Local control theory (LCT) is employed to achieve molecular photoassociation with shaped laser pulses. Within LCT, the control fields are constructed from the response of the system to the perturbation which makes them accessible to a straightforward interpretation. This is shown regarding the ground-state collision of and atoms. Different objectives are defined, which aim at the formation of vibrational cold or hot associated molecules, respectively. Results are presented for -wave scattering, where the rotational degree of freedom is ignored and also for full scale calculations including rotations, in order to describe more realistic conditions.
REFERENCES
1.
A. M.
Weiner
, Rev. Sci. Instrum.
71
, 1929
(2000
).2.
M.
Wollenhaupt
, A.
Assion
, and T.
Baumert
, in Springer Handbook of Optics
edited by F.
Träger
(Springer
, New York
, 2007
), Chap. 12, pp. 937
–983
.3.
T. C.
Weinacht
and P. H.
Bucksbaum
, J. Opt. B: Quantum Semiclassical Opt.
4
, R35
(2003
).4.
T.
Brixner
and G.
Gerber
, ChemPhysChem
4
, 418
(2003
).5.
M.
Dantus
and V. V.
Lozovoy
, Chem. Rev. (Washington, D.C.)
104
, 1813
(2004
).6.
P.
Nuernberger
, G.
Vogt
, T.
Brixner
, and G.
Gerber
, Phys. Chem. Chem. Phys.
9
, 2470
(2007
).7.
D.
Tannor
and S. A.
Rice
, J. Chem. Phys.
83
, 5013
(1985
).8.
M.
Shapiro
and P.
Brumer
, J. Chem. Phys.
84
, 4103
(1986
).9.
A. P.
Peirce
, M. A.
Dahleh
, and H.
Rabitz
, Phys. Rev. A
37
, 4950
(1988
).10.
U.
Gaubatz
, P.
Rudecki
, S.
Schiemann
, and K.
Bergmann
, J. Chem. Phys.
92
, 5363
(1990
).11.
W.
Jakubetz
, B.
Just
, J.
Manz
, and H.-J.
Schreier
, J. Chem. Phys.
94
, 2294
(1990
).12.
R. S.
Judson
and H.
Rabitz
, Phys. Rev. Lett.
68
, 1500
(1992
).13.
M.
Wollenhaupt
and T.
Baumert
, J. Photochem. Photobiol., A
180
, 248
(2006
).14.
S. A.
Rice
and M.
Zhao
, Optical Control of Molecular Dynamics
(Wiley
, New York
, 2000
).15.
M.
Shapiro
and P.
Brumer
, Principles of Quantum Control of Molecular Processes
(Wiley
, New York
, 2003
).16.
R.
Kosloff
, A. D.
Hammerich
, and D. J.
Tannor
, Phys. Rev. Lett.
69
, 2172
(1992
).17.
Y.
Chen
, P.
Gross
, V.
Ramakrishna
, and H.
Rabitz
, J. Chem. Phys.
102
, 8001
(1995
).18.
Y.
Chen
, P.
Gross
, V.
Ramakrishna
, H.
Rabitz
, K.
Mease
, and H.
Singh
, Automatica
33
, 1617
(1997
).19.
V.
Malinovsky
, C.
Meier
, and D. J.
Tannor
, Chem. Phys.
221
, 67
(1997
).20.
S.
Gräfe
, P.
Marquetand
, N. E.
Henriksen
, K. B.
Møller
, and V.
Engel
, Chem. Phys. Lett.
398
, 180
(2004
).21.
S.
Gräfe
, C.
Meier
, and V.
Engel
, J. Chem. Phys.
122
, 184103
(2005
).22.
23.
C.
Meier
and M.-C.
Heitz
, J. Chem. Phys.
123
, 044504
(2005
).24.
P.
Marquetand
, S.
Gräfe
, D.
Scheidel
, and V.
Engel
, J. Chem. Phys.
124
, 054325
(2006
).25.
V.
Malinovsky
and D. J.
Tannor
, Phys. Rev. A
56
, 4929
(1997
).26.
S.
Gräfe
, M.
Erdmann
, and V.
Engel
, Phys. Rev. A
72
, 013404
(2005
).27.
H. R.
Thorsheim
, J.
Weiner
, and P. S.
Julienne
, Phys. Rev. Lett.
58
, 2420
(1987
).28.
M.
Machholm
, A.
Giusti-Suzor
, and F. H.
Mies
, Phys. Rev. A
50
, 5025
(1994
).29.
M. V.
Korolkov
, J.
Manz
, G. K.
Paramonov
, and B.
