%0 Book Section %1 statphys23_0972 %A Lyagushyn, S.F. %A Salyuk, Y.U.M. %A Sokolovsky, A.I. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K cavity description emitter losses motion reduced statphys23 superradiance topic-3 %T Influence of experimental situation on superradiance pulse parameters in the reduced description scheme %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=972 %X The coherent spontaneous radiation predicted by Dicke is one of the most complicated collective quantum phenomena from the point of view of experimental realization. Own motion of emitters and interaction between a superfluorescent system and its surroundings (a cavity, according to quantum electronics tradition) are main factors affecting the formation of a coherent pulse. The first one can be taken into account via the non-uniform Lorenz broadening, the second one is treated through introducing additional terms describing photon-phonon interaction into the system Hamiltonian. We propose the most consequent way of considering the thermal motion influence on the Dicke system kinetics basing on the Bogolyubov reduced description method in the form developed by S.V.Peletminskii and his school 1. Since emitters are associated with particles of a gas, liquid or crystal grating, we have to take into account the translational degrees of freedom and introduce a new reduced description parameter – the energy of a quasi-equilibrium system of moving particles depending on time. The basic kinetic equation for the statistical operator of a quasispin emitter subsystem constructed in a standard way 2 is modified with new terms and should be solved together with the evolution equation for the translation motion energy. For the Dicke process in a crystal an analogous result is obtained when the displacement operators included in the collective operators of emitters are expressed via the usual phonon operators. Then we proceed to the generalization of the Rehler-Eberly equation where a z-component of the total quasispin is chosen as a reduced description parameter, the coefficients in the obtained equation including Van Hove functions. The next step in our investigation is considering the Dicke Hamiltonian with a term corresponding to the interaction between the electromagnetic field and quantum oscillators forming a cavity with finite quality. This problem is researched in the framework of the boson variable elimination method 3 and the effect of the pulse front sharpening has been explained. The reduced description method provides a more thorough analysis of the situation with taking into account the cavity energy changes. 1) Akhiezer A.I., Peletminskii S.V. Methods of Statistical Physics. Pergamon Press, Oxford, 1981.\\ 2) Lyagushyn S.F., Salyuk Yu.M., Sokolovsky A.I. Kinetics of emitters of electromagnetic field in the Bogolyubov reduced description method. Part. Nucl., 2005, Vol.36, Suppl.1, P. S123-S127.\\ 3) Kadantseva E.P., Lyagushin S.F., Shumovsky A.S. Superradiation with Losses. Preprint of the JINR P17-89-431, Dubna, 1989.

@incollection{statphys23_0972, abstract = {The coherent spontaneous radiation predicted by Dicke is one of the most complicated collective quantum phenomena from the point of view of experimental realization. Own motion of emitters and interaction between a superfluorescent system and its surroundings (a cavity, according to quantum electronics tradition) are main factors affecting the formation of a coherent pulse. The first one can be taken into account via the non-uniform Lorenz broadening, the second one is treated through introducing additional terms describing photon-phonon interaction into the system Hamiltonian. We propose the most consequent way of considering the thermal motion influence on the Dicke system kinetics basing on the Bogolyubov reduced description method in the form developed by S.V.Peletminskii and his school [1]. Since emitters are associated with particles of a gas, liquid or crystal grating, we have to take into account the translational degrees of freedom and introduce a new reduced description parameter – the energy of a quasi-equilibrium system of moving particles depending on time. The basic kinetic equation for the statistical operator of a quasispin emitter subsystem constructed in a standard way [2] is modified with new terms and should be solved together with the evolution equation for the translation motion energy. For the Dicke process in a crystal an analogous result is obtained when the displacement operators included in the collective operators of emitters are expressed via the usual phonon operators. Then we proceed to the generalization of the Rehler-Eberly equation where a z-component of the total quasispin is chosen as a reduced description parameter, the coefficients in the obtained equation including Van Hove functions. The next step in our investigation is considering the Dicke Hamiltonian with a term corresponding to the interaction between the electromagnetic field and quantum oscillators forming a cavity with finite quality. This problem is researched in the framework of the boson variable elimination method [3] and the effect of the pulse front sharpening has been explained. The reduced description method provides a more thorough analysis of the situation with taking into account the cavity energy changes. 1) Akhiezer A.I., Peletminskii S.V. Methods of Statistical Physics. Pergamon Press, Oxford, 1981.\\ 2) Lyagushyn S.F., Salyuk Yu.M., Sokolovsky A.I. Kinetics of emitters of electromagnetic field in the Bogolyubov reduced description method. Part. Nucl., 2005, Vol.36, Suppl.1, P. S123-S127.\\ 3) Kadantseva E.P., Lyagushin S.F., Shumovsky A.S. Superradiation with Losses. Preprint of the JINR P17-89-431, Dubna, 1989.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Lyagushyn, S.F. and Salyuk, Y.U.M. and Sokolovsky, A.I.}, biburl = {https://www.bibsonomy.org/bibtex/27124a5317d189daabafbd1d814a8fcd2/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {5738bfea4e3c078b7c8086ef70d96241}, intrahash = {7124a5317d189daabafbd1d814a8fcd2}, keywords = {cavity description emitter losses motion reduced statphys23 superradiance topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:35.000+0200}, title = {Influence of experimental situation on superradiance pulse parameters in the reduced description scheme}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=972}, year = 2007 }