Abstract
Semiclassical catastrophes in the dynamics of a quantum rotor (molecule) driven by a strong time-varying field are considered. We show that for strong enough fields, a sharp peak in the rotor angular distribution can be achieved via time-domain focusing phenomenon, followed by the formation of angular rainbows and glory-like angular structures. Several scenarios leading to the enhanced angular squeezing are proposed that use specially designed and optimized sequences of pulses. The predicted effects can be observed in many processes, ranging from molecular alignment (orientation) by laser fields to heavy-ion collisions, and the squeezing of cold atoms in a pulsed optical lattice.
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References
F. Haake, “Quantum Signatures of Chaos”, Springer-Verlag, (Berlin, 1991)
F. L. Moore, J. C. Robinson, C. F. Bharucha, B. Sundaram, and M. G. Raizen, Phys. Rev. Lett. 75, 4598 (1995)
H. Ammann, R, Gray, I. Shvarchuck, and N. Christensen, Phys. Rev. Lett. 80, 4111 (1998)
D. Normand, L. A. Lompre, and C. Cornaggia, J. Phys. B 25, L497 (1992)
P. Dietrich, D. T. Strickland, M. Laberge, and P. B. Corkum, Phys. Rev. A 47, 2305 (1993)
G. R. Kumar et al., Phys. Rev. A 53, 3098 (1996)
J. Karczmarek, J. Wright, P. Corkum, and M. Ivanov, Phys. Rev. Lett. 82, 3420 (1999).
B. A. Zon and B. G. Katsnelson, Sov. Phys. JETP 42, 595 (1976)
B. Friedrich and D. Herschbach, Phys. Rev. Lett. 74, 4623 (1995); J. Phys. Chem. 99, 15686 (1995).
W. Kim and P. M. Felker, J. Chem. Phys. 104, 1147 (1996)
C. H. Lin, J. P. Heritage, and T. K. Gustafson, Appl. Phys. Lett. 19, 397 (1971); J. P. Heritage, T. K. Gustafson, and C. H. Lin, Phys. Rev. Lett. 34, 1299 (1975).
L. Fonda, N. Mankoč-Borśtnik, and M. Rosina, Phys. Rep. 158, 159 (1988)
P. M. Felker, J. Phys. Chem. 96, 7844 (1992)
T. Seideman, J. Chem. Phys. 103, 7887 (1995); ibid. 106, 2881 (1997)
T. Seideman, Phys. Rev. Lett. 83, 4971 (1999)
J. Ortigoso et al., J. Chem. Phys. 110, 3870 (1999)
L. Cai, J. Marango and B. Friedrich, Phys. Rev. Lett. 86, 775 (2001)
I. Sh. Averbukh and R. Arvieu, Phys. Rev. Lett. 87, 163601 (2001)
M. Leibscher and I. Sh. Averbukh, submitted, 2001
I. Sh. Averbukh, R. Arvieu, and M. Leibscher, to be published
R. W. Boyd, Nonlinear Optics, Academic Press, (Boston, 1992)
I. Sh. Averbukh and N. F. Perelman, Phys. Lett. A 139, 449 (1989); Sov. Phys. JETP 69, 464 (1989)
F. M. Izrailev et al., Proc. Conf. on Stochastic Behavior in Classical and Quantum Hamiltonian Systems, Como, Italy (Springer-Verlag, Berlin, 1977), p.334
F. M. Izrailev and D. L. Shepelyansky, Dokl. Akad. Nauk SSSR 249, 1103 (1979); Sov. Phys. Dokl. 24, 996 (1979)
Yu. A. Kravtsov and Yu. I. Orlov, “Caustics, Catastrophes and Wave Fields” (Springer Series on Wave Phenomena, 15), 2nd edition, (Springer-Verlag, Berlin, 1999).
K. W. Ford and J. A. Wheeler, Ann. Phys. 7, 259 (1959)
M. V. Berry, Adv. Phys. 25, 1 (1976)
S. D. Bosanac, J. Chem. Phys. 95, 5732 (1991)
P. S. Jessen and I. H. Deutsch, Adv. Atm Mol. Opt. Phys. 37, 95 (1996)
M. B. Dahan, E. Peik, J. Reichl, Y. Castin, and C. Salomon, Phys. Rev. Lett. 76, 4508 (1996)
S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Qian Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996)
Qian Niu, Xian-Geng Zhao, G. A. Gerogakis, and M. G. Raizen, Phys. Rev. Lett. 76, 4504 (1996)
R. Graham, M. Schlauutmann, and P. Zoller, Phys. Rev. Lett. 45, R19 (1992)
B. A. Zon, Eur. Phys. J. D8, 377 (2000)
H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, 1980)
for a recent review of atom lithography see, e. g. a special issue on nanomanipulation of atoms, Appl. Phys. B 70, issue 5 (2000) (D. Meschede and J. Mlynek eds)
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Averbukh, I.S., Arvieu, R., Leibscher, M. (2003). Controlling Quantum Rotation with Light. In: Bigelow, N.P., Eberly, J.H., Stroud, C.R., Walmsley, I.A. (eds) Coherence and Quantum Optics VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8907-9_5
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DOI: https://doi.org/10.1007/978-1-4419-8907-9_5
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