Q.R. Huang, Ho-Cheol Kim, et al.
Macromolecules
Dissipation is important for many systems whose behavior lies between classical and quantum physics. Such systems are of interest to test ideas about quantum chaos; yet there is no suitable formulation of dissipative quantum mechanics for computing dynamics. This paper describes our effort to formulate and solve numerically one such system, the small-area tunnel junction, with or without superconducting electrodes. We take a phenomenological approach using a damping term in a washboard Hamiltonian. For dc bias, the simulations give the Josephson effect or the Coulomb blockade in the appropriate limits. We also apply a sinusoidal current bias to the junction, using parameters that would give chaos in the corresponding classical equations of motion. In this case, the quantum dynamics has a classical remnant in the form of long chaotic transients at the classical boundary of chaos. However, the quantum system eventually becomes periodic for all parameters tried so far. © 1992 The American Physical Society.
Q.R. Huang, Ho-Cheol Kim, et al.
Macromolecules
R. Ghez, J.S. Lew
Journal of Crystal Growth
Shu-Jen Han, Dharmendar Reddy, et al.
ACS Nano
R.W. Gammon, E. Courtens, et al.
Physical Review B