-
3
-
-
68949156987
-
-
arXiv:cond-mat/0702377 (unpublished).
-
Z. Nussinov and G. Ortiz, arXiv:cond-mat/0702377 (unpublished).
-
-
-
Nussinov, Z.1
Ortiz, G.2
-
4
-
-
68949164482
-
-
However, the existence of a mapping from a system with topological order to a system with symmetry-breaking order is possible, as shown for the Kitaev model (Ref.).
-
However, the existence of a mapping from a system with topological order to a system with symmetry-breaking order is possible, as shown for the Kitaev model (Ref.).
-
-
-
-
5
-
-
30444456387
-
-
10.1016/j.aop.2005.10.005
-
A. Kitaev, Ann. Phys. 321, 2 (2006). 10.1016/j.aop.2005.10.005
-
(2006)
Ann. Phys.
, vol.321
, pp. 2
-
-
Kitaev, A.1
-
6
-
-
0037268624
-
-
10.1016/S0003-4916(02)00018-0
-
A. Yu. Kitaev, Ann. Phys. 303, 2 (2003). 10.1016/S0003-4916(02)00018-0
-
(2003)
Ann. Phys.
, vol.303
, pp. 2
-
-
Yu. Kitaev, A.1
-
7
-
-
33745623406
-
-
S. Das Sarma, M. Freedman, and C. Nayak, Phys. Today 59 (7), 32 (2006).
-
(2006)
Phys. Today
, vol.59
, Issue.7
, pp. 32
-
-
Das Sarma, S.1
Freedman, M.2
Nayak, C.3
-
8
-
-
36749088019
-
-
10.1073/pnas.0709075104;
-
C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma, Proc. Natl. Acad. Sci. U.S.A. 104, 18415 (2007) 10.1073/pnas.0709075104
-
(2007)
Proc. Natl. Acad. Sci. U.S.A.
, vol.104
, pp. 18415
-
-
Zhang, C.1
Scarola, V.W.2
Tewari, S.3
Das Sarma, S.4
-
11
-
-
44849100166
-
-
10.1038/nphys943;
-
L. Jiang, Gavin K. Brennen, Alexey V. Gorshkov, Klemens Hammerer, Mohammad Hafezi, Eugene Demler, Mikhail D. Lukin, and Peter Zoller, Nat. Phys. 4, 482 (2008) 10.1038/nphys943
-
(2008)
Nat. Phys.
, vol.4
, pp. 482
-
-
Jiang, L.1
Brennen, G.K.2
Gorshkov, A.V.3
Hammerer, K.4
Hafezi, M.5
Demler, E.6
Lukin, M.D.7
Zoller, P.8
-
12
-
-
58149236715
-
-
10.1103/PhysRevLett.101.260501
-
M. Aguado, G. K. Brennen, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. 101, 260501 (2008). 10.1103/PhysRevLett.101.260501
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 260501
-
-
Aguado, M.1
Brennen, G.K.2
Verstraete, F.3
Cirac, J.I.4
-
17
-
-
68949156988
-
-
arXiv:0704.2945 (unpublished).
-
H.-Q. Zhou, arXiv:0704.2945 (unpublished).
-
-
-
Zhou, H.-Q.1
-
20
-
-
68949141411
-
-
arXiv:0803.0585 (unpublished).
-
H.-Q. Zhou, arXiv:0803.0585 (unpublished).
-
-
-
Zhou, H.-Q.1
-
21
-
-
68949152496
-
-
It is a difficult task to evaluate the ground state fidelity per site if a quantum lattice system is not exactly solvable. However, thanks to the latest advances in classical simulations of quantum lattice systems (Refs.), a practical way to compute it is now available using the tensor network algorithms for translationally invariant infinite-size quantum lattice systems (Ref.).
-
It is a difficult task to evaluate the ground state fidelity per site if a quantum lattice system is not exactly solvable. However, thanks to the latest advances in classical simulations of quantum lattice systems (Refs.), a practical way to compute it is now available using the tensor network algorithms for translationally invariant infinite-size quantum lattice systems (Ref.).
