Geodesic
Chaotic instantons and ground quasienergy splitting in kicked double-well system with time-reversal symmetry
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 325-335

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Chaotic instanton approach was used to describe tunneling properties of the particle in the kicked double well system. Effective Hamiltonian for the kicked system was constructed using matrix expansion formula for one period evolution operator exponent. Chaotic instanton approximation was constructed in the framework of the effective model. This approximation was used for estimation of the particle energy range on the chaotic instanton trajectory. Formula for ground quasienergy splitting was obtained averaging nonperturbed trajectory action in the obtained energy range in the framework of chaotic instanton approach. Results of numerical calculations for the ground quasienergy splitting dependence on both the perturbation strength and frequency are in good agreement with the derived analytical formula.
Keywords: double-well potential, chaotic instanton, quasienergy levels. 
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     title = {Chaotic instantons and ground quasienergy splitting in kicked double-well system with time-reversal symmetry},
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Vyatcheslav I. Kuvshinov; Andrey V. Kuzmin; Vadzim A. Piatrou. Chaotic instantons and ground quasienergy splitting in kicked double-well system with time-reversal symmetry. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 325-335. http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a6/