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Volumn 25, Issue 5, 2013, Pages

From the microscopic to the van Hove regime in the XY chain out of equilibrium

Author keywords

entropy production; Hilbert space scattering theory; nonequilibrium quantum statistical mechanics; nonequilibrium steady state; Open systems; quasifree fermions; van Hove weak coupling regime

Indexed keywords


EID: 84878220580     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X13300082     Document Type: Review
Times cited : (1)

References (23)
  • 2
    • 0040074211 scopus 로고
    • On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation
    • H. Araki, On the diagonalization of a bilinear Hamiltonian by a Bogoliubov transformation, Publ. RIMS Kyoto Univ. 6 (1968) 385-442.
    • (1968) Publ. RIMS Kyoto Univ. , vol.6 , pp. 385-442
    • Araki, H.1
  • 3
    • 85011142022 scopus 로고
    • On quasifree states of CAR and Bogoliubov automorphisms
    • H. Araki, On quasifree states of CAR and Bogoliubov automorphisms, Publ. RIMS Kyoto Univ. 6 (1971) 385-442.
    • (1971) Publ. RIMS Kyoto Univ. , vol.6 , pp. 385-442
    • Araki, H.1
  • 4
    • 85008035952 scopus 로고
    • On the XY-model on two-sided infinite chain
    • H. Araki, On the XY-model on two-sided infinite chain, Publ. RIMS Kyoto Univ. 20 (1984) 277-296.
    • (1984) Publ. RIMS Kyoto Univ. , vol.20 , pp. 277-296
    • Araki, H.1
  • 5
    • 0012312525 scopus 로고    scopus 로고
    • Asymptotic time evolution of a partitioned infinite two-sided isotropic XY-chain
    • H. Araki and T. G. Ho, Asymptotic time evolution of a partitioned infinite two-sided isotropic XY-chain, Proc. Steklov Inst. Math. 228 (2000) 191-204.
    • (2000) Proc. Steklov Inst. Math. , vol.228 , pp. 191-204
    • Araki, H.1    Ho, T.G.2
  • 6
    • 0037829570 scopus 로고    scopus 로고
    • Non-equilibrium steady states of the XY chain
    • W. H. Aschbacher and C. A. Pillet, Non-equilibrium steady states of the XY chain, J. Stat. Phys. 112 (2003) 1153-1175.
    • (2003) J. Stat. Phys. , vol.112 , pp. 1153-1175
    • Aschbacher, W.H.1    Pillet, C.A.2
  • 7
    • 33748936910 scopus 로고    scopus 로고
    • Topics in non-equilibrium quantum statistical mechanics
    • DOI 10.1007/3-540-33967-1-1, Open Quantum Systems III: Recent Developments
    • W. H. Aschbacher, V. Jakšíc, Y. Pautrat and C. A. Pillet, Topics in non-equilibrium quantum statistical mechanics, in Open Quantum Sytems, III, Lecture Notes in Mathematics, Vol. 1882 (Springer, New York, 2006), pp. 1-66. (Pubitemid 44431815)
    • (2006) Lecture Notes in Mathematics , vol.1882 , pp. 1-66
    • Aschbacher, W.1    Jaksic, V.2    Pautrat, Y.3    Pillet, C.-A.4
  • 9
    • 32344432997 scopus 로고    scopus 로고
    • A remark on the strict positivity of the entropy production
    • DOI 10.1007/s11005-005-0035-5
    • W. H. Aschbacher and H. Spohn, A remark on the strict positivity of the entropy production, Lett. Math. Phys. 75 (2006) 17-23. (Pubitemid 43221211)
    • (2006) Letters in Mathematical Physics , vol.75 , Issue.1 , pp. 17-23
    • Aschbacher, W.H.1    Spohn, H.2
  • 11
    • 34249830699 scopus 로고
    • Multiple phases and return to equilibrium
    • A. L. Carey and L. R. Hume, Multiple phases and return to equilibrium, J. Stat. Phys. 68 (1992) 787-828.
    • (1992) J. Stat. Phys. , vol.68 , pp. 787-828
    • Carey, A.L.1    Hume, L.R.2
  • 12
    • 0142201045 scopus 로고
    • Spin-spin interaction constants from the hyperfine structure of coupled ions
    • J. W. Culvahouse, D. P. Schinke and L. G. Pfortmiller, Spin-spin interaction constants from the hyperfine structure of coupled ions, Phys. Rev. 177 (1969) 454-464.
    • (1969) Phys. Rev. , vol.177 , pp. 454-464
    • Culvahouse, J.W.1    Schinke, D.P.2    Pfortmiller, L.G.3
