Nanoscale system dynamical behaviors: from quantum-dot-based cell to 1-D arrays

In this paper, we consider coupled quantum-dot cells, which are usually used for quantum-dot cellular automata, to build nanoscale dynamical systems. In particular, it is shown how the simple connection of few quantum-dot cells, quantum cellular nonlinear networks (Q-CNNs), can cause the onset of chaotic oscillations. Complex dynamics can be obtained only with small differences of polarizations and parameters. Local activity conditions are investigated for a two-cells case satisfying the criteria for the generation of complex spatio-temporal behaviors. The richness of dynamics of quantum CNNs is also emphasized through examples of synchronization in an array of so-built oscillators, in both cases of identical parameters and spatial dissymmetry.

[1]  Snider,et al.  Digital logic gate using quantum-Dot cellular automata , 1999, Science.

[2]  Wolfgang Porod,et al.  Quantum cellular neural networks , 1996, cond-mat/0005038.

[3]  G. Tóth,et al.  QUASIADIABATIC SWITCHING FOR METAL-ISLAND QUANTUM-DOT CELLULAR AUTOMATA , 1999, cond-mat/0004457.

[4]  L. Fortuna,et al.  Chaotic phenomena in quantum cellular neural networks , 2002, Proceedings of the 2002 7th IEEE International Workshop on Cellular Neural Networks and Their Applications.

[5]  W. Ditto,et al.  Taming spatiotemporal chaos with disorder , 1995, Nature.

[6]  W. Porod,et al.  Signal processing with near-neighbor-coupled time-varying quantum-dot arrays , 2000 .

[7]  Wolfgang Porod,et al.  Modeling nanoelectronic CNN cells: CMOS, SETs and QCAs , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[8]  Luigi Fortuna,et al.  Nonorganized Deterministic Dissymmetries Induce Regularity in Spatiotemporal Dynamics , 2000, Int. J. Bifurc. Chaos.

[9]  G. Tóth,et al.  Quantum computing with quantum-dot cellular automata , 2001 .

[10]  Leon O. Chua,et al.  Testing for Local Activity and Edge of Chaos , 2001, Int. J. Bifurc. Chaos.

[11]  W. Porod.  Quantum-dot devices and Quantum-dot Cellular Automata , 1997 .