Schmidt
, Chem. Phys. Lett.
260
, 604
(1996
).30.
P.
Backhaus
, B.
Schmidt
, and M.
Dantus
, Chem. Phys. Lett.
306
, 18
(1999
).31.
E.
Luc-Koenig
, R.
Kosloff
, F.
Masnou-Seeuws
, and M.
Vatasescu
, Phys. Rev. A
70
, 033414
(2004
).32.
C. P.
Koch
, R.
Kosloff
, E.
Luc-Koenig
, F.
Masnou-Seeuws
, and A.
Crubellier
, J. Phys. B
39
, S1017
(2006
).33.
M.
Shapiro
and P.
Brumer
, Phys. Rep.
425
, 195
(2006
).34.
R.
Schinke
, Photodissociation Dynamics
(Cambridge University Press
, Cambridge
, 1993
).35.
A.
Fioretti
, D.
Comparat
, A.
Crubellier
, O.
Dulieu
, F.
Masnou-Seeuws
, and P.
Pillet
, Phys. Rev. Lett.
80
, 4402
(1998
).36.
U.
Marvet
and M.
Dantus
, Chem. Phys. Lett.
245
, 393
(1995
).37.
F.
Fatemi
, K. M.
Jones
, H.
Wang
, I.
Walmsley
, and P. D.
Lett
, Phys. Rev. A
64
, 033421
(2001
).38.
B. L.
Brown
, A. J.
Dicks
, and I. A.
Walmsley
, Phys. Rev. Lett.
96
, 173002
(2006
).39.
W.
Salzmann
, U.
Poschinger
, R.
Wester
et al., Phys. Rev. A
73
, 023414
(2006
).40.
C. P.
Koch
, J. P.
Palao
, R.
Kosloff
, and F.
Masnou-Seeuws
, Phys. Rev. A
70
, 013402
(2004
).41.
U.
Poschinger
, W.
Salzmann
, R.
Wester
, M.
Weidemüller
, C. P.
Koch
, and R.
Kosloff
, J. Phys. B
39
, S1001
(2006
).42.
B.
Schafer-Bung
, R.
Mitric
, and V.
Bonacic-Koutecky
, J. Phys. B
39
, S1043
(2006
).43.
44.
P.
Marquetand
and V.
Engel
, Chem. Phys. Lett.
407
, 471
(2005
).45.
A.
Guldberg
and G. D.
Billing
, Chem. Phys. Lett.
186
, 229
(1991
).46.
M. A.
Buldakov
and V. N.
Cherepanov
, J. Phys. B
37
, 3973
(2004
).47.
R.
Kosloff
and H.
Tal-Ezer
, Chem. Phys. Lett.
127
, 223
(1986
).48.
M. D.
Feit
, J. A.
Fleck
, and A.
Steiger
, J. Comput. Phys.
47
, 412
(1982
).49.
P.
Marquetand
, C.
Meier
, and V.
Engel
, J. Chem. Phys.
123
, 204320
(2005
).50.
S.
Chelkowski
, A. D.
Bandrauk
, and P. B.
Corkum
, Phys. Rev. Lett.
65
, 2355
(1990
).51.
T.
Witte
, T.
Hornung
, L.
Windhorn
, D.
Proch
, R.
de Vivie-Riedle
, M.
Motzkus
, and K. L.
Kompa
, J. Chem. Phys.
118
, 2021
(2003
).52.
M. J.
Wright
, S. D.
Gensemer
, J.
Vala
, R.
Kosloff
, and P. L.
Gould
, Phys. Rev. Lett.
95
, 063001
(2005
).53.
M. J.
Wright
, J. A.
Pechkis
, J. L.
Carini
, S.
Kallush
, R.
Kosloff
, and P. L.
Gould
, Phys. Rev. A
75
, 051401
(2007
).54.
C. D.
Schwieters
and H.
Rabitz
, Phys. Rev. A
44
, 5224
(1991
).55.
C. D.
Schwieters
and H.
Rabitz
, Phys. Rev. A
48
, 2549
(1993
).56.
Y.
Zhao
and O.
Kühn
, J. Phys. Chem. A
104
, 4882
(2000
).57.
S.
Gräfe
, P.
Marquetand
, and V.
Engel
, J. Photochem. Photobiol., A
180
, 271
(2006
).58.
T. D.
Gaily
, S. D.
Rosner
, and R. A.
Holt
, Rev. Sci. Instrum.
47
, 143
(1976
).© 2007 American Institute of Physics.
2007
American Institute of Physics
You do not currently have access to this content.
