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Volumn 230, Issue 15, 2011, Pages 5930-5956

High-order commutator-free exponential time-propagation of driven quantum systems

Author keywords

Driven quantum systems; Lie group integrators; Magnus expansion; Time dependent Schr dinger equation

Indexed keywords

ATOMS; ELECTRIC FIELDS; QUANTUM OPTICS;

EID: 79956135264     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.04.006     Document Type: Article
Times cited : (122)

References (25)
  • 1
    • 0001292827 scopus 로고    scopus 로고
    • Driven quantum systems
    • Wiley-VCH, Weinheim, T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, W. Zwerger (Eds.)
    • Hänggi P. Driven quantum systems. Quantum Transport and Dissipation 1997, 249-286. Wiley-VCH, Weinheim. T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, W. Zwerger (Eds.).
    • (1997) Quantum Transport and Dissipation , pp. 249-286
    • Hänggi, P.1
  • 3
    • 84940252991 scopus 로고
    • On the exponential solution of differential equations for a linear operator
    • Magnus W. On the exponential solution of differential equations for a linear operator. Commun. Pure Appl. Math.VII 1954, 649.
    • (1954) Commun. Pure Appl. Math.VII , pp. 649
    • Magnus, W.1
  • 4
    • 58149396539 scopus 로고    scopus 로고
    • The Magnus expansion and some of its applications
    • Blanes S., Casas F., Oteo J.A., Ros J. The Magnus expansion and some of its applications. Phys. Rep. 2009, 470:151.
    • (2009) Phys. Rep. , vol.470 , pp. 151
    • Blanes, S.1    Casas, F.2    Oteo, J.A.3    Ros, J.4
  • 5
    • 0346968523 scopus 로고    scopus 로고
    • On the solution of linear differential equations in Lie groups
    • Iserles A., Norsett S.P. On the solution of linear differential equations in Lie groups. Phil. Trans. Roy. Soc. Lond. A 1999, 357:983.
    • (1999) Phil. Trans. Roy. Soc. Lond. A , vol.357 , pp. 983
    • Iserles, A.1    Norsett, S.P.2
  • 8
    • 33748562855 scopus 로고    scopus 로고
    • Fourth- and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems
    • Blanes S., Moan P.C. Fourth- and sixth-order commutator-free Magnus integrators for linear and non-linear dynamical systems. Appl. Numer. Math. 2006, 56:1519.
    • (2006) Appl. Numer. Math. , vol.56 , pp. 1519
    • Blanes, S.1    Moan, P.C.2
  • 9
    • 34247278698 scopus 로고    scopus 로고
    • A fourth-order commutator-free exponential integrator for nonautonomous differential equations
    • Thalhammer M. A fourth-order commutator-free exponential integrator for nonautonomous differential equations. SIAM J. Numer. Anal. 2006, 44:851.
    • (2006) SIAM J. Numer. Anal. , vol.44 , pp. 851
    • Thalhammer, M.1
  • 14
    • 85190763521 scopus 로고    scopus 로고
    • MPFUN90 (Fortran-90 arbitrary precision package). (last retrieved 29.11.10).
    • D.H. Bailey, MPFUN90 (Fortran-90 arbitrary precision package). (last retrieved 29.11.10). http://crd.lbl.gov/dhbailey/mpdist/.
    • Bailey, D.H.1
  • 19
    • 0032010619 scopus 로고    scopus 로고
    • Expokit: a software package for computing matrix exponentials
    • Sidje R.B. Expokit: a software package for computing matrix exponentials. ACM Trans. Math. Software 1998, 24:130.
    • (1998) ACM Trans. Math. Software , vol.24 , pp. 130
    • Sidje, R.B.1
  • 20
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximations to the matrix exponential operator
    • Hochbruck M., Lubich C. On Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal. 1997, 34:1911.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1911
    • Hochbruck, M.1    Lubich, C.2
  • 21
    • 0242510121 scopus 로고
    • An accurate and efficient scheme for propagating the time dependent Schrödinger equation
    • Tal-Ezer H., Kosloff R. An accurate and efficient scheme for propagating the time dependent Schrödinger equation. J. Chem. Phys. 1984, 81:3967.
    • (1984) J. Chem. Phys. , vol.81 , pp. 3967
    • Tal-Ezer, H.1    Kosloff, R.2
  • 22
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
    • Moler C., Loan C.V. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Rev. 2003, 45:3.
    • (2003) SIAM Rev. , vol.45 , pp. 3
    • Moler, C.1    Loan, C.V.2
  • 24
    • 6244277895 scopus 로고
    • The solution of the time dependent Schrödinger equation by the (t,t′) method
    • Peskin U., Kosloff R., Moiseyev N. The solution of the time dependent Schrödinger equation by the (t,t′) method. J. Chem. Phys. 1994, 100:8849.
    • (1994) J. Chem. Phys. , vol.100 , pp. 8849
    • Peskin, U.1    Kosloff, R.2    Moiseyev, N.3
  • 25
    • 36149018631 scopus 로고
    • Double Stern-Gerlach experiment and related collision phenomena
    • Rosen N., Zener C. Double Stern-Gerlach experiment and related collision phenomena. Phys. Rev. 1932, 40:502.
    • (1932) Phys. Rev. , vol.40 , pp. 502
    • Rosen, N.1    Zener, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.