Non-linear wave packet dynamics of coherent states of various symmetry groups

Optics Express

Volumn 5, Issue 10, 1999, Pages 220-229

  Banerji, J ^a   Agarwal, G S ^a  

^a PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT LIGHT; ELECTRON ENERGY LEVELS; ENERGY ABSORPTION; HAMILTONIANS; HARMONIC ANALYSIS; LIGHT PROPAGATION; NONLINEAR OPTICS; OPTICAL KERR EFFECT; OSCILLATORS (ELECTRONIC); QUANTUM THEORY; SPECTRUM ANALYSIS; WAVE EQUATIONS;

ENERGY SPECTRUM; GENERIC SIGNATURES; HEISENBERG-WEYL GROUPS; SYMMETRY GROUPS;

QUANTUM OPTICS;

EID: 0037864728     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.5.000220     Document Type: Article

References (21)

1. I. Sh. Averbukh and N. F. Perelman, "fractional revival: Universality in the long-term evolution of quantum wave packets beyond the correspondence principle dynamics," Phys. Lett. A 189, 449 (1989).
2. Z. D. Gaeta and C. R. Stroud Jr., "Classical and quantum-mechanical dynamics of a quasiclassical state of the hydrogen atom," Phys. Rev. A 42, 6308 (1990).
3. X. Chen and J. A. Yeazell, "Phase-conjugate picture of a wave-packet interference design for arbitrary target states," Phys. Rev. A 59, 3782 (1999).
4. J. H. Eberly, N. B. Narozhny, and J. J. Sanchez-Mondragon, "Periodic spontaneous collapse and revival in a simple quantum model," Phys. Rev. Lett. 44, 1323 (1980).
5. B. Yurke and D. Stoler, "Generating quantum mechanical superpositions of macroscopically distinguishable states via amplitude dispersion," Phys. Rev. Lett. 67, 13 (1986).
6. K. Tara, G. S. Agarwal, and S. Chaturvedi, "Production of Schrödinger macroscopic quantum-superposition states in a Kerr medium," Phys. Rev. A 47, 5024 (1993).
7. C. Leichtle, I. Sh. Averbukh, and W. P. Schleich, "Multilevel quantum beats: an analytical approach," Phys. Rev. A 54, 5299 (1996).
8. R. Bluhm, V. A. Kostelecký and B. Tudose, "Wave-packet revivals for quantum systems with nondegenerate energies," Phys. Lett. A 222, 220 (1996).
9. G. S. Agarwal and J. Banerji, "Fractional revivals in systems with two time scales," Phys. Rev. A 57, 3880 (1998).
10. J. Banerji and G. S. Agarwal, "Revival and fractional revival in the quantum dynamics of SU(1,1) coherent states," Phys. Rev. A 59, 4777 (1999).
11. G. S. Agarwal, "Nonclassical statistics of fields in pair coherent states," J. Opt. Soc. Am. B 5, 1940 (1988).
12. A. M. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin 1986).
13. Coherent states, edited by J. R. Klauder and B. S. Skagerstam, (World Scientific, Singapore, 1985).
14. C. M. Caves and B. L. Shumaker, "New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states," Phys. Rev. A 31, 3068 (1985).
15. F. T. Arecchi, E. Courtens, R. Gilmore and H. Thomas, "Atomic coherent states in quantum optics," Phys. Rev. A 6, 2211 (1972).
16. K. Wódkiewicz and J. H. Eberly, "Coherent states, squeezed fluctuations, and the SU(2) and SU(1,1,) groups in quantum-optics applications," J. Opt. Soc. Am B 2, 458 (1985).
17. V. Bužek and T. Quang, "Generalized coherent state for bosonic realization of SU(2) Lie algebra," J. Opt. Soc. Am B 6, 2447 (1989).
18. G. S. Agarwal, R. R. Puri and R. P. Singh, "Atomic Schrödinger cat states," Phys. Rev. A 56, 2249 (1997).
19. G. S. Agarwal, R. R. Puri and R. P. Singh, "Vortex states for the quantized radiation field," Phys. Rev. A 56, 4207 (1997).
20. L. Allen, M. J. Padgett and M. Babiker, "The orbital angular momentum of light" in Progress in Optics, edited by E. Wolf, (North Holland, Amsterdam), 39, 294 (1999).
21. J. H. Hannay and M. V. Berry, "Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating," Physica, 1D, 267 (1980).