Complexified stable and unstable manifolds and chaotic tunneling

DOI10.1088/1751-8121/AC5BF2zbMath1505.81075OpenAlexW4220813249MaRDI QIDQ5049926

Ryonosuke Koda, Akira Shudo

Publication date: 14 November 2022

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/ac5bf2

zbMATH Keywords

Julia setchaotic tunnelingcomplex semiclassical methodcomplexified stable and unstable manifold

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Tunneling in quantum theory (81U26)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shift automorphisms in the Henon mapping
• Chaotic boundary of a hamiltonial map
• Some open problems in dynamical systems
• Markov shifts in the Hénon family
• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
• Stochastic behavior in classical and quantum Hamiltonian systems. Volta memorial conference, Como, 1977
• Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\)
• Homoclinic bifurcations for the Hénon map
• Resonance-assisted tunneling
• Convergence analysis of Davidchack and Lai's algorithm for finding periodic orbits
• Chaotic tunneling: A remarkable manifestation of complex classical dynamics in non-integrable quantum phenomena
• Invariant sets under iteration of rational functions
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Toward pruning theory of the Stokes geometry for the quantum Hénon map
• On the complex analytic structure of the golden invariant curve for the standard map
• Quantum suppression of chaotic tunnelling
• On Hyperbolic Plateaus of the Henon Map
• Stokes geometry for the quantum Hénon map
• Symplectic maps, variational principles, and transport
• Dynamical properties of plane polynomial automorphisms
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Regular and irregular semiclassical wavefunctions
• Semiclassical theory of spectral rigidity
• FERN-LIKE STRUCTURES IN THE WILD SET OF THE STANDARD AND SEMISTANDARD MAPS IN C²
• Homoclinic Orbits in the Complex Domain
• Exact semiclassical expansions for one-dimensional quantum oscillators
• Julia set describes quantum tunnelling in the presence of chaos
• An algorithm to prune the area-preserving Hénon map
• Characterization of unstable periodic orbits in chaotic attractors and repellers
• Julia sets and chaotic tunneling: I
• Julia sets and chaotic tunneling: II
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Quantum signatures of chaos

This page was built for publication: Complexified stable and unstable manifolds and chaotic tunneling