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Volumn 79, Issue 4, 2009, Pages

Entanglement renormalization, scale invariance, and quantum criticality

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL FIELD THEORIES; CONTINUUM LIMITS; CRITICAL EXPONENTS; CRITICAL HAMILTONIANS; LATTICE MODELS; LOCAL OBSERVABLES; MULTI-SCALE; QUANTUM CRITICALITIES; RENORMALIZATION; SCALE INVARIANCES;

EID: 64649089997     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.040301     Document Type: Article
Times cited : (199)

References (23)
  • 1
    • 35949034896 scopus 로고
    • 10.1103/RevModPhys.47.773
    • K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975). 10.1103/RevModPhys.47.773
    • (1975) Rev. Mod. Phys. , vol.47 , pp. 773
    • Wilson, K.G.1
  • 2
    • 3442895828 scopus 로고
    • 10.1103/PhysRevLett.69.2863;
    • S. R. White, Phys. Rev. Lett. 69, 2863 (1992) 10.1103/PhysRevLett.69.2863
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.R.1
  • 3
    • 20044389808 scopus 로고
    • 10.1103/PhysRevB.48.10345
    • S. R. White, Phys. Rev. B 48, 10345 (1993). 10.1103/PhysRevB.48.10345
    • (1993) Phys. Rev. B , vol.48 , pp. 10345
    • White, S.R.1
  • 4
    • 36549074539 scopus 로고    scopus 로고
    • 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
  • 5
  • 6
    • 64649103248 scopus 로고    scopus 로고
    • e-print arXiv:0801.2449v1
    • e-print arXiv:0801.2449v1.
  • 7
    • 52149091646 scopus 로고    scopus 로고
    • 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
  • 8
    • 40849088480 scopus 로고    scopus 로고
    • 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
  • 11
    • 64649107393 scopus 로고    scopus 로고
    • arXiv:0707.1454v3, Phys. Rev. B (to be published).
    • G. Evenbly and G. Vidal, e-print arXiv:0707.1454v3, Phys. Rev. B (to be published).
    • Evenbly, G.1    Vidal, G.2
  • 14
    • 64649089766 scopus 로고    scopus 로고
    • In Ref. the ascending, descending, and scaling superoperators were called quantum MERA channel and MERA transfer matrix. We emphasize that these superoperators, an essential part of the MERA formalism, were introduced in Ref. (see, e.g., Fig. 5 of Ref. for an explicit construction of the descending superoperator, where it is also evident that it is a quantum channel).
    • In Ref. the ascending, descending, and scaling superoperators were called quantum MERA channel and MERA transfer matrix. We emphasize that these superoperators, an essential part of the MERA formalism, were introduced in Ref. (see, e.g., Fig. 5 of Ref. for an explicit construction of the descending superoperator, where it is also evident that it is a quantum channel).
  • 16
    • 64649088205 scopus 로고    scopus 로고
    • Our numerics show that the lowest nΔ scaling dimensions fulfill Δα (1) Δα Δα CFT, where nΔ grows with χ.
    • Our numerics show that the lowest nΔ scaling dimensions fulfill Δα (1) Δα Δα CFT, where nΔ grows with χ.
  • 17
    • 64649084878 scopus 로고    scopus 로고
    • Alternatively, the central charge c can be evaluated from the two- and three-point correlators of the stress energy tensor as explored elsewhere
    • Alternatively, the central charge c can be evaluated from the two- and three-point correlators of the stress energy tensor as explored elsewhere (J. I. Latorre, private communication).
    • Latorre, J.I.1
  • 20
    • 64649091066 scopus 로고    scopus 로고
    • In practice we only compute the first k terms (k 2,3) of the expansion h̄ = h0 + h1 /3+ h2 /9+. This average is only needed when H contains operators that are irrelevant in the RG sense.
    • In practice we only compute the first k terms (k 2,3) of the expansion h̄ = h0 + h1 /3+ h2 /9+. This average is only needed when H contains operators that are irrelevant in the RG sense.
  • 21
    • 0000977044 scopus 로고
    • 10.1088/0305-4470/17/7/003;
    • J. Cardy, J. Phys. A 17, L385 (1984) 10.1088/0305-4470/17/7/003
    • (1984) J. Phys. A , vol.17 , pp. 385
    • Cardy, J.1
  • 22
    • 0011402903 scopus 로고
    • 10.1016/0550-3213(86)90552-3
    • J. Cardy Nucl. Phys. B 270, 186 (1986). 10.1016/0550-3213(86)90552-3
    • (1986) Nucl. Phys. B , vol.270 , pp. 186
    • Cardy, J.1
  • 23


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.