Full counting statistics in strongly interacting systems: non-Markovian effects.

Area of Science:

• Condensed Matter Physics
• Quantum Transport Phenomena

Background:

• Electron transport in nanostructures is crucial for quantum technologies.
• Understanding non-Markovian dynamics is essential for accurate modeling of quantum systems.
• Full counting statistics provides detailed information about charge transport.

Purpose of the Study:

• To develop a theoretical framework for full counting statistics in interacting electron systems with non-Markovian dynamics.
• To analyze the impact of non-Markovian effects on electron transport properties.
• To identify conditions under which non-Markovian effects become significant.

Main Methods:

• Development of a theoretical approach for full counting statistics.
• Application of the theory to a single-level quantum dot model.
• Application of the theory to a metallic single-electron transistor model.
• Analysis to second order in tunnel coupling.

Main Results:

• The theory successfully describes full counting statistics for non-Markovian electron transport.
• Non-Markovian effects can alter the transport properties of quantum dots and single-electron transistors.
• Specific conditions for the emergence of non-Markovian effects in transport are discussed.

Conclusions:

• The presented theory offers a new tool for studying quantum transport with memory.
• Non-Markovian dynamics play a critical role in the behavior of nanoscale electronic devices.
• Further investigation into non-Markovian transport is warranted for advancing quantum electronics.