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Quasibound states in a triple Gaussian potential.
1Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA.
Physical Review. E
|May 16, 2018
Summary
This study explores chaotic dynamics in open quantum systems, revealing quasibound states and their properties. These findings are crucial for understanding nanoscale quantum devices and wave dynamics.
Area of Science:
- Quantum mechanics
- Chaos theory
- Condensed matter physics
Background:
- Open quantum systems serve as models for nanoscale quantum devices.
- Wave dynamics in these systems resemble electromagnetic wave dynamics in optical microcavities.
- Classical scattering dynamics in such systems can exhibit chaotic behavior.
Purpose of the Study:
- To derive transmission probabilities and delay times in a three-Gaussian potential system.
- To identify quasibound state structures within this open quantum system.
- To determine energy regimes exhibiting quantum manifestations of chaos.
Main Methods:
- Utilizing a quantum web approach to analyze energy regimes.
- Deriving an exact expression for the non-Hermitian Hamiltonian.
- Analyzing classical scattering dynamics for chaotic characteristics.
Main Results:
- Transmission probabilities and delay times were successfully derived.
- Quasibound state structures were identified.
- Significant classical chaos was confirmed in the scattering dynamics.
- Energy regimes for quantum chaos manifestations were determined.
Conclusions:
- The study successfully characterized quasibound states and chaotic dynamics in an open quantum system.
- The derived non-Hermitian Hamiltonian provides insights into system energies and lifetimes.
- Findings contribute to the understanding of quantum chaos and its relevance to quantum devices.
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