Finite-temperature nonlinear dynamics in cavity QED: A Thermofield   Dynamics Approach
  Heath-bath effects in the dynamics of atom + cavity system are studied. The temperature effects are explored using thermofield dynamics formalism. It is found that the dynamics of the system is sensitive to small changes in the temperature and the thermal effects lead to increasing instabilities by causing transitions from regular to chaotic motion. 
D.U.Matrasulov, T.Ruzmetov, D.M.Otajanov, P.K.Khabibullaev,   A.A.Saidov, F.C.Khanna
quant-ph cond-mat.mes-hall nlin.CD physics.atom-ph