. Verstraete, D. Porras, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.227205 93, 227205 (2004).
5. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
6. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005).
7. F. Verstraete and J. I. Cirac (2004), e-print arXiv: cond-mat/0407066.
8. F. Verstraete, V. Murg, and J. I. Cirac, Adv. Phys. ADPHAH 0001-8732 10.1080/14789940801912366 57, 143 (2008).
9. A. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01218021 115, 477 (1988).
10. N. Maeshima, Y. Hieida, Y. Akutsu, T. Nishino, and K. Okunishi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.016705 64, 016705 (2001).
11. M. B. Hastings, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.73.085115 73, 085115 (2006).
12. A. Isacsson and O. F. Syljuasen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.026701 74, 026701 (2006).
13. V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.033605 75, 033605 (2007).
14. V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.195119 79, 195119 (2008).
15. J. Jordan, R. Orus, and G. Vidal, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.174515 79, 174515 (2008).
16. F. Verstraete and J. I. Cirac, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2005/09/P09012 (2005) P09012.
17. G. Evenbly and G. Vidal (2007), e-print arXiv: 0710.0692.
18. D. Perez-Garcia, F. Verstraete, J. I. Cirac, and M. M. Wolf, Quantum Inf. Comput. 8, 0650 (2008).
19. J. Eisert, M. Cramer, and M. Plenio, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.277 82, 277 (2010).
20. M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 010404 96, 010404 (2006);
21. D. Gioev and I. Klich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100503 96, 100503 (2006).
22. F. Verstraete, J. J. Garcia-Ripoll, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.207204 93, 207204 (2004).
23. S. Bravyi, Quantum Inf. Comput. 5, 216 (2005).
24. N. Schuch, M. M. Wolf, and J. I. Cirac, in Quantum Information and Many Body Quantum Systems, Publications of the Scuola Normale Superiore, CRM Series, Vol. 8, edited by, M. Ericsson, and, S. Montangero, (Pisa, Edizioni della Normale, 2008), p. 174.
25. P. Corboz, R. Orus, B. Bauer, and G. Vidal, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.165104 81, 165104 (2010).
26. I. Pizorn and F. Verstraete, e-print arXiv: 1003.2743.
27. S. H. Li, Q. Q. Shi, and H. Q. Zhou, e-print arXiv: 1001.3343.