메뉴 건너뛰기




Volumn 47, Issue 6, 2006, Pages

Time minimal trajectories for a spin 1/2 particle in a magnetic field

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33745683248     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2203236     Document Type: Article
Times cited : (206)

References (32)
  • 1
    • 0032397855 scopus 로고    scopus 로고
    • Coherent population transfer among quantum states of atoms and molecules
    • K. Bergmann, H. Theuer, and B. W. Shore, "Coherent population transfer among quantum states of atoms and molecules," Rev. Mod. Phys. 70, 1003-1025 (1998).
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 1003-1025
    • Bergmann, K.1    Theuer, H.2    Shore, B.W.3
  • 3
    • 21144457489 scopus 로고    scopus 로고
    • Control of quantum dynamics by laser pulses: Adiabatic Floquet theory
    • S. Guérin and H. Jauslin, "Control of quantum dynamics by laser pulses: Adiabatic Floquet theory," Adv. Chem. Phys. 125, 147-267 (2003).
    • (2003) Adv. Chem. Phys. , vol.125 , pp. 147-267
    • Guérin, S.1    Jauslin, H.2
  • 5
    • 0035981790 scopus 로고    scopus 로고
    • Optimal control in laser-induced population transfer for two- And three-level quantum systems
    • U. Boscain, G. Charlot, J.-P. Gauthier, S. Guérin, and H.-R. Jauslin, "Optimal control in laser-induced population transfer for two- and three-level quantum systems," J. Math. Phys. 43, 2107-2132 (2002).
    • (2002) J. Math. Phys. , vol.43 , pp. 2107-2132
    • Boscain, U.1    Charlot, G.2    Gauthier, J.-P.3    Guérin, S.4    Jauslin, H.-R.5
  • 6
    • 35949011561 scopus 로고
    • Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications
    • M. A. Dahleh, A. P. Peirce, and H. Rabitz, "Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications," Phys. Rev. A 37, 4950-4964 (1988).
    • (1988) Phys. Rev. A , vol.37 , pp. 4950-4964
    • Dahleh, M.A.1    Peirce, A.P.2    Rabitz, H.3
  • 7
    • 0035365364 scopus 로고    scopus 로고
    • Optimal control of two-level quantum systems
    • D. D' Alessandro and M. Dahleh, "Optimal control of two-level quantum systems," IEEE Trans. Autom. Control 46, 866-876 (2001).
    • (2001) IEEE Trans. Autom. Control , vol.46 , pp. 866-876
    • D'Alessandro, D.1    Dahleh, M.2
  • 8
    • 0035280053 scopus 로고    scopus 로고
    • Time optimal control in spin systems
    • N. Khaneja, R. Brockett, and S. J. Glaser, "Time optimal control in spin systems," Phys. Rev. A 63, 032308 (2001).
    • (2001) Phys. Rev. A , vol.63 , pp. 032308
    • Khaneja, N.1    Brockett, R.2    Glaser, S.J.3
  • 11
    • 0020134214 scopus 로고
    • Controlabilite deś sytemes bilineaires
    • J. P. Gauthier and G. Bornard, "Controlabilite deś sytemes bilineaires," SIAM J. Control Optim. 20, 377-384 (1982).
    • (1982) SIAM J. Control Optim. , vol.20 , pp. 377-384
    • Gauthier, J.P.1    Bornard, G.2
  • 12
    • 0000952844 scopus 로고
    • Control systems on semisimple Lie groups and their homogeneous spaces
    • V. Jurdjevic and I. K. Kupka, "Control systems on semisimple Lie groups and their homogeneous spaces," Ann. Inst. Fourier 31, 151-179 (1981).
    • (1981) Ann. Inst. Fourier , vol.31 , pp. 151-179
    • Jurdjevic, V.1    Kupka, I.K.2
  • 13
    • 12844278596 scopus 로고    scopus 로고
    • Controllability of invariant systems on Lie groups and homogeneous spaces
    • Y. Sachkov, "Controllability of invariant systems on Lie groups and homogeneous spaces," J. Math. Sci. (N.Y.) 100, 2355-2427 (2000).
    • (2000) J. Math. Sci. (N.Y.) , vol.100 , pp. 2355-2427
    • Sachkov, Y.1
  • 14
  • 17
    • 0042883845 scopus 로고    scopus 로고
    • Notions of controllability for bilinear multilevel quantum systems
    • F. Albertini and D. D' Alessandro, "Notions of controllability for bilinear multilevel quantum systems," IEEE Trans. Autom. Control 48, 1399-1403 (2003).
    • (2003) IEEE Trans. Autom. Control , vol.48 , pp. 1399-1403
    • Albertini, F.1    D'Alessandro, D.2
  • 18
    • 0035981789 scopus 로고    scopus 로고
    • Controllability of quantum mechanical systems by root space decomposition of su(N)
