메뉴 건너뛰기




Volumn 83, Issue 11, 2011, Pages

Tensor network states and algorithms in the presence of a global U(1) symmetry

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79961062857     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.115125     Document Type: Article
Times cited : (310)

References (75)
  • 2
    • 4244095121 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537
    • S. Ostlund and S. Rommer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3537 75, 3537 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 3537
    • Ostlund, S.1    Rommer, S.2
  • 4
    • 35949034896 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.47.773
    • K. G. Wilson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.47.773 47, 773 (1975).
    • (1975) Rev. Mod. Phys. , vol.47 , pp. 773
    • Wilson, K.G.1
  • 5
    • 3442895828 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
    • S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
    • White, S.R.1
  • 6
    • 20044389808 scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.48.10345
    • S. R. White, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.48.10345 48, 10345 (1993).
    • (1993) Phys. Rev. B , vol.48 , pp. 10345
    • White, S.R.1
  • 7
    • 23844520141 scopus 로고    scopus 로고
    • The density-matrix renormalization group
    • DOI 10.1103/RevModPhys.77.259
    • U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005). (Pubitemid 41490660)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.1 , pp. 259-315
    • Schollwock, U.1
  • 8
    • 79961052241 scopus 로고    scopus 로고
    • I. P. McCulloch, e-print arXiv: 0804.2509v1 (unpublished)
    • I. P. McCulloch, e-print arXiv: 0804.2509v1 (unpublished).
  • 9
    • 0242425255 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
    • G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 147902
    • Vidal, G.1
  • 10
    • 4344570203 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502
    • G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 040502
    • Vidal, G.1
  • 11
    • 33846978099 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201
    • G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201 98, 070201 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 070201
    • Vidal, G.1
  • 13
    • 19444381068 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401
    • S. R. White and A. E. Feiguin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401 93, 076401 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 076401
    • White, S.R.1    Feiguin, A.E.2
  • 16
    • 36549074539 scopus 로고    scopus 로고
    • Entanglement renormalization
    • DOI 10.1103/PhysRevLett.99.220405
    • G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.220405 99, 220405 (2007). (Pubitemid 350191565)
    • (2007) Physical Review Letters , vol.99 , Issue.22 , pp. 220405
    • Vidal, G.1
  • 17
    • 52149091646 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.110501
    • G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 110501 101, 110501 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 110501
    • Vidal, G.1
  • 18
    • 65549170919 scopus 로고    scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.79.144108
    • G. Evenbly and G. Vidal, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79.144108 79, 144108 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 144108
    • Evenbly, G.1    Vidal, G.2
  • 19
    • 55749099499 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.180503
    • V. Giovannetti, S. Montangero, and R. Fazio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.180503 101, 180503 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 180503
    • Giovannetti, V.1    Montangero, S.2    Fazio, R.3
  • 20
    • 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 PLRAAN 1050-2947 10.1103/PhysRevA.79.040301 79, 040301 (R) (2009).
    • (2009) Phys. Rev. A , vol.79 , pp. 040301
    • Pfeifer, R.N.C.1    Evenbly, G.2    Vidal, G.3
  • 22
    • 79961068006 scopus 로고    scopus 로고
    • F. Verstraete and J. I. Cirac, e-print arXiv: cond-mat/0407066v1 (unpublished)
    • F. Verstraete and J. I. Cirac, e-print arXiv: cond-mat/0407066v1 (unpublished).
  • 24
    • 0032280191 scopus 로고    scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.67.3066
    • T. Nishino and K. Okunishi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.67.3066 67, 3066 (1998).
    • (1998) J. Phys. Soc. Jpn. , vol.67 , pp. 3066
    • Nishino, T.1    Okunishi, K.2
  • 25
    • 79961057010 scopus 로고    scopus 로고
    • Y. Nishio, N. Maeshima, A. Gendiar, and T. Nishino, e-print arXiv: cond-mat/0401115v1 (unpublished)
    • Y. Nishio, N. Maeshima, A. Gendiar, and T. Nishino, e-print arXiv: cond-mat/0401115v1 (unpublished).
  • 28
    • 57249105556 scopus 로고    scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.78.205116
    • Z.-C. Gu, M. Levin, and X.-G. Wen, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.78.205116 78, 205116 (2008).
