Resonance-assisted tunneling in four-dimensional normal-form Hamiltonians Article Swipe
Related Concepts
Quantum tunnelling
Physics
Resonance (particle physics)
Hamiltonian (control theory)
Phase space
Scanning tunneling spectroscopy
Quantum mechanics
Condensed matter physics
Mathematics
Mathematical optimization
Markus Firmbach
,
Felix Fritzsch
,
Roland Ketzmerick
,
Arnd Bäcker
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.99.042213
· OA: W2908697849
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.99.042213
· OA: W2908697849
Nonlinear resonances in the classical phase space lead to a significant enhancement of tunneling. We demonstrate that the double resonance gives rise to a complicated tunneling peak structure. Such double resonances occur in Hamiltonian systems with an at least four-dimensional phase space. To explain the tunneling peak structure, we use the universal description of single and double resonances by the four-dimensional normal-form Hamiltonians. By applying perturbative methods, we reveal the underlying mechanism of enhancement and suppression of tunneling and obtain excellent quantitative agreement. Using a minimal matrix model, we obtain an intuitive understanding.
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