-
1
-
-
84924581223
-
-
Cambridge University Press, Cambridge, UK
-
S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999).
-
(1999)
Quantum Phase Transitions
-
-
Sachdev, S.1
-
5
-
-
0037011956
-
-
M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
-
(2002)
Nature (London)
, vol.415
, pp. 39
-
-
Greiner, M.1
Mandel, O.2
Esslinger, T.3
Hänsch, T.W.4
Bloch, I.5
-
6
-
-
11744373290
-
-
E. Schrödinger, Naturwissenschaften 23, 807 (1935). English translation available in Proc. Am. Philos. Soc. 124, 323 (1980).
-
(1935)
Naturwissenschaften
, vol.23
, pp. 807
-
-
Schrödinger, E.1
-
7
-
-
11744373290
-
-
English translation available
-
E. Schrödinger, Naturwissenschaften 23, 807 (1935). English translation available in Proc. Am. Philos. Soc. 124, 323 (1980).
-
(1980)
Proc. Am. Philos. Soc.
, vol.124
, pp. 323
-
-
-
9
-
-
0036757880
-
-
T. J. Osborne and M. A. Nielsen, Quantum Inf. Process. 1, 45 (2002); Phys. Rev. A 66, 032110 (2002).
-
(2002)
Phys. Rev. A
, vol.66
, pp. 032110
-
-
-
10
-
-
0037061511
-
-
A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002).
-
(2002)
Nature (London)
, vol.416
, pp. 608
-
-
Osterloh, A.1
Amico, L.2
Falci, G.3
Fazio, R.4
-
12
-
-
0038115189
-
-
G. Vidai, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003).
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 227902
-
-
Vidai, G.1
Latorre, J.I.2
Rico, E.3
Kitaev, A.4
-
13
-
-
2142815836
-
-
H. Barnum, E. Knill, G. Ortiz, R. Somma, and L. Viola, e-print quant-ph/0305023
-
H. Barnum, E. Knill, G. Ortiz, R. Somma, and L. Viola, e-print quant-ph/0305023; Phys. Rev. Lett. 92, 107902 (2004).
-
-
-
-
14
-
-
2142815836
-
-
H. Barnum, E. Knill, G. Ortiz, R. Somma, and L. Viola, e-print quant-ph/0305023; Phys. Rev. Lett. 92, 107902 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 107902
-
-
-
15
-
-
85015772957
-
-
F. Verstraete, M. A. Martin-Delgado, and J. I. Cirac, e-print quant-ph/0311087
-
F. Verstraete, M. A. Martin-Delgado, and J. I. Cirac, e-print quant-ph/0311087.
-
-
-
-
16
-
-
4243216277
-
-
C. H. Bennett, D. P. DiVincenzo, J. Smolin, and W. Wootters, Phys. Rev. A 54, 3824 (1996).
-
(1996)
Phys. Rev. A
, vol.54
, pp. 3824
-
-
Bennett, C.H.1
Divincenzo, D.P.2
Smolin, J.3
Wootters, W.4
-
18
-
-
0242694954
-
-
H. Barnum, E. Knill, G. Ortiz, and L. Viola, Phys. Rev. A 68, 032308 (2003).
-
(2003)
Phys. Rev. A
, vol.68
, pp. 032308
-
-
Barnum, H.1
Knill, E.2
Ortiz, G.3
Viola, L.4
-
21
-
-
0037055131
-
-
The definition of entanglementlike notions in systems composed of indistinguishable particles has attracted considerable attention recently. See, for instance, K. Eckert, J. Schliemann, D. Bruss, and M. Lewenstein, Ann. Phys. (N.Y.) 299, 88 (2002).
-
(2002)
Ann. Phys. (N.Y.)
, vol.299
, pp. 88
-
-
Eckert, K.1
Schliemann, J.2
Bruss, D.3
Lewenstein, M.4
-
22
-
-
85015809930
-
-
note
-
The reduced state is the linear functional on the space spanned by the distinguished observables whose values on those observables are the expectation values given by the quantum state in question.
-
-
-
-
23
-
-
85015725337
-
-
note
-
i in the set.
-
-
-
-
25
-
-
85015772973
-
-
G. Ortiz, R. Somma, J. Dukelsky, and R. Rombouts, e-print cond-mat/0407429
-
G. Ortiz, R. Somma, J. Dukelsky, and R. Rombouts, e-print cond-mat/0407429.
-
-
-
-
44
-
-
85015799396
-
-
L. Viola, H. Barnum, E. Knill, R. Somma, and G. Ortiz, e-print quant-ph/0403044
-
L. Viola, H. Barnum, E. Knill, R. Somma, and G. Ortiz, e-print quant-ph/0403044.
-
-
-
-
46
-
-
0036542514
-
-
R. Somma, G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme, Phys. Rev. A 65, 042323 (2002).
-
(2002)
Phys. Rev. A
, vol.65
, pp. 042323
-
-
Somma, R.1
Ortiz, G.2
Gubernatis, J.E.3
Knill, E.4
Laflamme, R.5
-
47
-
-
85015720490
-
-
R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola (unpublished)
-
R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola (unpublished).
-
-
-
-
49
-
-
1942476523
-
-
Similarly, there are ways to rewrite Eq. (23) in terms of some algebras that are products of N "local" su(2)'s. This is related to the approach taken in J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A 69, 022107 (2004), which uses a standard entanglement measure, the concurrence, to study phase transitions in the LMG model. Such an approach implies algebras which are much larger than the su(2) subalgebra generated by the LMG Hamiltonians, and we would argue that the additional detail embodied in the partitions into "local" spins is distracting rather than helpful if one wants to study phase transitions in this particular model. Indeed, the critical behavior of the LMG model is governed by the expectations of collective operators.
-
(2004)
Phys. Rev. A
, vol.69
, pp. 022107
-
-
Vidal, J.1
Palacios, G.2
Mosseri, R.3
-
53
-
-
85015748064
-
-
F. Verstraete and J. I. Cirac, e-print quant-ph/0311130
-
F. Verstraete and J. I. Cirac, e-print quant-ph/0311130.
-
-
-
|