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Quantum transport under oscillatory drive with disordered amplitude
Vatsana Tiwari1, Sushanta Dattagupta2, Devendra Singh Bhakuni3
1Department of Physics, Indian Institute of Science Education and Research, Bhopal 462066, India.
Summary
We studied quantum transport in a disordered electric field. Increasing field strength suppresses transport, leading to particle localization, unlike the clean limit
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Disordered systems
Background:
- Non-interacting particles in a 1D tight-binding chain are fundamental models.
- Quantum transport phenomena are crucial for understanding material properties.
- Electric fields can significantly alter particle dynamics.
Purpose of the Study:
- To investigate quantum transport in a 1D tight-binding chain with a random electric field.
- To analyze the effects of static and time-dependent disordered electric fields on particle dynamics.
- To derive exact expressions for key transport quantities.
Main Methods:
- Derivation of exact expressions for probability propagator and mean-squared displacement.
- Application of the Liouville operator method for disordered systems.
- Analysis of particle dynamics under static and time-dependent random electric fields.
Main Results:
- In a static random field, transport is initially diffusive but localizes with increasing field strength.
- Time-dependent disordered fields cause deviations from ballistic transport as field strength increases.
- The clean limit exhibits ballistic transport, contrasting with disordered cases.
Conclusions:
- Disordered electric fields fundamentally alter quantum transport in 1D systems.
- Field strength is a critical parameter controlling the transition from diffusive to localized transport.
- The study provides insights into controlling quantum transport through engineered disorder.
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