Resonance-assisted tunneling in three degrees of freedom without discrete symmetry
Abstract
We study dynamical tunneling in a near-integrable Hamiltonian with three degrees of freedom. Despite the absence of discrete symmetry we show that the mixing of near-degenerate quantum states is due to dynamical tunneling mediated by the nonlinear resonances in the classical phase space. Identifying the key resonances allows us to selectively suppress the dynamical tunneling by adding weak counter-resonant terms.
- Publication:
-
Physical Review E
- Pub Date:
- October 2005
- DOI:
- 10.1103/PhysRevE.72.045203
- arXiv:
- arXiv:nlin/0505020
- Bibcode:
- 2005PhRvE..72d5203K
- Keywords:
-
- 05.45.Mt;
- 34.10.+x;
- 03.65.Xp;
- Quantum chaos;
- semiclassical methods;
- General theories and models of atomic and molecular collisions and interactions;
- Tunneling traversal time quantum Zeno dynamics;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 4 pages, 4 figures (low resolution)