메뉴 건너뛰기




Volumn 110, Issue 10, 2013, Pages

Entanglement renormalization for quantum fields in real space

Author keywords

[No Author keywords available]

Indexed keywords

BOSON MODELS; CONTINUUM THEORY; MOMENTUM SPACES; MULTISCALES; NONRELATIVISTIC; QUANTUM FIELD; QUANTUM FIELD THEORY; REAL-SPACE; RENORMALIZATION; RENORMALIZATION GROUP; TRANSLATION INVARIANTS;

EID: 84874597572     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.100402     Document Type: Article
Times cited : (298)

References (53)
  • 1
    • 35949034896 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.47.773
    • K. G. Wilson, Rev. Mod. Phys. 47, 773 (1975). RMPHAT 0034-6861 10.1103/RevModPhys.47.773
    • (1975) Rev. Mod. Phys. , vol.47 , pp. 773
    • Wilson, K.G.1
  • 2
    • 1542317587 scopus 로고    scopus 로고
    • Deconfined Quantum Critical Points
    • DOI 10.1126/science.1091806
    • T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fischer, Science 303, 1490 (2004); SCIEAS 0036-8075 10.1126/science.1091806 (Pubitemid 38314412)
    • (2004) Science , vol.303 , Issue.5663 , pp. 1490-1494
    • Senthil, T.1    Vishwanath, A.2    Balents, L.3    Sachdev, S.4    Fisher, M.P.A.5
  • 3
    • 18144421189 scopus 로고    scopus 로고
    • Quantum phase transitions in the sub-ohmic spin-boson model: Failure of the quantum-classical mapping
    • DOI 10.1103/PhysRevLett.94.070604, 070604
    • M. Vojta, N.-H. Tong, and R. Bulla, Phys. Rev. Lett. 94, 070604 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.070604 (Pubitemid 40620706)
    • (2005) Physical Review Letters , vol.94 , Issue.7 , pp. 1-4
    • Vojta, M.1    Tong, N.-H.2    Bulla, R.3
  • 4
    • 4243766518 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.48.3626
    • M. Asorey, J. G. Esteve, and J. Salas, Phys. Rev. B 48, 3626 (1993); PRBMDO 0163-1829 10.1103/PhysRevB.48.3626
    • (1993) Phys. Rev. B , vol.48 , pp. 3626
    • Asorey, M.1    Esteve, J.G.2    Salas, J.3
  • 6
    • 33744692787 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.48.5863
    • S. D. Glazek and K. G. Wilson, Phys. Rev. D 48, 5863 (1993); PRVDAQ 0556-2821 10.1103/PhysRevD.48.5863
    • (1993) Phys. Rev. D , vol.48 , pp. 5863
    • Glazek, S.D.1    Wilson, K.G.2
  • 7
    • 0001297781 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.83.4914
    • S. Kehrein, Phys. Rev. Lett. 83, 4914 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.4914
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 4914
    • Kehrein, S.1
  • 8
    • 0037011724 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.230401
    • S. D. Glazek and K. G. Wilson, Phys. Rev. Lett. 89, 230401 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.230401
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 230401
    • Glazek, S.D.1    Wilson, K.G.2
  • 9
    • 3442895828 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
    • S. R. White, Phys. Rev. Lett. 69, 2863 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.R.1
  • 10
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • DOI 10.1103/RevModPhys.77.259
    • U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.259 (Pubitemid 41490660)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.1 , pp. 259-315
    • Schollwock, U.1
  • 12
    • 4244095121 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537
    • S. Östlund and S. Rommer, Phys. Rev. Lett. 75, 3537 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3537
    • Östlund, S.1    Rommer, S.2
  • 13
    • 46849106741 scopus 로고    scopus 로고
    • ADPHAH 0001-8732 10.1080/14789940801912366
    • F. Verstraete, J. I. Cirac, and V. Murg, Adv. Phys. 57, 143 (2008); ADPHAH 0001-8732 10.1080/14789940801912366
    • (2008) Adv. Phys. , vol.57 , pp. 143
    • Verstraete, F.1    Cirac, J.I.2    Murg, V.3
  • 14
    • 75849156359 scopus 로고    scopus 로고
    • JPHAC5 1751-8113 10.1088/1751-8113/42/50/504004
    • J. I. Cirac and F. Verstraete, J. Phys. A 42, 504004 (2009). JPHAC5 1751-8113 10.1088/1751-8113/42/50/504004
    • (2009) J. Phys. A , vol.42 , pp. 504004
    • Cirac, J.I.1    Verstraete, F.2
  • 16
    • 33749987043 scopus 로고    scopus 로고
    • Efficient approximation of the dynamics of one-dimensional quantum spin systems
    • DOI 10.1103/PhysRevLett.97.157202
    • T. J. Osborne, Phys. Rev. Lett. 97, 157202 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.157202 (Pubitemid 44570419)
