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Statistical theory of designed quantum transport across disordered networks
Mattia Walschaers1,2, Roberto Mulet1,3, Thomas Wellens1
1Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany.
Summary
Centrosymmetry and specific energy states ensure efficient quantum excitation transport in random networks. This study develops a framework to predict transport properties, validated by simulations.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information science
Background:
- Quantum excitation transport is crucial for quantum technologies.
- Understanding transport in complex, disordered systems is challenging.
- Chaos-assisted tunneling provides a mechanism for enhanced transport.
Purpose of the Study:
- To explain how centrosymmetry and specific energy states enhance quantum excitation transport.
- To develop a theoretical framework for predicting transport properties in random networks.
- To analyze the scaling of transport with network size.
Main Methods:
- Generalization of the chaos-assisted tunneling mechanism.
- Formulation of a random matrix theory framework.
- Numerical simulations using Hamiltonians from the Gaussian orthogonal ensemble.
Main Results:
- Centrosymmetry and a dominant doublet of energy eigenstates guarantee interference-assisted, coherent quantum transport.
- Analytical predictions for transfer time distribution and efficiency lower bounds were formulated.
- Predictions show good agreement with numerical simulations.
Conclusions:
- The developed framework accurately predicts quantum transport in random networks.
- Centrosymmetry is a key factor for efficient and coherent quantum excitation transport.
- The findings have implications for designing quantum systems and networks.
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