Abstract:
The methods of the quantum theory of fluctuations and damping are used
to obtain a master equation for the density matrix of Bogolyubov–coherent
excitons, photons, and biexcitons in solids. Glauber's P representation is used to derive a Fokker–Planck equation for the system of coherent quasiparticles. Conditions are found for two-photon lasing biexcitons in the case of exciton-biexciton conversion. It is
shown that transition from the disordered to the ordered phase is equivalent to a phase transition of the first kind.
Citation:
S. A. Moskalenko, A. Kh. Rotaru, Yu. M. Shvera, “Fokker–Planck equation and allowance for quantum fluctuations in the theory of excitons and biexcitons of high density”, TMF, 75:2 (1988), 295–305; Theoret. and Math. Phys., 75:2 (1988), 536–543
\Bibitem{MosRotShv88}
\by S.~A.~Moskalenko, A.~Kh.~Rotaru, Yu.~M.~Shvera
\paper Fokker--Planck equation and allowance for quantum fluctuations in the theory of excitons and biexcitons of high density
\jour TMF
\yr 1988
\vol 75
\issue 2
\pages 295--305
\mathnet{http://mi.mathnet.ru/tmf4912}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 2
\pages 536--543
\crossref{https://doi.org/10.1007/BF01017495}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172900014}
Linking options:
https://www.mathnet.ru/eng/tmf4912
https://www.mathnet.ru/eng/tmf/v75/i2/p295
This publication is cited in the following 2 articles:
A. Kh. Rotaru, V. Z. Tronchu, “Optical bistability, switching, and self-pulsing in direct-gap semiconductors upon the binding of two excitons in a biexciton”, Phys. Solid State, 40:10 (1998), 1641
A. Kh. Rotaru, V. Z. Tronchu, “Nonlinear time-independent and time-dependent propagation of light in direct-gap semiconductors with paired excitons bound into biexcitons”, J. Exp. Theor. Phys., 85:5 (1997), 971