    • (2006) Physical Review Letters , vol.97 , Issue.15 , pp. 157202
    • Osborne, T.J.1
  • 17
    • 41549155846 scopus 로고    scopus 로고
    • JSMTC6 1742-5468 10.1088/1742-5468/2007/08/P08024
    • M. B. Hastings, J. Stat. Mech. (2007) P08024; JSMTC6 1742-5468 10.1088/1742-5468/2007/08/P08024
    • J. Stat. Mech. , vol.2007 , pp. 08024
    • Hastings, M.B.1
  • 18
    • 77649149203 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.82.277
    • J. Eisert, M. Cramer, and M. B. Plenio, Rev. Mod. Phys. 82, 277 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.277
    • (2010) Rev. Mod. Phys. , vol.82 , pp. 277
    • Eisert, J.1    Cramer, M.2    Plenio, M.B.3
  • 19
    • 57249105556 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.78.205116
    • Z.-C. Gu, M. Levin, and X.-G. Wen, Phys. Rev. B 78, 205116 (2008); PRBMDO 1098-0121 10.1103/PhysRevB.78.205116
    • (2008) Phys. Rev. B , vol.78 , pp. 205116
    • Gu, Z.-C.1    Levin, M.2    Wen, X.-G.3
  • 21
    • 36549074539 scopus 로고    scopus 로고
    • Entanglement renormalization
    • DOI 10.1103/PhysRevLett.99.220405
    • G. Vidal, Phys. Rev. Lett. 99, 220405 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.220405 (Pubitemid 350191565)
    • (2007) Physical Review Letters , vol.99 , Issue.22 , pp. 220405
    • Vidal, G.1
  • 22
    • 55749099499 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.180503
    • V. Giovannetti, S. Montangero, and R. Fazio, Phys. Rev. Lett. 101, 180503 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.180503
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 180503
    • Giovannetti, V.1    Montangero, S.2    Fazio, R.3
  • 23
    • 64649089997 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.79.040301
    • R. N. C. Pfeifer, G. Evenbly, and G. Vidal, Phys. Rev. A 79, 040301 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.040301
    • (2009) Phys. Rev. A , vol.79 , pp. 040301
    • Pfeifer, R.N.C.1    Evenbly, G.2    Vidal, G.3
  • 24
    • 52149091646 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.110501
    • G. Vidal, Phys. Rev. Lett. 101, 110501 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.110501
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 110501
    • Vidal, G.1
  • 25
    • 65549170919 scopus 로고    scopus 로고
    • PRBMDO 1098-0121 10.1103/PhysRevB.79.144108
    • G. Evenbly and G. Vidal, Phys. Rev. B 79, 144108 (2009); PRBMDO 1098-0121 10.1103/PhysRevB.79.144108
    • (2009) Phys. Rev. B , vol.79 , pp. 144108
    • Evenbly, G.1    Vidal, G.2
  • 27
    • 84874583702 scopus 로고    scopus 로고
    • G. Vidal, arXiv:0912.1651.
    • G. Vidal, arXiv:0912.1651.
  • 28
    • 45749103288 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.100.240603
    • L. Cincio, J. Dziarmaga, and M. M. Rams, Phys. Rev. Lett. 100, 240603 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.240603
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 240603
    • Cincio, L.1    Dziarmaga, J.2    Rams, M.M.3
  • 29
    • 65549157856 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.180406
    • G. Evenbly and G. Vidal, Phys. Rev. Lett. 102, 180406 (2009); PRLTAO 0031-9007 10.1103/PhysRevLett.102.180406
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 180406
    • Evenbly, G.1    Vidal, G.2
  • 30
    • 77952028275 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.104.187203
    • G. Evenbly and G. Vidal, Phys. Rev. Lett. 104, 187203 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.187203
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 187203
    • Evenbly, G.1    Vidal, G.2
  • 32
    • 77953214583 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.81.050303
    • C. Pineda, T. Barthel, and J. Eisert, Phys. Rev. A 81, 050303 (2010). PLRAAN 1050-2947 10.1103/PhysRevA.81.050303
    • (2010) Phys. Rev. A , vol.81 , pp. 050303
    • Pineda, C.1    Barthel, T.2    Eisert, J.3
  • 33
    • 47749140681 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.80.885
    • I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.885
    • (2008) Rev. Mod. Phys. , vol.80 , pp. 885
    • Bloch, I.1    Dalibard, J.2    Zwerger, W.3
  • 34
    • 2842617037 scopus 로고
    • PHRVAO 0031-899X 10.1103/PhysRev.124.41
    • P. W. Anderson, Phys. Rev. 124, 41 (1961). PHRVAO 0031-899X 10.1103/PhysRev.124.41
    • (1961) Phys. Rev. , vol.124 , pp. 41
    • Anderson, P.W.1
  • 35
