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Generating particlelike scattering states in wave transport.
Stefan Rotter1, Philipp Ambichl, Florian Libisch
1Institute for Theoretical Physics, Vienna University of Technology, A-1040 Vienna, Austria, EU. stefan.rotter@tuwien.ac.at
Physical Review Letters
|April 27, 2011
Summary
Researchers developed a method to create trajectory-like wave functions in complex wave transport. This technique generates deterministic scattering states with specific properties, enabling potential applications in secure communication.
Area of Science:
- Wave physics
- Quantum mechanics
- Complex systems
Background:
- Wave transport through complex media often results in complex, non-intuitive wave function patterns.
- Understanding and controlling wave behavior in such systems is crucial for various applications.
Purpose of the Study:
- To introduce a novel procedure for generating specific scattering states.
- To create states exhibiting trajectory-like wave function patterns in complex scatterers.
Main Methods:
- The procedure relies solely on the scattering matrix of the system.
- It generates deterministic scattering states that are eigenstates of the Wigner-Smith time-delay matrix (Q) and the transmission matrix (t†t).
- Numerical simulations were performed for regular, chaotic, and disordered cavities.
Main Results:
- Successfully generated scattering states with trajectory-like wave function patterns.
- These states possess classical transmission eigenvalues close to 0 or 1.
- The method was numerically validated across different types of cavities.
Conclusions:
- The developed procedure offers a way to create beamlike states in wave transport.
- This opens possibilities for experimental realization of highly collimated wave fronts.
- Potential applications include secure and low-power communication.
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