Chaotic instantons and enhancement of tunneling in kicked double-well system with time-reversal symmetry

2010/02/15 by V. I. Kuvshinov, В. И. Кувшинов, A. V. Kuzmin +5
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.48550/arxiv.1002.2875

9 pages, 6 figures

arxiv created 2010/02/15 · openalex publication_date 2010/02/15 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Chaotic instanton approach is used to describe dynamical tunneling in kicked double well system. Effective Hamiltonian for the kicked system is obtained using matrix expansion formula for operator exponent and exploited to construct an approximation for chaotic instanton solution. This approximation is used for derivation of the ground quasienergy splitting dependence on both the perturbation strength and frequency. Results of numerical calculations for corresponding ground quasienergy splitting dependencies based on Floquet theory are in good agreement with the derived analytical formula in a wide range of perturbation parameters.

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