Identification and reduction of effective dimensions of quantum systems

Qiang XU; Feng SHUANG

doi:10.3969/j.issn.1007-5461. 2012.03.010

[1] Chu S. Cold atoms and quantum control ［J］. Nature, 2002, 416(6877): 206-210.

[2] Peirce A P, Dahleh M A, Rabitz H. Optimal-control of quantum-mechanical systems-existence, numerical approximation, and applications ［J］. Phys. Rev. A, 1988, 37(12): 4950-4964.

[3] Assion A, Baumert T, Bergt M, et al. Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses ［J］. Science, 1998, 282: 919.

[6] Gaubatz U, Rudecki P, Schiemann S, et al. Population transfer between molecular vibrational levels by stimulated Raman scattering with partially overlapping laser fields: A new concept and experimental results ［J］. J. Chem. Phys., 1900, 92: 5363.

[7] Kobrak M N, Rice S A. Selective photochemistry via adiabatic passage: An extension of stimulated Raman adiabatic passage for degenerate final states ［J］. Phys. Rev. A, 1998, 57(2885): 2885.

[8] Schleich W P. Quantum control: sculpting a wavepacket ［J］. Nature, 1999, 397(6716): 207-208.

[9] Cook R J, Shore B W. Coherent dynamics of n-level atoms and molecules. iii. an analytically soluble periodic case ［J］. Phys. Rev. A, 1979, 20: 539.

[10] Shore B W, Cook R J. Coherent dynamics of n-level atoms and molecules.iv. two- and three-level behavior ［J］. Phys. Rev. A, 1979, 20: 1958.

[11] Eberly J H. Control of loss and decoherence in quantum systems ［J］. Opt. Expr., 1998, 2: 9.

[12] Akramine O E, Makhoute A. The kinetics of the atomic relaxation induced by laser noise ［J］. J. Phys. B, 1998, 31: 4349.

[13] Bergmann K, Theuer H, et al. Coherent population transfer among quantum states of atoms and molecules ［J］. Reviews of Modern Physics, 1998, 70(3): 1003-1025.

[14] Xu R, Yan Y J, Ohtsuki Y, et al. Optimal control of quantum non-Markovian dissipation: Reduced Liouville-space theory ［J］. J. Chem. Phys., 2004, 120: 6600.

[15] Shuang Feng, Rabitz H. Cooperating or fighting with control noise in the optimal manipulation of quantum dynamics ［J］. J. Chem. Phys., 2004, 121(19): 9270-9278.

[16] Shuang Feng, et al. Cooperating or fighting with decoherence in the optimal control of quantum dynamics ［J］. J. Chem. Phys., 2006, 124(15): 154105.

[17] Shuang Feng, Rabitz H, Dykman M. Foundations for cooperating with control noise in the manipulation of quantum dynamics ［J］. Phys. Rev. E, 2007, 75(2): 021103.

[18] Shuang Feng, Zhou Mianlai, et al. Control of quantum dynamics by optimized measurements ［J］. Phys. Rev. A, 2008, 78(6): 063422.

[19] Jean Claude Diels, Wolfgang Rudolph. Ultrashort Laser Pulse Phenomena Fundamentals, Techniques, and Applications on a Femtosecond Time Scale ［M］. San Diego: Academic Press, 1996.

[20] Frasca M. Perturbative results on localization for a driven two-level system ［J］. Phys. Rev. B, 2003, 68(16): 165315.

[21] Rabi I I, Ramsey N F, Schwinger J. Use of rotating coordinates in magnetic resonance problems ［J］. Rev. Mod. Phys., 1954, 26: 167-171.

[22] Shore B W. The Theory of Coherent Atomic Excitation ［M］. Wiley, 1990.

[23] Xu Qiang, Wang Yaoxiong, et al. Identification of dimensions of quantum systems controlled by lasers ［J］. Chinese Journal of Chemical Physics, in progress.