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Volumn 2010, Issue 7, 2010, Pages

Spectral theorem for the Lindblad equation for quadratic open fermionic systems

Author keywords

Correlation functions; Dissipative systems (theory); Stationary states

Indexed keywords


EID: 77957595683     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/07/P07020     Document Type: Article
Times cited : (172)

References (21)
  • 1
    • 3543009193 scopus 로고
    • On the Generators of quantum dynamical semiGroups
    • Lindblad G, On the Generators of quantum dynamical semiGroups, 1976 Commun. Math. Phys. 48 119
    • (1976) Commun. Math. Phys. , vol.48 , pp. 119
    • Lindblad, G.1
  • 2
    • 36749106315 scopus 로고
    • Completely positive dynamical semiGroups of N-level systems
    • Gorini V, Kossakowski A and Sudarshan E C G, Completely positive dynamical semiGroups of N-level systems, 1976 J. Math. Phys. 17 821
    • (1976) J. Math. Phys. , vol.17 , pp. 821
    • Gorini, V.1    Kossakowski, A.2    Sudarshan, E.C.G.3
  • 4
    • 41549134032 scopus 로고    scopus 로고
    • Fermionic quasifree states and maps in information theory
    • Dierckx B, Fannes M and PoGorzelska M, Fermionic quasifree states and maps in information theory, 2008 J. Math. Phys. 49 032109
    • (2008) J. Math. Phys. , vol.49 , pp. 032109
    • Dierckx, B.1    Fannes M, .2    PoGorzelska, M.3
  • 5
    • 36749108964 scopus 로고
    • A class of dissipative evolutions with applications in thermodynamics of fermion systems
    • Fannes M and Rocca F, A class of dissipative evolutions with applications in thermodynamics of fermion systems, 1980 J. Math. Phys. 21 221
    • (1980) J. Math. Phys. , vol.21 , pp. 221
    • Fannes M, .1    Rocca, F.2
  • 6
    • 46349095583 scopus 로고    scopus 로고
    • Third quantization: A General method to solve master equations for quadratic open Fermi systems
    • Prosen T, Third quantization: A General method to solve master equations for quadratic open Fermi systems, 2008 New J. Phys. 10 043026
    • (2008) New J. Phys. , vol.10 , pp. 043026
    • Prosen, T.1
  • 7
    • 51149089304 scopus 로고    scopus 로고
    • Quantum phase transition in a far from equilibrium steady state of XY spin chain
    • Prosen T and Pižorn I, Quantum phase transition in a far from equilibrium steady state of XY spin chain, 2008 Phys. Rev. Lett. 101 105701
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 105701
    • Prosen, T.1    Pižorn, I.2
  • 8
    • 0001914667 scopus 로고
    • Quantum dynamical semiGroups and approach to equilibrium
    • FriGerio A, Quantum dynamical semiGroups and approach to equilibrium, 1977 Lett. Math. Phys. 2 79
    • (1977) Lett. Math. Phys. , vol.2 , pp. 79
    • FriGerio, A.1
  • 9
    • 0001768826 scopus 로고
    • An alGebraic condition for the approach to equilibrium of an open N-level system
    • Spohn H, An alGebraic condition for the approach to equilibrium of an open N-level system, 1977 Lett. Math. Phys. 2 33
    • (1977) Lett. Math. Phys. , vol.2 , pp. 33
    • Spohn, H.1
  • 10
    • 0000352762 scopus 로고
    • Stationary states of quantum dynamical semiGroups
    • FriGerio A, Stationary states of quantum dynamical semiGroups, 1978 Commun. Math. Phys. 63 269
    • (1978) Commun. Math. Phys. , vol.63 , pp. 269
    • FriGerio, A.1
  • 11
    • 3042675271 scopus 로고    scopus 로고
    • Decoherence by Lindblad motion
    • Dietz K, Decoherence by Lindblad motion, 2004 J. Phys. A: Math. Gen. 37 6143
    • (2004) J. Phys. A: Math. Gen. , vol.37 , pp. 6143
    • Dietz, K.1
  • 12
    • 33748924192 scopus 로고    scopus 로고
    • Notes on the qualitative behaviour of quantum Markov semiGroups
    • FaGnola F and Rebolledo R, Notes on the qualitative behaviour of quantum Markov semiGroups, 2006 Lect. Notes Math. 1882 161
    • (2006) Lect. Notes Math. , vol.1882 , pp. 161
    • FaGnola F, .1    Rebolledo, R.2
  • 14
    • 54749118990 scopus 로고    scopus 로고
    • Analysis of quantum semiGroups with GKS-Lindblad Generators: I. Simple Generators
    • BaumGartner B, Narnhofer H and ThirrinG W, Analysis of quantum semiGroups with GKS-Lindblad Generators: I. Simple Generators, 2008 J. Phys. A: Math. Theor. 41 065201
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 065201
    • BaumGartner, B.1    Narnhofer H, .2    ThirrinG, W.3
  • 15
    • 54749118990 scopus 로고    scopus 로고
    • Analysis of quantum semiGroups with GKS-Lindblad Generators: II. General
    • BaumGartner B and Narnhofer H, Analysis of quantum semiGroups with GKS-Lindblad Generators: II. General , 2008 J. Phys. A: Math. Theor. 41 395303
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 395303
    • BaumGartner B, .1    Narnhofer, H.2
  • 16
    • 84976855597 scopus 로고
    • Solution of the matrix equation AX + XB = C
    • Bartels R H and Stewart G W, Solution of the matrix equation AX + XB = C, 1972 Comm. ACM 15 820
    • (1972) Comm. ACM , vol.15 , pp. 820
    • Bartels, R.H.1    Stewart, G.W.2
  • 18
    • 77957551956 scopus 로고    scopus 로고
    • http://en.wikipedia.orG/wiki/Lyapunovequation
  • 19
    • 77957561412 scopus 로고    scopus 로고
    • http://en.wikipedia.orG/wiki/Sylvesterequation
  • 20
    • 0000210471 scopus 로고
    • A Mathematica version of ZeilberGer's alGorithm for provinG binomial coefficient identities
    • Paule P and Schorn M, A Mathematica version of ZeilberGer's alGorithm for provinG binomial coefficient identities, 1995 J. Symb. Comput. 20 673
    • (1995) J. Symb. Comput. , vol.20 , pp. 673
    • Paule P, .1    Schorn, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.