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Volumn 14, Issue , 2012, Pages

A note on symmetry reductions of the Lindblad equation: Transport in constrained open spin chains

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE SYMMETRY; HEISENBERG; HILBERT SPACE FORMALISM; JUMP OPERATORS; LINDBLAD; LINDBLAD EQUATIONS; MULTIPLE STEADY STATE; NON-EQUILIBRIUM STEADY STATE; QUANTUM TRANSPORT PROPERTIES; SPIN 1/2; SPIN CHAINS; SPIN TRANSPORT; SYMMETRY REDUCTION; THERMODYNAMIC LIMITS; TOTAL MAGNETIZATION;

EID: 84864339779     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/14/7/073007     Document Type: Article
Times cited : (385)

References (45)
  • 6
    • 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
  • 8
    • 0037271187 scopus 로고    scopus 로고
    • Strong evidence of normal heat conduction in a one-dimensional quantum system
    • Saito K 2003 Strong evidence of normal heat conduction in a one-dimensional quantum system Europhys. Lett. 61 34
    • (2003) Europhys. Lett. , vol.61 , pp. 34
    • Saito, K.1
  • 9
    • 1642382208 scopus 로고    scopus 로고
    • Fourier's law confirmed for a class of small quantum systems
    • Michel M, Hartmann M, Gemmer J and Mahler G 2003 Fourier's law confirmed for a class of small quantum systems Eur. Phys. J. B 34 325
    • (2003) Eur. Phys. J. B , vol.34 , pp. 325
    • Michel, M.1    Hartmann, M.2    Gemmer, J.3    Mahler, G.4
  • 10
    • 28244441930 scopus 로고    scopus 로고
    • Fourier's law in a quantum spin chain and the onset of quantum chaos
    • Mejia-Monasterio C, Prosen T and Casati G 2005 Fourier's law in a quantum spin chain and the onset of quantum chaos Europhys. Lett. 72 520
    • (2005) Europhys. Lett. , vol.72 , pp. 520
    • Mejia-Monasterio, C.1    Prosen, T.2    Casati, G.3
  • 11
    • 33747197174 scopus 로고    scopus 로고
    • Normal-transport behavior in finite one-dimensional chaotic quantum systems
    • Steinigeweg R, Gemmer J and Michel M 2006 Normal-transport behavior in finite one-dimensional chaotic quantum systems Europhys. Lett. 75 406
    • (2006) Europhys. Lett. , vol.75 , pp. 406
    • Steinigeweg, R.1    Gemmer, J.2    Michel, M.3
  • 13
    • 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 Phys. J. 10 043026
    • (2008) New Phys. J. , vol.10 , pp. 043026
    • Prosen, T.1
  • 14
    • 41449104178 scopus 로고    scopus 로고
    • Transport in open spin chains: A Monte Carlo wavefunction approach
    • Michel M, Hess O, Wichterich H and Gemmer J 2008 Transport in open spin chains: a Monte Carlo wavefunction approach Phys. Rev. B 77 104303
    • (2008) Phys. Rev. B , vol.77 , pp. 104303
    • Michel, M.1    Hess, O.2    Wichterich, H.3    Gemmer, J.4
  • 15
    • 44349123519 scopus 로고    scopus 로고
    • Nonballistic heat conduction in an integrable randomexchange Ising chain studied with quantum master equations
    • Yan Y, Wu C-Q, Casati G, Prosen T and Li B 2008 Nonballistic heat conduction in an integrable randomexchange Ising chain studied with quantum master equations Phys. Rev. B 77 172411
    • (2008) Phys. Rev. B , vol.77 , pp. 172411
    • Yan, Y.1    Wu, C.-Q.2    Casati, G.3    Prosen, T.4    Li, B.5
  • 17
    • 79551614550 scopus 로고    scopus 로고
    • Conservation laws, integrability and transport in one-dimensional quantum systems
    • Sirker J, Pereira R G and Affleck I 2011 Conservation laws, integrability and transport in one-dimensional quantum systems Phys. Rev. B 83 035115
