메뉴 건너뛰기




Volumn 43, Issue 41, 2010, Pages

A matrix product solution for a nonequilibrium steady state of an XX chain

Author keywords

[No Author keywords available]

Indexed keywords


EID: 78649662357     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/41/415004     Document Type: Article
Times cited : (71)

References (27)
  • 1
    • 0000089371 scopus 로고
    • Equivalence and solution of anisotropic spin-1 models and generalized t-J fermion models in one dimension
    • Klümper A, Schadschneider A and Zittartz J 1991 Equivalence and solution of anisotropic spin-1 models and generalized t-J fermion models in one dimension J. Phys. A: Math. Gen. 24 L955
    • (1991) J. Phys. A: Math. Gen. , vol.24
    • Klümper, A.1    Schadschneider, A.2    Zittartz, J.3
  • 3
    • 36149048160 scopus 로고
    • Exact results for 2D directed animals on a strip of finite width
    • Hakim V and Nadal J P 1983 Exact results for 2D directed animals on a strip of finite width J. Phys. A: Math. Gen. 16 L213
    • (1983) J. Phys. A: Math. Gen. , vol.16
    • Hakim, V.1    Nadal, J.P.2
  • 4
    • 0009504187 scopus 로고
    • Valence bond ground states in isotropic quantum antiferromagnets
    • Affleck I, Kennedy T, Lieb E H and Tasaki H 1988 Valence bond ground states in isotropic quantum antiferromagnets Commun. Math. Phys. 115 477
    • (1988) Commun. Math. Phys. , vol.115 , pp. 477
    • Affleck, I.1    Kennedy, T.2    Lieb, E.H.3    Tasaki, H.4
  • 5
    • 0000781705 scopus 로고    scopus 로고
    • Models with exact ground states connecting smoothly the S = 1/2 dimer and S = 1 Haldane phases of one-dimensional spin chains
    • Kolezhuk A K and Mikeska H-J 1997 Models with exact ground states connecting smoothly the S = 1/2 dimer and S = 1 Haldane phases of one-dimensional spin chains Phys. Rev. B 56 R11380
    • (1997) Phys. Rev. B. , vol.56
    • Kolezhuk, A.K.1    Mikeska, H.-J.2
  • 6
    • 46849106741 scopus 로고    scopus 로고
    • Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
    • Verstraete F, Murg V and Cirac J I 2008 Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems Adv. Phys. 57 143
    • (2008) Adv. Phys. , vol.57 , pp. 143
    • Verstraete, F.1    Murg, V.2    Cirac, J.I.3
  • 7
    • 33846383393 scopus 로고    scopus 로고
    • Is the efficiency of classical simulations of quantum dynamics related to integrability?
    • Prosen T and Žnidarič M 2007 Is the efficiency of classical simulations of quantum dynamics related to integrability? Phys. Rev. E 75 015202
    • (2007) Phys. Rev. E , vol.75 , pp. 015202
    • Prosen, T.1    Žnidarič, M.2
  • 8
    • 34548716398 scopus 로고    scopus 로고
    • Operator space entanglement entropy in transverse Ising chain
    • Prosen T and Pižorn I 2007 Operator space entanglement entropy in transverse Ising chain Phys. Rev. A 76 032316
    • (2007) Phys. Rev. A , vol.76 , pp. 032316
    • Prosen, T.1    Pižorn, I.2
  • 9
    • 77949516829 scopus 로고    scopus 로고
    • Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
    • Clark S R, Prior J, Hartmann M J, Jaksch D and Plenio M B 2010 Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain New J. Phys. 12 025005
    • (2010) New J. Phys. , vol.12 , pp. 025005
    • Clark, S.R.1    Prior, J.2    Hartmann, M.J.3    Jaksch, D.4    Plenio, M.B.5
  • 10
    • 36149030302 scopus 로고
    • Exact solution of a 1D asymmetric exclusion model using a matrix formulation
    • Derrida B, Evans M R, Hakim V and Pasquier V 1993 Exact solution of a 1D asymmetric exclusion model using a matrix formulation J. Phys. A: Math. Gen. 26 1493
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 1493
    • Derrida, B.1    Evans, M.R.2    Hakim, V.3    Pasquier, V.4
  • 11
    • 0002214237 scopus 로고    scopus 로고
    • An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
    • Derrida B 1998 An exactly soluble non-equilibrium system: the asymmetric simple exclusion process Phys. Rep. 301 65
    • (1998) Phys. Rep. , vol.301 , pp. 65
    • Derrida, B.1
  • 12