    • (2008) Phys. Rev. B , vol.78 , pp. 205116
    • Gu, Z.-C.1    Levin, M.2    Wen, X.-G.3
  • 29
    • 50849087740 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603
    • H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 090603
    • Jiang, H.C.1    Weng, Z.Y.2    Xiang, T.3
  • 31
    • 67649124890 scopus 로고    scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.79.195119
    • V. Murg, F. Verstraete, and J. I. Cirac, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79.195119 79, 195119 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 195119
    • Murg, V.1    Verstraete, F.2    Cirac, J.I.3
  • 32
    • 74949140295 scopus 로고    scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.80.235127
    • L. Tagliacozzo, G. Evenbly, and G. Vidal, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.80.235127 80, 235127 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 235127
    • Tagliacozzo, L.1    Evenbly, G.2    Vidal, G.3
  • 34
    • 77956306782 scopus 로고    scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.81.235102
    • G. Evenbly and G. Vidal, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.235102 81, 235102 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 235102
    • Evenbly, G.1    Vidal, G.2
  • 35
    • 77949502353 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/2/025007
    • G. Evenbly and G. Vidal, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/025007 12, 025007 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 025007
    • Evenbly, G.1    Vidal, G.2
  • 36
    • 40849088480 scopus 로고    scopus 로고
    • Entanglement renormalization and topological order
    • DOI 10.1103/PhysRevLett.100.070404
    • M. Aguado and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.070404 100, 070404 (2008). (Pubitemid 351393533)
    • (2008) Physical Review Letters , vol.100 , Issue.7 , pp. 070404
    • Aguado, M.1    Vidal, G.2
  • 37
    • 45749103288 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.100.240603
    • L. Cincio, J. Dziarmaga, and M. M. Rams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.240603 100, 240603 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 240603
    • Cincio, L.1    Dziarmaga, J.2    Rams, M.M.3
  • 38
    • 65549157856 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.180406
    • G. Evenbly and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.180406 102, 180406 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 180406
    • Evenbly, G.1    Vidal, G.2
  • 39
    • 67649452290 scopus 로고    scopus 로고
    • PRLTAO 1098-0121 10.1103/PhysRevB.79.195123
    • R. König, B. W. Reichardt, and G. Vidal, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.79.195123 79, 195123 (2009).
    • (2009) Phys. Rev. B , vol.79 , pp. 195123
    • König, R.1    Reichardt, B.W.2    Vidal, G.3
  • 40
    • 77952028275 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.104.187203
    • G. Evenbly and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.187203 104, 187203 (2010).
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 187203
    • Evenbly, G.1    Vidal, G.2
  • 43
    • 77953214583 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.81.050303
    • C. Pineda, T. Barthel, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.050303 81, 050303 (R) (2010).
    • (2010) Phys. Rev. A , vol.81 , pp. 050303
    • Pineda, C.1    Barthel, T.2    Eisert, J.3
  • 44
    • 72649091684 scopus 로고    scopus 로고
    • PLRAAN 1098-0121 10.1103/PhysRevB.80.165129
    • P. Corboz and G. Vidal, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.80.165129 80, 165129 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 165129
    • Corboz, P.1    Vidal, G.2
  • 45
    • 70350769126 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.80.042333
    • T. Barthel, C. Pineda, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.042333 80, 042333 (2009).
    • (2009) Phys. Rev. A , vol.80 , pp. 042333
    • Barthel, T.1    Pineda, C.2    Eisert, J.3
  • 46
    • 79961087691 scopus 로고    scopus 로고
    • Q.-Q. Shi, S.-H. Li, J.-H. Zhao, and H.-Q. Zhou, e-print arXiv: 0907.5520v1 (unpublished)
    • Q.-Q. Shi, S.-H. Li, J.-H. Zhao, and H.-Q. Zhou, e-print arXiv: 0907.5520v1 (unpublished).
  • 47
    • 79961076949 scopus 로고    scopus 로고
    • S.-H. Li, Q.-Q. Shi, and H.-Q. Zhou, e-print arXiv: 1001.3343v1 (unpublished)
    • S.-H. Li, Q.-Q. Shi, and H.-Q. Zhou, e-print arXiv: 1001.3343v1 (unpublished).
  • 48
    • 77955380339 scopus 로고    scopus 로고
    • PLRAAN 1098-0121 10.1103/PhysRevB.81.165104
    • P. Corboz, R. Orus, B. Bauer, and G. Vidal, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.81.165104 81, 165104 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 165104
    • Corboz, P.1    Orus, R.2    Bauer, B.3    Vidal, G.4
  • 49
    • 77956328981 scopus 로고    scopus 로고
    • PLRAAN 1098-0121 10.1103/PhysRevB.81.245110
    • I. Pizorn and F. Verstraete, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.81.245110 81, 245110 (2010).
    • (2010) Phys. Rev. B , vol.81 , pp. 245110
    • Pizorn, I.1    Verstraete, F.2
  • 50
    • 79961092036 scopus 로고    scopus 로고
    • Z.-C. Gu, F. Verstraete, and X.-G. Wen, e-print arXiv: 1004.2563v1 (unpublished)
    • Z.-C. Gu, F. Verstraete, and X.-G. Wen, e-print arXiv: 1004.2563v1 (unpublished).