-
-
-
-
22
-
-
68949152497
-
-
arXiv:cond-mat/0611167 (unpublished).
-
R. J. Baxter, arXiv:cond-mat/0611167 (unpublished).
-
-
-
Baxter, R.J.1
-
23
-
-
33749345011
-
-
Another fidelity approach to QPTs is based on the fidelity between two neighboring states, see 10.1103/PhysRevE.74.031123;
-
Another fidelity approach to QPTs is based on the fidelity between two neighboring states, see P. Zanardi and N. Paunković, Phys. Rev. E 74, 031123 (2006) 10.1103/PhysRevE.74.031123
-
(2006)
Phys. Rev. e
, vol.74
, pp. 031123
-
-
Zanardi, P.1
Paunković, N.2
-
25
-
-
33947301917
-
-
10.1103/PhysRevB.75.115119;
-
N. Oelkers and J. Links, Phys. Rev. B 75, 115119 (2007) 10.1103/PhysRevB.75.115119
-
(2007)
Phys. Rev. B
, vol.75
, pp. 115119
-
-
Oelkers, N.1
Links, J.2
-
28
-
-
33947256773
-
-
10.1103/PhysRevLett.98.110601;
-
P. Buonsante and A. Vezzani, Phys. Rev. Lett. 98, 110601 (2007) 10.1103/PhysRevLett.98.110601
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 110601
-
-
Buonsante, P.1
Vezzani, A.2
-
30
-
-
37049015409
-
-
10.1103/PhysRevE.76.061108;
-
S. Chen, L. Wang, S.-J. Gu, and Y. Wang, Phys. Rev. E 76, 061108 (2007) 10.1103/PhysRevE.76.061108
-
(2007)
Phys. Rev. e
, vol.76
, pp. 061108
-
-
Chen, S.1
Wang, L.2
Gu, S.-J.3
Wang, Y.4
-
31
-
-
45249110391
-
-
10.1103/PhysRevB.77.245109;
-
S. J. Gu, H. M. Kwok, W. Q. Ning, and H. Q. Lin, Phys. Rev. B 77, 245109 (2008) 10.1103/PhysRevB.77.245109
-
(2008)
Phys. Rev. B
, vol.77
, pp. 245109
-
-
Gu, S.J.1
Kwok, H.M.2
Ning, W.Q.3
Lin, H.Q.4
-
32
-
-
40749119784
-
-
10.1103/PhysRevA.77.012311;
-
Y. C. Tzeng and M. F. Yang, Phys. Rev. A 77, 012311 (2008) 10.1103/PhysRevA.77.012311
-
(2008)
Phys. Rev. A
, vol.77
, pp. 012311
-
-
Tzeng, Y.C.1
Yang, M.F.2
-
33
-
-
41449097421
-
-
10.1103/PhysRevA.77.032111;
-
S. Chen, L. Wang, Y. Hao, and Y. Wang, Phys. Rev. A 77, 032111 (2008) 10.1103/PhysRevA.77.032111
-
(2008)
Phys. Rev. A
, vol.77
, pp. 032111
-
-
Chen, S.1
Wang, L.2
Hao, Y.3
Wang, Y.4
-
34
-
-
51749120730
-
-
10.1103/PhysRevB.78.115410
-
L. Campos Venuti, M. Cozzini, P. Buonsante, F. Massel, N. Bray-Ali, and P. Zanardi, Phys. Rev. B 78, 115410 (2008). 10.1103/PhysRevB.78.115410
-
(2008)
Phys. Rev. B
, vol.78
, pp. 115410
-
-
Campos Venuti, L.1
Cozzini, M.2
Buonsante, P.3
Massel, F.4
Bray-Ali, N.5
Zanardi, P.6
-
35
-
-
36049013005
-
-
10.1103/PhysRevB.76.180403;
-
M. F. Yang, Phys. Rev. B 76, 180403 (R) (2007) 10.1103/PhysRevB.76.180403
-
(2007)
Phys. Rev. B
, vol.76
, pp. 180403
-
-
Yang, M.F.1
-
36
-
-
51349105885
-
-
10.1088/1742-5468/2008/07/P07011
-
J. O. Fjaerestad, J. Stat. Mech. 2008, P07011 (2008). 10.1088/1742-5468/2008/07/P07011
-
(2008)
J. Stat. Mech.
, vol.2008
, pp. 07011
-
-
Fjaerestad, J.O.1
-
37
-
-
68949150499
-
-
arXiv:cond-mat/0703633 (unpublished).
