Coherent tunnelling, squeezing, chaotic behaviour and fractal dimension in a bistable potential

H. Dekker

Hanan Ali Batarfi, Saad S. M. Hassan, R. Saunders +1 more

H. Dekker

The tunnelling propagator is determined by means of an explicit evaluation of the small energy level splittings for ground state as well as excited state doublets in a symmetric double-well potential. Squeezing the initial state is shown to generate considerable chaotic tunnelling features, which are conjectured to involve a fractal dimension.

R. Ju, Zhang Ya-Jun, Huang Hong-Bin +2 more

Considering the atomic coherences and injected classical field, we derived the n-Onphase-locking Lorenz-Haken equation by using the technique of stochastic differential equations. The effects of detuning, injected field and the atomic coherence on the dynamical characteristics of this equation is then numerically studied. The results show that in laser working situations, the detuning can result in chaotic behaviors of the light phase. Under different conditions, the system can generate four attractors, double attractors and single attractor, and the fractal dimension of the system is larger than that of the locking-phase system. The optical detuning, injected field and atomic coherence can inhibit the chaos of the cavity field. In the optical bistability regions, we obtain symmetric bistability pair, but never find the chaotic attractors.

Niall D. Whelan

M. Ya. Azbel

This paper considers tunneling traversal time; tunneling through an alternating potential, its enhancement and its fractal (Hofstadter butterfly) and chaotic resonances; and Hartree liquid resonance tunneling and its (specifically quantum) instability and turbulence.