  • 52
    • 78649568302 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.050301
    • S. Singh, R. N. C. Pfeifer, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.050301 82, 050301 (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 050301
    • Singh, S.1    Pfeifer, R.N.C.2    Vidal, G.3
  • 53
    • 79961087358 scopus 로고    scopus 로고
    • S. Singh and G. Vidal (unpublished)
    • S. Singh and G. Vidal (unpublished).
  • 55
    • 0031591565 scopus 로고    scopus 로고
    • NUPBBO 0550-3213 10.1016/S0550-3213(97)00217-4
    • G. Sierra and T. Nishino, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(97)00217-4 495, 505 (1997).
    • (1997) Nucl. Phys. B , vol.495 , pp. 505
    • Sierra, G.1    Nishino, T.2
  • 56
    • 4244204934 scopus 로고    scopus 로고
    • NUPBBO 1539-3755 10.1103/PhysRevE.61.3199
    • W. Tatsuaki, Phys. Rev. E NUPBBO 1539-3755 10.1103/PhysRevE.61.3199 61, 3199 (2000).
    • (2000) Phys. Rev. e , vol.61 , pp. 3199
    • Tatsuaki, W.1
  • 57
    • 0036340340 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2002-00393-0
    • I. P. McCulloch and M. Gulacsi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00393-0 57, 852 (2002).
    • (2002) Europhys. Lett. , vol.57 , pp. 852
    • McCulloch, I.P.1    Gulacsi, M.2
  • 59
    • 32644469281 scopus 로고    scopus 로고
    • Density matrix renormalization group and the nuclear shell model
    • DOI 10.1103/PhysRevC.73.014301
    • S. Pittel and N. Sandulescu, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.73.014301 73, 014301 (2006). (Pubitemid 43248439)
    • (2006) Physical Review C - Nuclear Physics , vol.73 , Issue.1 , pp. 014301
    • Pittel, S.1    Sandulescu, N.2
  • 60
    • 35948966063 scopus 로고    scopus 로고
    • 1742-5468 10.1088/1742-5468/2007/10/P10014
    • I. McCulloch, J. Stat. Mech.: Theor. Exp. 1742-5468 10.1088/1742-5468/ 2007/10/P10014 (2007) P10014.
    • J. Stat. Mech.: Theor. Exp. , vol.2007 , pp. 10014
    • McCulloch, I.1
  • 65
    • 77956582684 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/8/083065
    • D. Muth, B. Schmidt, and M. Fleischhauer, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/8/083065 12, 083065 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 083065
    • Muth, D.1    Schmidt, B.2    Fleischhauer, M.3
  • 67
    • 77951214738 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/3/033029
    • S. Singh, H.-Q. Zhou, and G. Vidal, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/3/033029 12, 033029 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 033029
    • Singh, S.1    Zhou, H.-Q.2    Vidal, G.3
  • 68
    • 77950508212 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.81.043602
    • Z. Cai, L. Wang, X. C. Xie, and Y. Wang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.043602 81, 043602 (2010).
    • (2010) Phys. Rev. A , vol.81 , pp. 043602
    • Cai, Z.1    Wang, L.2    Xie, X.C.3    Wang, Y.4
  • 71
    • 77956393216 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1016/j.aop.2010.05.008
    • N. Schuch, I. Cirac, and D. Perez-Garcia, Ann. Phys. APNYA6 0003-4916 10.1016/j.aop.2010.05.008 325, 2153 (2010).
    • (2010) Ann. Phys. , vol.325 , pp. 2153
    • Schuch, N.1    Cirac, I.2    Perez-Garcia, D.3
  • 72
    • 79961052950 scopus 로고    scopus 로고
    • B. Swingle and X.-G. Wen, e-print arXiv: 1001.4517v1 (unpublished)
    • B. Swingle and X.-G. Wen, e-print arXiv: 1001.4517v1 (unpublished).
  • 74
    • 79961045842 scopus 로고    scopus 로고
    • L. Tagliacozzo and G. Vidal, e-print arXiv: 1007.4145v1 (unpublished)
    • L. Tagliacozzo and G. Vidal, e-print arXiv: 1007.4145v1 (unpublished).
  • 75
    • 79961096283 scopus 로고    scopus 로고
    • The fundamental theorem of Abelian groups states that every finite Abelian group may be expressed as a direct sum of cyclic subgroups of prime-power order.
    • The fundamental theorem of Abelian groups states that every finite Abelian group may be expressed as a direct sum of cyclic subgroups of prime-power order.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.