    • C. Altafini, "Controllability of quantum mechanical systems by root space decomposition of su(N)," J. Math. Phys. 43, 2051-2062 (2002).
    • (2002) J. Math. Phys. , vol.43 , pp. 2051-2062
    • Altafini, C.1
  • 19
    • 33745808312 scopus 로고    scopus 로고
    • An estimation of the controllability time for single-input systems on compact groups
    • to appear on
    • A. A. Agrachev and T. Chambrion, "An estimation of the controllability time for single-input systems on compact groups," to appear on ESAIM COCV, 2006.
    • (2006) ESAIM COCV
    • Agrachev, A.A.1    Chambrion, T.2
  • 20
    • 0036803005 scopus 로고    scopus 로고
    • On the K+P problem for a three-level quantum system: Optimality implies resonance
    • U. Boscain, T. Chambrion, and J.-P. Gauthier, "On the K+P problem for a three-level quantum system: Optimality implies resonance," J. Dyn. Control Syst. 8, 547-572 (2002).
    • (2002) J. Dyn. Control Syst. , vol.8 , pp. 547-572
    • Boscain, U.1    Chambrion, T.2    Gauthier, J.-P.3
  • 21
    • 12844252459 scopus 로고    scopus 로고
    • Resonance of minimizers for n-level quantum systems with an arbitrary cost
    • U. Boscain and G. Charlot, "Resonance of minimizers for n-level quantum systems with an arbitrary cost," ESAIM COCV, 2004, pp. 593-614.
    • (2004) ESAIM COCV , pp. 593-614
    • Boscain, U.1    Charlot, G.2
  • 22
    • 28444451158 scopus 로고    scopus 로고
    • Nonisotropic 3-level quantum systems: Complete solutions for minimum time and minimal energy
    • U. Boscain, T. Chambrion, and G. Charlot, "Nonisotropic 3-level quantum systems: Complete solutions for minimum time and minimal energy," Discrete Contin. Dyn. Syst. 5, 957-990 (2005).
    • (2005) Discrete Contin. Dyn. Syst. , vol.5 , pp. 957-990
    • Boscain, U.1    Chambrion, T.2    Charlot, G.3
  • 24
    • 0035323824 scopus 로고    scopus 로고
    • Extremal syntheses for generic planar systems
    • U. Boscain and B. Piccoli, "Extremal syntheses for generic planar systems," J. Dyn. Control Syst. 7, 209-258 (2001).
    • (2001) J. Dyn. Control Syst. , vol.7 , pp. 209-258
    • Boscain, U.1    Piccoli, B.2
  • 25
    • 0031673673 scopus 로고    scopus 로고
    • A generic classification of time optimal planar stabilizing feedbacks
    • A. Bressan and B. Piccoli, "A generic classification of time optimal planar stabilizing feedbacks," SIAM J. Control Optim. 36, 12-32 (1998).
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 12-32
    • Bressan, A.1    Piccoli, B.2
  • 26
    • 0030289481 scopus 로고    scopus 로고
    • Classifications of generic singularities for the planar time-optimal synthesis
    • B. Piccoli, "Classifications of generic singularities for the planar time-optimal synthesis," SIAM J. Control Optim. 34, 1914-1946 (1996).
    • (1996) SIAM J. Control Optim. , vol.34 , pp. 1914-1946
    • Piccoli, B.1
  • 27
    • 0023422486 scopus 로고
    • Regular synthesis for time optimal control of single-input real-analytic systems in the plane
    • H. J. Sussmann, "Regular synthesis for time optimal control of single-input real-analytic systems in the plane," SIAM J. Control Optim. 25, 1145-1162 (1987).
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 1145-1162
    • Sussmann, H.J.1
  • 28
    • 0034453280 scopus 로고    scopus 로고
    • Regular synthesis and sufficiency conditions for optimality
    • B. Piccoli and H. J. Sussmann, "Regular synthesis and sufficiency conditions for optimality," SIAM J. Control Optim. 39, 359-410 (2000).
    • (2000) SIAM J. Control Optim. , vol.39 , pp. 359-410
    • Piccoli, B.1    Sussmann, H.J.2
  • 29
    • 33244488299 scopus 로고    scopus 로고
    • Time optimal synthesis for left-invariant control systems on SO(3)
    • U. Boscain and Y. Chitour, "Time optimal synthesis for left-invariant control systems on SO(3)," SIAM J. Control Optim. 44, 111-139 (2005).
    • (2005) SIAM J. Control Optim. , vol.44 , pp. 111-139
    • Boscain, U.1    Chitour, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.