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Updated: Dec 23, 2025
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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Coherent transport through a resonant level coupled to random-matrix leads
1Department of Physics, Zhejiang Normal University, Jinhua 321004, People's Republic of China.
Summary
This study investigates electron transport in quantum systems using random matrix theory. A new statistical formula accurately predicts stationary current, explaining the voltage-dependent behavior observed in experiments.
Area of Science:
- Quantum Transport Phenomena
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Understanding charge transport in mesoscopic systems is crucial.
- Random matrix theory provides a framework for complex quantum systems.
- Previous models like the Anderson model offer insights into transport properties.
Purpose of the Study:
- To investigate charge transport through a resonant level coupled to random matrix leads.
- To derive and validate a statistical formula for stationary current.
- To explain the characteristic current-voltage (I-V) curve behavior.
Main Methods:
- Utilizing Wigner's random matrices to model the leads.
- Applying thermodynamic and long-time limits for analysis.
- Employing the eigenstate thermalization hypothesis (ETH) and nonequilibrium steady state hypothesis (NESSH).
Main Results:
- Obtained the stationary current as a function of voltage bias.
- The I-V curve exhibits similarity to the single impurity Anderson model.
- A derived statistical formula based on ETH and NESSH accurately predicts the stationary current.
Conclusions:
- The study successfully models quantum transport using random matrix theory.
- The derived statistical formula offers high precision in predicting current.
- The characteristic function of NESSH explains the I-V curve shape, linking to transmission coefficients.
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