Geodesic
Soliton-pair Propagation under Thermal Bath Effect
N. Boutabba1, 2 ; H. Eleuch1, 3, 2
1 Department of Physics and Astronomy, Texas A&M University College Station, Texas 77843, USA
2 Université of Carthage, Tunis, Tunisia
3 Max Planck Institute for Physics of Complex Systems, 01187 Dresden, Germany
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 2, pp. 32-37

Voir la notice de l'article provenant de la source EDP Sciences

We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.
DOI : 10.1051/mmnp/20127203

N. Boutabba 1, 2 ; H. Eleuch 1, 3, 2

1 Department of Physics and Astronomy, Texas A&M University College Station, Texas 77843, USA
2 Université of Carthage, Tunis, Tunisia
3 Max Planck Institute for Physics of Complex Systems, 01187 Dresden, Germany 
@article{10_1051_mmnp_20127203,
     author = {N. Boutabba and H. Eleuch},
     title = {Soliton-pair {Propagation} under {Thermal} {Bath} {Effect}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {32--37},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2012},
     doi = {10.1051/mmnp/20127203},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127203/}
}
TY  - JOUR
AU  - N. Boutabba
AU  - H. Eleuch
TI  - Soliton-pair Propagation under Thermal Bath Effect
JO  - Mathematical modelling of natural phenomena
PY  - 2012
SP  - 32
EP  - 37
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127203/
DO  - 10.1051/mmnp/20127203
LA  - en
ID  - 10_1051_mmnp_20127203
ER  - 
%0 Journal Article
%A N. Boutabba
%A H. Eleuch
%T Soliton-pair Propagation under Thermal Bath Effect
%J Mathematical modelling of natural phenomena
%D 2012
%P 32-37
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127203/
%R 10.1051/mmnp/20127203
%G en
%F 10_1051_mmnp_20127203
N. Boutabba; H. Eleuch. Soliton-pair Propagation under Thermal Bath Effect. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 2, pp. 32-37. doi: 10.1051/mmnp/20127203

[1] L. Allen, J. Eberly. Optical Resonance and Two-Level Atoms. Dover, New York, 1987.

[2] G. Alzetta, A. Gozzini, L. Moi, G. Orriols Nuova Cimento 1976 5 20

[3] A. Baas, J. Karr, H. Eleuch, E. Giacobino Phys. Rev. A 2004 023809

[4] A. Bishop, J. Krumhansl, S. Trullinger Physica D 1980 1 44

[5] K. Boller, A. Imamogluand, S. Harris Phys. Rev. Lett 1991 2593 2596

[6] N. Boutabba, L. Hassine, A. Rihani, H. Bouchriha Synthetic Metals 2003 227 231

[7] N. Boutabba, L. Hassine, N. Loussaief, F. Kouki, H. Bouchriha Organic Electronics 2003 1 8

[8] N. Boutabba, H. Eleuch, H. Bouchriha Synthetic Metals 2009 1239 1243

[9] M. Chernodub, Sh. Hu, A. Niemi Phys. Rev. E 2010 011916

[10] C. Lechner, S. Husa, C. Aichelburg Phys. Rev. D 2000 044047

[11] G. Dridi, S. Guerin, V. Hakobyan, H Jauslin, H Eleuch Phys. Rev A 2009 043408

[12] J. Eberly Quantum Semiclass. Opt. 1995 373 384

[13] H. Eleuch, N. Rachid Eur. Phys. J. D. 2010 259 264

[14] H. Eleuch Eur. Phys. J. D. 2008 139 143

[15] H. Eleuch Eur. Phys. J. D. 2008 391 395

[16] H. Eleuch Applied Mathematics & Information Science 2009 185 196

[17] H. Eleuch, N. Ben Nessib, R. Bennaceur Eur. Phys. J. D 2004 391 395

[18] H. Eleuch, R. Bennaceur J. Opt. B : Quantum and Semiclassical Optics 2004 189 195

[19] H. Eleuch J. Phys. B 2008 055502

[20] H. Eleuch, D. Elser, R. Bennaceur Laser Phys. Lett. 2004 391 396

[21] H. Eleuch, R. Bennaceur J. Opt. A : Pure Appl.Opt. 2003 528 533

[22] E. Giacobino, J. Karrr, G. Messin, H. Eleuch C. R. Physique 2002 41 52

[23] H. Gray, R. Whitley, C. Stroud Optics Letters 1978 218 220

[24] Y. Guo, C. Kao, E. Li, K. Chiang. Nonlinear Photonics, Series in Photonics, Springer, New York, 2002.

[25] H. Jabri, H. Eleuch, T. Djerad Laser Phys. Lett. 2005 253 257

[26] P. Jha, H. Eleuch, Y. Rostovtsev Phys. Rev. A 2010 045805

[27] G. Korchemsky, I. Krichever Nucl. Phys. B 1997 387 414

[28] L. Mandel, E. Wolf. Optical Coherence and Quantum Optics, Cambridge University Press, New York, 1995.

[29] M. Marklund, D. Tskhakaya, P. Shukla Europhys. Lett. 2005 950 954

[30] G. Messin, J. Karr, H. Eleuch, J. Courty, E. Giacobino J. Phys. : Condens. Matter 1999 6069 6078

[31] Q. Park, H. Shin Phys. Rev. E 2000 3093

[32] Y. Rostovstev, H. Eleuch, A. Svidzinsky, H. Li, V. Sautenkov, M. Scully Phys. Rev. A. 2009 063833

[33] E. Sete, H. Eleuch Phys. Rev. A 2010 043810

[34] M. Wesner, C. Herden, R. Pankrath, D. Kip, P. Moretti Phys. Rev. E 2001 036613

Cité par Sources :