Quantum tunneling in the periodically driven SU(2) model

Yōsuke Kayanuma

Frank Gro�mann, Peter Jung, Thomas Dittrich +1 more

P. Kamiński, Marek Płoszajczak, Robert Arvieu

Quantum tunnelling is investigated using an exactly soluble, periodically driven Lipkin N -body model. Coherent suppression of the tunnelling is found for specific parameters of the driven force. The simple two-level model explains this behaviour qualitatively in a limited range of the driving amplitude and frequency.

Ilkka Juhani Tittonen, M. Kira, W. K. Lai +1 more

Feng Xu

We study a wavepacket tunneling in one-dimensional periodically driven double-well system using entangled trajectory molecular dynamics method. The tunneling dynamics dependents on the amplitude and frequency of the driven force are present. Both resonant and nonresonant tunneling process are enhanced by the driven force when the system is chaotic under classical dynamics. We give entangled trajectory in phase space compared to corresponding classical trajectory with same initial state to visually show quantum tunneling process. The average values of quantum tunneling probability after long time evolution have been shown in the parameter spaces, the effect of resonance and chaos on the tunneling dynamics are present. The relation between chaos and the uncertainly product is discussed in the end. © 2016 Wiley Periodicals, Inc.

Milena Grifoni, Peter Hänggi A