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Volumn 70, Issue 4, 2004, Pages

Nature and measure of entanglement in quantum phase transitions

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; ELEMENTARY PARTICLES; GROUND STATE; HAMILTONIANS; HELIUM; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PHASE TRANSITIONS;

EID: 19744382376     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.042311     Document Type: Review
Times cited : (118)

References (54)
  • 1
    • 84924581223 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 1999).
    • (1999) Quantum Phase Transitions
    • Sachdev, S.1
  • 6
    • 11744373290 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 13
    • 2142815836 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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.
  • 21
    • 0037055131 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • note
    • i in the set.
  • 25
    • 85015772973 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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.
  • 47
    • 85015720490 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • F. Verstraete and J. I. Cirac, e-print quant-ph/0311130
    • F. Verstraete and J. I. Cirac, e-print quant-ph/0311130.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.