  • 13
    • 0002335432 scopus 로고
    • Markovian master equations
    • E. B. Davies, Markovian master equations, Comm. Math. Phys. 39 (1974) 91-110.
    • (1974) Comm. Math. Phys. , vol.39 , pp. 91-110
    • Davies, E.B.1
  • 14
    • 0005184869 scopus 로고
    • Markovian master equations, II
    • E. B. Davies, Markovian master equations, II, Math. Ann. 219 (1976) 147-158.
    • (1976) Math. Ann. , vol.219 , pp. 147-158
    • Davies, E.B.1
  • 15
    • 0002316529 scopus 로고
    • Longitudinal and transverse spin dynamics of a one-dimensional XY system studied by chlorine nuclear relaxation in PrCl#inf#3#/inf#
    • M. D'Iorio, R. L. Armstrong and D. R. Taylor, Longitudinal and transverse spin dynamics of a one-dimensional XY system studied by chlorine nuclear relaxation in PrCl#inf#3#/inf#, Phys. Rev. B 27 (1983) 1664-1673.
    • (1983) Phys. Rev. B , vol.27 , pp. 1664-1673
    • D'Iorio, M.1    Armstrong, R.L.2    Taylor, D.R.3
  • 16
    • 0347334809 scopus 로고
    • Return to equilibrium in the XY model
    • L. Hume and D. W. Robinson, Return to equilibrium in the XY model, J. Stat. Phys. 44 (1986) 829-848.
    • (1986) J. Stat. Phys. , vol.44 , pp. 829-848
    • Hume, L.1    Robinson, D.W.2
  • 17
    • 33749122467 scopus 로고    scopus 로고
    • Mathematical theory of the Wigner-Weisskopf atom
    • DOI 10.1007/3-540-32579-4-4, Large Coulomb Systems: Lecture Notes on Mathematical Aspects of QED
    • V. Jakšíc, E. Kritchevski and C. A. Pillet, Mathematical theory of the Wigner-Weisskopf atom, in Large Coulomb Systems, Lecture Notes in Physics, Vol. 695 (Springer, 2006), pp. 145-215. (Pubitemid 44468581)
    • (2006) Lecture Notes in Physics , vol.695 , pp. 145-215
    • Jaksic, V.1    Kritchevski, E.2    Pillet, C.-A.3
  • 18
    • 33750030537 scopus 로고    scopus 로고
    • The Green-Kubo formula for the spin-fermion system
    • DOI 10.1007/s00220-006-0095-0
    • V. Jakšíc, Y. Ogata and C. A. Pillet, The Green-Kubo formula for the spin-fermion system, Comm. Math. Phys. 268 (2006) 369-401. (Pubitemid 44570075)
    • (2006) Communications in Mathematical Physics , vol.268 , Issue.2 , pp. 369-401
    • Jaksic, V.1    Ogata, Y.2    Pillet, C.-A.3
  • 19
    • 0008417829 scopus 로고
    • Two soluble models of an antiferromagnetic chain
    • E. Lieb, T. Schultz and D. Mattis, Two soluble models of an antiferromagnetic chain, Ann. Phys. 16 (1961) 407-466.
    • (1961) Ann. Phys. , vol.16 , pp. 407-466
    • Lieb, E.1    Schultz, T.2    Mattis, D.3
  • 20
    • 0034341528 scopus 로고    scopus 로고
    • Natural nonequilibrium states in quantum statistical mechanics
    • D. Ruelle, Natural nonequilibrium states in quantum statistical mechanics, J. Stat. Phys. 98 (2000) 57-75.
    • (2000) J. Stat. Phys. , vol.98 , pp. 57-75
    • Ruelle, D.1
  • 21
    • 0035425059 scopus 로고    scopus 로고
    • Heat transport by lattice and spin excitations in the spin-chain compounds SrCuO#inf#2#/inf# and Sr#inf#2#/inf#CuO#inf#3#/inf#
    • A. V. Sologubenko, K. Gianǹo, H. R. Ott, A. Vietkine and A. Revcolevschi, Heat transport by lattice and spin excitations in the spin-chain compounds SrCuO#inf#2#/inf# and Sr#inf#2#/inf#CuO#inf#3#/inf#, Phys. Rev. B 64 (2001) 054412-1-11.
    • (2001) Phys. Rev. B , vol.64 , pp. 0544121-05441211
    • Sologubenko, A.V.1    Gianǹo, K.2    Ott, H.R.3    Vietkine, A.4    Revcolevschi, A.5
  • 22
    • 0000963638 scopus 로고
    • Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs
    • H. Spohn and J. Lebowitz, Irreversible thermodynamics for quantum systems weakly coupled to thermal reservoirs, Adv. Chem. Phys. 38 (1978) 109-142.
    • (1978) Adv. Chem. Phys. , vol.38 , pp. 109-142
    • Spohn, H.1    Lebowitz, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.