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Interplay of nonlinear and quantum effects in the ground state of theE$\otimes (b_1+b_2)$ Jahn-Teller model was investigated by the {\it variationalapproach and exact numerical simulations}. They result in the recognition of(i) importance of the admixture of {\it the first excited state of thedisplaced harmonic oscillator} of the symmetric phonon mode in the ground stateof the system in the selftrapping-dominated regime; (ii) existence of {\it theregion of localized $b_1$-undisplaced oscillator states} in thetunneling-dominated regime. The effect (i) occurs owing to significant decreaseof the ground state energy on account of the overlapping contribution of thesymmetric phonon mode between the states of the same parity. This contributionconsiderably improves variational results especially in theselftrapping-dominated regime. Close to the E$\otimes$e limit, the nonlineareffects of {\it two-mode correlations} turn to be effective due to therotational symmetry of this case. In the tunneling-dominated regime the phononwave functions behave like the strongly localized harmonic oscillator groundstate and the effect (i) looses its significance.Comment: 28 pages,6 figure

journal of physics. condensed matter

Nonlinear effects inE (b1 b2) Jahn Teller model: variational approach with excited phonon states and mode correlations