Quasibound states in a triple Gaussian potential

Physical Review. E
L E Reichl, Max D Porter

Abstract

We derive the transmission probabilities and delay times, and identify quasibound state structures in an open quantum system consisting of three Gaussian potential energy peaks, a system whose classical scattering dynamics we show to be chaotic. Such open quantum systems can serve as models for nanoscale quantum devices and their wave dynamics are similar to electromagnetic wave dynamics in optical microcavities. We use a quantum web to determine energy regimes for which the system exhibits the quantum manifestations of chaos, and we show that the classical scattering dynamics contains a significant amount of chaos. We also derive an exact expression for the non-Hermitian Hamiltonian whose eigenvalues give quasibound state energies and lifetimes of the system.

References

Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G Akguc, L E Reichl
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S Ree, L E Reichl
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G B Akguc, L E Reichl
Sep 28, 2010·Physical Review Letters·Q H SongG S Solomon
Jan 22, 2015·Proceedings of the National Academy of Sciences of the United States of America·Brandon ReddingHui Cao
Feb 13, 2016·Physical Review. E·Max D Porter, L E Reichl
Jun 18, 2017·Physical Review. E·Max D PorterL E Reichl
Nov 3, 2017·Chaos·Aaron BarrLinda E Reichl

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