Eva Majerníková

Entropic uncertainty measure for fluctuations in two-level electron-phonon models

Two-level electron-phonon systems with reflection symmetry linearly coupled to one or two phonon modes (exciton and E

The momentum entropy of the infinite potential well

\otimes(b_1+b_2)

Nonlinear effects in E ⊗ (b1 + b2) Jahn–Teller model: variational approach with excited phonon states and mode correlations

Jahn-Teller model) exhibit strong enhancement of quantum fluctuations of the phonon coordinates and momenta due to the complex interplay of quantum fluctuations and nonlinearities inherent to the models. We show that for the complex correlated quantum fluctuations of the anisotropic two-level systems the Shannon entropies of phonon coordinate and momentum and their sum yield their proper global description. On the other hand, the variance measures of the Heisenberg uncertainties suffer from several shortcomings to provide proper description of the fluctuations. Wave functions, related entropies and variances were determined by direct numerical simulations. Illustrative variational calculations were performed to demonstrate the effect on an analytically tractable exciton model.

Quantum chaotic patterns in the E (b1 + b2) Jahn-Teller model.

This paper deals with the determination of the momentum information entropy for the infinite potential well in dependence on its quantum states and presents an asymptotical formula for the information entropy in its momentum space. The upper bound of the sum of the position and momentum information entropies for the stationary states of the potential well is also estimated.

Standard and entropic uncertainty relations of the finite well

Interplay of nonlinear and quantum effects in the ground state of the E

Kinks in the discrete sine-Gordon model with Kac-Baker long-range interactions

\otimes (b_1+b_2)

Stabilization of a polaron due to quantum fluctuations correlated with phonon displacements

Jahn-Teller model was investigated by the {\it variational approach and exact numerical simulations}. They result in the recognition of (i) importance of the admixture of {\it the first excited state of the displaced harmonic oscillator} of the symmetric phonon mode in the ground state of the system in the selftrapping-dominated regime; (ii) existence of {\it the region of localized

Ising instability of a Holstein phonon mode in graphene

b_1

Marginal intermediate statistics in the excited spectra of the E ⊗ (b1 + b2) Jahn–Teller system

-undisplaced oscillator states} in the tunneling-dominated regime. The effect (i) occurs owing to significant decrease of the ground state energy on account of the overlapping contribution of the symmetric phonon mode between the states of the same parity. This contribution considerably improves variational results especially in the selftrapping-dominated regime. Close to the E

Quantum fluctuations of a polaron due to finite ionic mass in a model of a one-dimensional electron-phonon peierls system

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