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Updated: May 12, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Harnessing quantum transport by transient chaos.
Rui Yang1, Liang Huang, Ying-Cheng Lai
1School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, Arizona 85287, USA.
Chaos (Woodbury, N.Y.)
|April 6, 2013
Summary
Transient chaos can effectively modulate quantum conductance fluctuations in nanostructures. Adjusting gate voltage alters chaos dynamics, enabling control over conductance patterns for potential applications in nanoscience.
Area of Science:
- Quantum mechanics
- Nanoscience
- Nonlinear dynamics
Background:
- Chaos theory offers control advantages through unstable orbits and sensitive dependence on initial conditions.
- Previous chaos control research primarily focused on classical nonlinear dynamical systems.
- Quantum transport in nanostructures exhibits conductance fluctuations, a key area of interest in nanoscience.
Purpose of the Study:
- To demonstrate that chaos, specifically transient chaos, can modulate quantum mechanical systems.
- To investigate the application of transient chaos in controlling conductance-fluctuation patterns in nanostructures.
- To explore the physical mechanisms underlying chaos-induced modulation of quantum transport.
Main Methods:
- Focusing on quantum transport through nanostructures with a specific emphasis on conductance fluctuations.
- Utilizing transient chaos to modulate conductance-fluctuation patterns.
- Experimentally applying external gate voltage to generate potential barriers in suitably designed devices.
- Developing a theoretical framework based on the spectrum of a generalized non-Hermitian Hamiltonian, incorporating self-energy terms for leads.
Main Results:
- Transient chaos effectively modulates conductance-fluctuation patterns in nanostructures.
- Adjusting gate voltage allows for controlled variation of transient chaos dynamics, inducing changes in quantum conductance patterns.
- Increased escape rates of chaotic sets lead to larger imaginary parts of complex eigenenergies, smoothing conductance fluctuations.
Conclusions:
- Chaos, particularly transient chaos, can be harnessed to control and modulate quantum systems like conductance in nanostructures.
- The proposed method offers a novel approach to manipulate quantum transport characteristics via external gate voltage.
- The theoretical model provides insight into the role of non-Hermitian Hamiltonians and eigenenergy spectra in understanding chaos-induced quantum phenomena.
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