-
H.-D. Chen and Z. Nussinov, arXiv:cond-mat/0703633 (unpublished).
-
-
-
Chen, H.-D.1
Nussinov, Z.2
-
40
-
-
35848938732
-
-
10.1103/PhysRevB.76.193101
-
H.-D. Chen and J. P. Hu, Phys. Rev. B 76, 193101 (2007). 10.1103/PhysRevB.76.193101
-
(2007)
Phys. Rev. B
, vol.76
, pp. 193101
-
-
Chen, H.-D.1
Hu, J.P.2
-
42
-
-
33846978099
-
-
10.1103/PhysRevLett.98.070201
-
G. Vidal, Phys. Rev. Lett. 98, 070201 (2007). 10.1103/PhysRevLett.98. 070201
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 070201
-
-
Vidal, G.1
-
43
-
-
58149204392
-
-
10.1103/PhysRevLett.101.250602
-
J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. 101, 250602 (2008). 10.1103/PhysRevLett.101.250602
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 250602
-
-
Jordan, J.1
Orús, R.2
Vidal, G.3
Verstraete, F.4
Cirac, J.I.5
-
44
-
-
52149091646
-
-
10.1103/PhysRevLett.101.110501
-
G. Vidal, Phys. Rev. Lett. 101, 110501 (2008). 10.1103/PhysRevLett.101. 110501
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 110501
-
-
Vidal, G.1
-
45
-
-
36549074539
-
-
10.1103/PhysRevLett.99.220405;
-
G. Vidal, Phys. Rev. Lett. 99, 220405 (2007) 10.1103/PhysRevLett.99. 220405
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 220405
-
-
Vidal, G.1
-
46
-
-
65549170919
-
-
10.1103/PhysRevB.79.144108;
-
G. Evenbly and G. Vidal, Phys. Rev. B 79, 144108 (2009) 10.1103/PhysRevB.79.144108
-
(2009)
Phys. Rev. B
, vol.79
, pp. 144108
-
-
Evenbly, G.1
Vidal, G.2
-
48
-
-
68949152491
-
-
This amounts to the statement that the fidelity per lattice site does not depend on which state has been chosen among degenerate states in the ground state subspace for a system with topological order. This has been shown for different states of the toric code (Ref.). That is, the tensor network representation for different states shares the same tensors except for their top tensor, where the relevant topological information is stored. Such a difference does not contribute to the fidelity per lattice site.
-
This amounts to the statement that the fidelity per lattice site does not depend on which state has been chosen among degenerate states in the ground state subspace for a system with topological order. This has been shown for different states of the toric code (Ref.). That is, the tensor network representation for different states shares the same tensors except for their top tensor, where the relevant topological information is stored. Such a difference does not contribute to the fidelity per lattice site.
-
-
-
-
49
-
-
68949155085
-
-
For generic Jx, Jy, and Jz, we have k1 =1/ (8 π2 Jx Jy).
-
For generic Jx, Jy, and Jz, we have k1 =1/ (8 π2 Jx Jy).
-
-
-
-
50
-
-
0003480237
-
-
edited by C. Domb and J. L. Lebowitz (Academic, London
-
M. N. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1983), Vol. 8.
-
(1983)
Phase Transitions and Critical Phenomena
, vol.8
-
-
Barber, M.N.1
-
51
-
-
40849088480
-
-
10.1103/PhysRevLett.100.070404
-
M. Aguado and G. Vidal, Phys. Rev. Lett. 100, 070404 (2008). 10.1103/PhysRevLett.100.070404
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 070404
-
-
Aguado, M.1
Vidal, G.2
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