Communication: Conditions for one-photon coherent phase control in isolated and open quantum systems

Journal of Chemical Physics

Volumn 133, Issue 15, 2010, Pages

  Spanner, Michael ^a   Arango, Carlos A ^a,b   Brumer, Paul ^a  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSIDAD ICESI   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

CLASS A; CLASS B; COHERENT CONTROL; OPEN QUANTUM SYSTEMS; PHASE PROPERTIES; PHOTON TRANSITION;

OPEN SYSTEMS; PHASE CONTROL; QUANTUM ELECTRONICS; QUANTUM OPTICS;

PHOTONS;

EID: 78049281480     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3491366     Document Type: Article

References (13)

1. M. Shapiro and P. Brumer, Principles of the Quantum Control of Atomic and Molecular Processes (Wiley, New York, 2003); S. A. Rice and M. Zhao, Optical Control of Molecular Dynamics (Wiley, New York, 2000).
2. P. Brumer and M. Shapiro, Chem. Phys. CMPHC2 0301-0104 139, 221 (1989). 10.1016/0301-0104(89)90013-X
3. V. I. Prokhorenko, A. M. Nagy, S. A. Waschuk, L. S. Brown, R. R. Birge, and R. J. D. Miller, Science SCIEAS 0036-8075 313, 1257 (2006) 10.1126/science.1130747; M. Joffre, Science SCIEAS 0036-8075 317, 453 (2007) 10.1126/science.1137011; V. I. Prokhorenko, A. M. Nagy, S. A. Waschuk, L. S. Brown, R. R. Birge, and R. J. D. Miller, Science SCIEAS 0036-8075 317, 253 (2007). 10.1126/science.1137032
4. s (ω) without changing A (ω). They proposed to do so by varying the chirp parameter in the laser field (t) [their Eq. (8)]. However, computing A (ω) from their (t) shows that it depends upon 2. Hence, dynamical effects in their Fig. 4 that result from changing the sign of are indeed evidence for phase control. However, dynamical effects resulting from varying are a result of changes to both the relative phases and to A (ω), and are hence not evidence of phase control. Alternate computations showing phase control have been obtained as well (R. Kosloff, private communication).
5. Additional terms with a similar relationship between time dependence and laser phase appear in the case where excitation is not between different electronic surfaces.
6. J. R. Taylor, Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Wiley, New York, 1972).
7. J. Gong and P. Brumer, Phys. Rev. A PLRAAN 1050-2947 68, 022101 (2003). 10.1103/PhysRevA.68.022101
8. m - O m′] Am, m′ m〉 〈 m′. Barring unusual cases involving degeneracies of O exactly canceling the off-diagonal components of H se (such as cases where the system dependence of H se is solely a function of O), this shows that in general [O, H se] 0.
9. V. I. Prokhorenko (private communication).
10. M. Spanner, C. Arango, and P. Brumer (unpublished).
11. A. G. Redfield, IBM J. Res. Dev. IBMJAE 0018-8646 1, 19 (1957) 10.1147/rd.11.0019; A. G. Redfield, Adv. Magn. Reson. ADMGAX 0065-2873 1, 1 (1965); K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1981).
12. S. C. Flores and V. S. Batista, J. Phys. Chem. B JPCBFK 1089-5647 108, 6745 (2004). 10.1021/jp0370526
13. Interestingly, in model systems studied with a Redfield approach we found that we could generally construct different wavepackets "by hand" on an excited potential energy surface that displayed the desired phase dependent control behavior. However, these wavepackets could not be obtained via one-photon excitation from the ground state.