    • (2011) Phys. Rev. B , vol.83 , pp. 035115
    • Sirker, J.1    Pereira, R.G.2    Affleck, I.3
  • 22
    • 38549088122 scopus 로고    scopus 로고
    • The structure of preserved information in quantum processes
    • Blume-Kohout R, Ng H K, Poulin D and Viola L 2008 The structure of preserved information in quantum processes Phys. Rev. Lett. 100 030501
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 030501
    • Blume-Kohout, R.1    Ng, H.K.2    Poulin, D.3    Viola, L.4
  • 23
    • 85028768845 scopus 로고    scopus 로고
    • Quantum memories
    • Simon C et al 2010 Quantum memories Eur. Phys. J. D 58 1
    • (2010) Eur. Phys. J. D , vol.58 , pp. 1
    • Simon, C.1
  • 24
    • 0003320432 scopus 로고
    • Irreducible quantum dynamical semigroups
    • Evans D E 1977 Irreducible quantum dynamical semigroups Commun. Math. Phys. 54 293
    • (1977) Commun. Math. Phys. , vol.54 , pp. 293
    • Evans, D.E.1
  • 25
    • 0001768826 scopus 로고
    • An algebraic condition for the approach to equilibrium of an open N-level system
    • Spohn H 1977 An algebraic condition for the approach to equilibrium of an open N-level system Lett. Math. Phys. 2 33
    • (1977) Lett. Math. Phys. , vol.2 , pp. 33
    • Spohn, H.1
  • 28
    • 65149096199 scopus 로고    scopus 로고
    • Matrix product simulations of non-equilibrium steady states of quantum spin chains
    • Prosen T and Žnidarič M 2009 Matrix product simulations of non-equilibrium steady states of quantum spin chains Stat. J. Mech. P02035
    • (2009) Stat. J. Mech. , pp. 02035
    • Prosen, T.1    Žnidarič, M.2
  • 29
    • 79961102354 scopus 로고    scopus 로고
    • Decay of currents for strong interactions
    • Steinigeweg R 2011 Decay of currents for strong interactions Phys. Rev. E 84 011136
    • (2011) Phys. Rev. e , vol.84 , pp. 011136
    • Steinigeweg, R.1
  • 30
    • 80052727075 scopus 로고    scopus 로고
    • Integrable Mott insulators driven by a finite electric field
    • Mierzejewski M, Bonca J and Prelovsek P 2011 Integrable Mott insulators driven by a finite electric field Phys. Rev. Lett. 107 126601
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 126601
    • Mierzejewski, M.1    Bonca, J.2    Prelovsek, P.3
  • 32
    • 79960229672 scopus 로고    scopus 로고
    • Crossover between ballistic and diffusive transport: The quantum exclusion process
    • Eisler V 2011 Crossover between ballistic and diffusive transport: the quantum exclusion process Stat. J. Mech. 2011 P06007
    • (2011) Stat. J. Mech. , vol.2011 , pp. 06007
    • Eisler, V.1
  • 34
    • 78751529854 scopus 로고    scopus 로고
    • Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
    • Žnidarič M 2011 Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation Phys. Rev. E 83 011108
    • (2011) Phys. Rev. e , vol.83 , pp. 011108
    • Žnidarič, M.1
  • 35
    • 77951967557 scopus 로고    scopus 로고
    • Dephasing-induced diffusive transport in the anisotropic Heisenberg model
    • Žnidarič M 2010 Dephasing-induced diffusive transport in the anisotropic Heisenberg model New J. Phys. 12 043001
    • (2010) New J. Phys. , vol.12 , pp. 043001
    • Žnidarič, M.1
  • 36
    • 67650043359 scopus 로고    scopus 로고
    • Negative differential conductivity in far-from-equilibrium quantum spin chains
