Coherent control of open quantum dynamical systems

A systematic analysis of the behavior of the quantum Markovian master equation driven by coherent control fields is proposed. Its irreversible character is formalized using control-theoretic notions and the sets of states that can be reached via coherent controls are described. The analysis suggests to what extent (and how) it is possible to counteract the effect of dissipation.

[1]  Milburn,et al.  Quantum theory of optical feedback via homodyne detection. , 1993, Physical review letters.

[2]  D. Levy,et al.  Energy Transfer in Bichromophoric Molecules: The Effect of Symmetry and Donor/Acceptor Energy Gap , 1999 .

[3]  Lorenza Viola,et al.  Engineering quantum dynamics , 2001 .

[4]  Bernard Bonnard,et al.  Contrôlabilité des Systèmes Bilinéaires , 1981, Mathematical systems theory.

[5]  David J. Tannor,et al.  On the interplay of control fields and spontaneous emission in laser cooling , 1999 .

[6]  C. Altafini,et al.  QUANTUM MECHANICS (GENERAL AND NONRELATIVISTIC) 2357 Controllability properties for finite dimensional quantum Markovian master equations , 2002, quant-ph/0211194.

[7]  G. Lindblad.  On the generators of quantum dynamical semigroups , 1976 .

[8]  Velimir Jurdjevic,et al.  Controllability properties of affine systems , 1984, The 23rd IEEE Conference on Decision and Control.

[9]  William M. Boothby,et al.  Determination of the Transitivity of Bilinear Systems , 1979 .

[10]  Debbie W. Leung,et al.  Universal simulation of Markovian quantum dynamics , 2001 .

[11]  William M. Boothby,et al.  A transitivity problem from control theory , 1975 .

[12]  E. Sudarshan,et al.  Completely Positive Dynamical Semigroups of N Level Systems , 1976 .

[13]  U. Fano.  Description of States in Quantum Mechanics by Density Matrix and Operator Techniques , 1957 .

[14]  Timo O. Reiss,et al.  Optimal control of spin dynamics in the presence of relaxation. , 2002, Journal of magnetic resonance.