    • 49049152721 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(81)90361-8
    • H. B. Nielsen and M. Ninomiya, Nucl. Phys. B185, 20 (1981); NUPBBO 0550-3213 10.1016/0550-3213(81)90361-8
    • (1981) Nucl. Phys. , vol.185 , pp. 20
    • Nielsen, H.B.1    Ninomiya, M.2
  • 36
    • 24244478323 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(81)91026-1
    • H. B. Nielsen and M. Ninomiya, Phys. Lett. 105B, 219 (1981). PYLBAJ 0370-2693 10.1016/0370-2693(81)91026-1
    • (1981) Phys. Lett. , vol.105 , pp. 219
    • Nielsen, H.B.1    Ninomiya, M.2
  • 37
    • 77952403236 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.104.190405
    • F. Verstraete and J. I. Cirac, Phys. Rev. Lett. 104, 190405 (2010); PRLTAO 0031-9007 10.1103/PhysRevLett.104.190405
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 190405
    • Verstraete, F.1    Cirac, J.I.2
  • 38
    • 78650505510 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.260401
    • T. J. Osborne, J. Eisert, and F. Verstraete, Phys. Rev. Lett. 105, 260401 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.260401
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 260401
    • Osborne, T.J.1    Eisert, J.2    Verstraete, F.3
  • 42
    • 0039768613 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.71.666
    • M. Srednicki, Phys. Rev. Lett. 71, 666 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.666
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 666
    • Srednicki, M.1
  • 43
    • 4243671652 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(94)91007-3
    • C. G. Callan and F. Wilczek, Phys. Lett. B 333, 55 (1994); PYLBAJ 0370-2693 10.1016/0370-2693(94)91007-3
    • (1994) Phys. Lett. B , vol.333 , pp. 55
    • Callan, C.G.1    Wilczek, F.2
  • 45
    • 84901001853 scopus 로고    scopus 로고
    • JSMTC6 1742-5468 10.1088/1742-5468/2004/06/P06002
    • P. Calabrese and J. Cardy, J. Stat. Mech. (2004) P06002. JSMTC6 1742-5468 10.1088/1742-5468/2004/06/P06002
    • (2004) J. Stat. Mech. , pp. 06002
    • Calabrese, P.1    Cardy, J.2
  • 46
    • 33646453465 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.181602
    • S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96, 181602 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.181602
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 181602
    • Ryu, S.1    Takayanagi, T.2
  • 47
    • 33748289532 scopus 로고    scopus 로고
    • JHEPFG 1029-8479 10.1088/1126-6708/2006/08/045
    • S. Ryu T. Takayanagi J. High Energy Phys. 08 (2006) 045. JHEPFG 1029-8479 10.1088/1126-6708/2006/08/045
    • J. High Energy Phys. , vol.2006 , Issue.8 , pp. 045
    • Ryu, S.1    Takayanagi, T.2
  • 48
    • 33746640926 scopus 로고    scopus 로고
    • Lieb-Robinson bounds and the generation of correlations and topological quantum order
    • DOI 10.1103/PhysRevLett.97.050401
    • S. Bravyi, M. B. Hastings, and F. Verstraete, Phys. Rev. Lett. 97, 050401 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.050401 (Pubitemid 44156696)
    • (2006) Physical Review Letters , vol.97 , Issue.5 , pp. 050401
    • Bravyi, S.1    Hastings, M.B.2    Verstraete, F.3
  • 49
    • 33750006566 scopus 로고    scopus 로고
    • General entanglement scaling laws from time evolution
    • DOI 10.1103/PhysRevLett.97.150404
    • J. Eisert and T. J. Osborne, Phys. Rev. Lett. 97, 150404 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.150404 (Pubitemid 44570427)
    • (2006) Physical Review Letters , vol.97 , Issue.15 , pp. 150404
    • Eisert, J.1    Osborne, T.J.2
  • 50
    • 52149091646 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.110501
    • G. Vidal, Phys. Rev. Lett. 101, 110501 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.110501
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 110501
    • Vidal, G.1
  • 51
    • 84866251949 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.86.065007
    • B. Swingle, Phys. Rev. D 86, 065007 (2012). PRVDAQ 1550-7998 10.1103/PhysRevD.86.065007
    • (2012) Phys. Rev. D , vol.86 , pp. 065007
    • Swingle, B.1
  • 53
    • 81755172023 scopus 로고    scopus 로고
    • JSTPBS 0022-4715 10.1007/s10955-011-0237-4
    • G. Evenbly and G. Vidal, J. Stat. Phys. 145, 891 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0237-4
    • (2011) J. Stat. Phys. , vol.145 , pp. 891
    • Evenbly, G.1    Vidal, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.