Geodesic
Theory of superfluidity in a polariton system
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 372-384 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the superfluidity properties of a two-dimensional system of polaritons in an optical cavity. Deriving an expression for the effective low-energy action for thermodynamic phase fluctuations, we simultaneously obtain the expression for an analogue of superfluid density in the system in terms of the current–current correlation function and also find the expression for the current operator. We describe the Bogoliubov approximation for a polariton system and calculate the superfluid density. We discuss the Berezinskii–Kosterlitz–Thouless transition in the system under study.
Keywords: exciton, superfluidity, functional integration method, Popov approximation.
Mots-clés : polariton 
@article{TMF_2008_154_2_a13,
     author = {Yu. E. Lozovik and A. G. Semenov},
     title = {Theory of superfluidity in a~polariton system},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {372--384},
     year = {2008},
     volume = {154},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a13/}
}
TY  - JOUR
AU  - Yu. E. Lozovik
AU  - A. G. Semenov
TI  - Theory of superfluidity in a polariton system
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 372
EP  - 384
VL  - 154
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a13/
LA  - ru
ID  - TMF_2008_154_2_a13
ER  - 
%0 Journal Article
%A Yu. E. Lozovik
%A A. G. Semenov
%T Theory of superfluidity in a polariton system
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 372-384
%V 154
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a13/
%G ru
%F TMF_2008_154_2_a13
Yu. E. Lozovik; A. G. Semenov. Theory of superfluidity in a polariton system. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 372-384. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a13/

[1] A. Kavokin, G. Malpuech, Cavity Polaritons, Elsevier, Amsterdam, 2003

[2] H. Deng, G. Weihs, C. Santori, J. Bloch, Y. Yamamoto, Science, 298 (2002), 199 | DOI

[3] H. Cao, S. Pau, J. M. Jacobson, G. Bjork, Y. Yamamoto, A. Imamŏglu, Phys. Rev. A, 55 (1997), 4632 | DOI

[4] Yu. E. Lozovik, A. G. Semenov, M. Villander, Pisma v ZhETF, 84:3 (2006), 176 | DOI

[5] J. Kasprzak, M. Richard, S. Kundermann at al., Nature, 443 (2006), 409 | DOI

[6] Yu. E. Lozovik, O. L. Berman, ZhETF, 111 (1997), 1879 ; Yu. E. Lozovik, O. L. Berman, V. G. Tsvetus, Phys. Rev. B, 59 (1999), 5627 | DOI

[7] J. M. Kosterlitz, D. J. Thouless, J. Phys. C, 6 (1973), 1181 ; J. M. Kosterlitz, J. Phys. C, 7 (1974), 1046 | DOI | DOI

[8] V. N. Popov, Kontinualnye integraly v kvantovoi teorii polya i statisticheskoi fizike, Atomizdat, M., 1976 | MR | MR | Zbl

[9] L. Pitaevskii, S. Stringari, Bose–Einstein Condensation, Int. Ser. Monogr. Phys., 116, Clarendon Press, Oxford, 2003 | MR | Zbl

[10] D. R. Nelson, J. M. Kosterlitz, Phys. Rev. Lett., 39 (1977), 1201 | DOI