    • Benenti G, Casati G, Prosen T and Rossini D 2009 Negative differential conductivity in far-from-equilibrium quantum spin chains Europhys. Lett. 85 37001
    • (2009) Europhys. Lett. , vol.85 , pp. 37001
    • Benenti, G.1    Casati, G.2    Prosen, T.3    Rossini, D.4
  • 37
    • 68949133167 scopus 로고    scopus 로고
    • Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
    • Benenti G, Casati G, Prosen T, Rossini D and Žnidarič M 2009 Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium Phys. Rev. B 80 035110
    • (2009) Phys. Rev. B , vol.80 , pp. 035110
    • Benenti, G.1    Casati, G.2    Prosen, T.3    Rossini, D.4    Žnidarič, M.5
  • 38
    • 77955563905 scopus 로고    scopus 로고
    • Long-range order in nonequilibrium interacting quantum spin chains
    • Prosen T and Žnidarič M 2010 Long-range order in nonequilibrium interacting quantum spin chains Phys. Rev. Lett. 105 060603
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 060603
    • Prosen, T.1    Žnidarič, M.2
  • 39
    • 79960269743 scopus 로고    scopus 로고
    • Open XXZ spin chain: Nonequilibrium steady state and a strict bound on ballistic transport
    • Prosen T 2011 Open XXZ spin chain: nonequilibrium steady state and a strict bound on ballistic transport Phys. Rev. Lett. 106 217206
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 217206
    • Prosen, T.1
  • 40
    • 80053105239 scopus 로고    scopus 로고
    • Exact nonequilibrium steady state of a strongly driven open XXZ chain
    • Prosen T 2011 Exact nonequilibrium steady state of a strongly driven open XXZ chain Phys. Rev. Lett. 107 137201
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 137201
    • Prosen, T.1
  • 41
    • 79960637604 scopus 로고    scopus 로고
    • Spin transport in a one-dimensional anisotropic Heisenberg model
    • Žnidarič M 2011 Spin transport in a one-dimensional anisotropic Heisenberg model Phys. Rev. Lett. 106 220601
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 220601
    • Žnidarič, M.1
  • 42
    • 84855453220 scopus 로고    scopus 로고
    • Transport in a one-dimensional isotropic Heisenberg model at high temperature
    • Žnidarič M 2011 Transport in a one-dimensional isotropic Heisenberg model at high temperature J. Stat. Mech. 2011 P12008
    • (2011) J. Stat. Mech. , vol.2011
    • Žnidarič, M.1
  • 43
    • 33646406558 scopus 로고    scopus 로고
    • High order non-unitary split-step decomposition of unitary operators
    • Prosen T and Pižorn I 2006 High order non-unitary split-step decomposition of unitary operators J. Phys. A: Math. Gen. 39 5957
    • (2006) J. Phys. A: Math. Gen. , vol.39 , pp. 5957
    • Prosen, T.1    Pižorn, I.2
  • 44
    • 37649027577 scopus 로고    scopus 로고
    • Anomalous scaling of conductivity in integrable fermion systems
    • Prelovšek P, Shawish El S, Zotos X and Long M 2004 Anomalous scaling of conductivity in integrable fermion systems Phys. Rev. B 70 205129
    • (2004) Phys. Rev. B , vol.70 , pp. 205129
    • Prelovšek, P.1    Shawish El, S.2    Zotos, X.3    Long, M.4
  • 45
    • 83655202748 scopus 로고    scopus 로고
    • Spin transport in the XXZ chain at finite temperature and momentum
    • Steinigeweg R and Brenig W 2011 Spin transport in the XXZ chain at finite temperature and momentum Phys. Rev. Lett. 107 250602
    • (2011) Phys. Rev. Lett. , vol.107 , pp. 250602
    • Steinigeweg, R.1    Brenig, W.2


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