title: Fermi resonance in dynamical tunneling in a chaotic billiard.
abstract: We elucidate that Fermi resonance ever plays a decisive role in dynamical tunneling in a chaotic billiard. Interacting with each other through an avoided crossing, a pair of eigenfunctions are coupled through tunneling channels for dynamical tunneling. In this case, the tunneling channels are an islands chain and its pair unstable periodic orbit, which equals the quantum number difference of the eigenfunctions. This phenomenon of dynamical tunneling is confirmed in a quadrupole billiard in relation with Fermi resonance.
authors.affiliation: Department of Emerging Materials Science, DGIST. Hyeonpung-myeon Dalseong-gun, Daegu 711-873, Korea.
authors.forename: Chang-Hwan
authors.initials: CH
authors.lastname: Yi
authors.affiliation: Department of Physics, Sogang University, Seoul, 121-742, Korea.
authors.forename: Ji-Hwan
authors.initials: JH
authors.lastname: Kim
authors.affiliation: Department of Physics, Sogang University, Seoul, 121-742, Korea.
authors.forename: Hyeon-Hye
authors.initials: HH
authors.lastname: Yu
authors.affiliation: Department of Emerging Materials Science, DGIST. Hyeonpung-myeon Dalseong-gun, Daegu 711-873, Korea.
authors.forename: Ji-Won
authors.initials: JW
authors.lastname: Lee
authors.affiliation: Department of Emerging Materials Science, DGIST. Hyeonpung-myeon Dalseong-gun, Daegu 711-873, Korea.
authors.forename: Chil-Min
authors.initials: CM
authors.lastname: Kim