Chaos assisted instanton tunneling in one dimensional perturbed periodic potential

Details Chaos assisted instanton tunneling in one dimensional perturbed periodic potential Chaos assisted instanton tunneling in one dimensional perturbed periodic potential

2003-05-18

arxiv.org/abs/nlin/0305028v1

Phys.Rev. E67 (2003) 015201

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.67.015201

For the system with one-dimensional spatially periodic potential we demonstrate that small periodic in time perturbation results in appearance of chaotic instanton solutions. We estimate parameter of local instability, width of stochastic layer and correlator for perturbed instanton solutions. Application of the instanton technique enables to calculate the amplitude of the tunneling, the form of the spectrum and the lower bound for width of the ground quasienergy zone.

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