    • 0000518269 scopus 로고    scopus 로고
    • Stochastic non-equilibrium systems
    • Stinchcombe R 2001 Stochastic non-equilibrium systems Adv. Phys. 50 431
    • (2001) Adv. Phys. , vol.50 , pp. 431
    • Stinchcombe, R.1
  • 13
    • 34547667146 scopus 로고    scopus 로고
    • Non-equilibrium steady states: Fluctuations and large deviations of the density and of the current
    • Derrida B 2007 Non-equilibrium steady states: fluctuations and large deviations of the density and of the current J. Stat. Mech. P07023
    • (2007) J. Stat. Mech.
    • Derrida, B.1
  • 14
    • 35648990568 scopus 로고    scopus 로고
    • Nonequilibrium steady states of matrix-product form: A solver's guide
    • Blythe R A and Evans M R 2007 Nonequilibrium steady states of matrix-product form: a solver's guide J. Phys. A: Math. Theor. 40 R333
    • (2007) J. Phys. A: Math. Theor , vol.40
    • Blythe, R.A.1    Evans, M.R.2
  • 15
    • 46349095583 scopus 로고    scopus 로고
    • Third quantization: A general method to solve master equations for quadratic open Fermi systems
    • Prosen T 2008 Third quantization: a general method to solve master equations for quadratic open Fermi systems New J. Phys. 10 043026
    • (2008) New J. Phys. , vol.10 , pp. 043026
    • Prosen, T.1
  • 16
    • 77952394070 scopus 로고    scopus 로고
    • Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
    • Žnidarič M 2010 Exact solution for a diffusive nonequilibrium steady state of an open quantum chain J. Stat. Mech. L05002
    • (2010) J. Stat. Mech.
    • Žnidarič, M.1
  • 17
    • 66049134132 scopus 로고    scopus 로고
    • Quantum nonequilibrium steady states induced by repeated interactions
    • Karevski D and Platini T 2009 Quantum nonequilibrium steady states induced by repeated interactions Phys. Rev. Lett. 102 207207
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 207207
    • Karevski, D.1    Platini, T.2
  • 18
    • 37649029133 scopus 로고    scopus 로고
    • Nonequilibrium properties in the transverse XX chain
    • Ogata Y 2002 Nonequilibrium properties in the transverse XX chain Phys. Rev. E 66 016135
    • (2002) Phys. Rev. E , vol.66 , pp. 016135
    • Ogata, Y.1
  • 19
    • 0037829570 scopus 로고    scopus 로고
    • Non-equilibrium steady states of the XY chain
    • Aschbacher W H and Pillet C-A 2003 Non-equilibrium steady states of the XY chain J. Stat. Phys. 112 1153
    • (2003) J. Stat. Phys. , vol.112 , pp. 1153
    • Aschbacher, W.H.1    Pillet, C.-A.2
  • 21
    • 3543009193 scopus 로고
    • On the generators of quantum dynamical semigroups
    • Lindblad G 1976 On the generators of quantum dynamical semigroups Commun. Math. Phys. 48 119
    • (1976) Commun. Math. Phys. , vol.48 , pp. 119
    • Lindblad, G.1
  • 22
    • 36749106315 scopus 로고
    • Completely positive dynamical semigroups of N-level systems
    • Gorini V, Kossakowski A and Sudarshan E C G 1976 Completely positive dynamical semigroups of N-level systems J. Math. Phys. 17 821
    • (1976) J. Math. Phys. , vol.17 , pp. 821
    • Gorini, V.1    Kossakowski, A.2    Sudarshan, E.C.G.3
  • 24
    • 0242381914 scopus 로고    scopus 로고
    • On matrix product ground states for reaction-diffusion models
    • Hinrichsen H, Sandow S and Peschel I 1996 On matrix product ground states for reaction-diffusion models J. Phys. A: Math. Gen. 29 2643
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 2643
    • Hinrichsen, H.1    Sandow, S.2    Peschel, I.3
  • 26
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes E T 1957 Information theory and statistical mechanics Phys. Rev. 106 620
    • (1957) Phys. Rev. , vol.106 , pp. 620
    • Jaynes, E.T.1
  • 27
    • 0030574394 scopus 로고    scopus 로고
    • The structure of conserved charges in open spin chains
    • Grabowski M P and Mathieu P 1996 The structure of conserved charges in open spin chains J. Phys. A: Math. Gen. 29 7635
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 7635
    • Grabowski, M.P.1    Mathieu, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.