Adiabatic pumping in a superconductor-normal-superconductor weak link

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics

Background:

• Superconductor-normal-superconductor (SNS) junctions are key in quantum electronics.
• Understanding charge transport in these systems is crucial for device applications.

Purpose of the Study:

• To develop a theoretical framework for adiabatic pumping in SNS weak links.
• To investigate the relationship between pumped charge and Berry phase at zero temperature.

Main Methods:

• Formalism for studying adiabatic pumping through SNS weak links.
• Analysis of Andreev bound states and their accumulated Berry phase.
• Detailed examination of short normal region cases.

Main Results:

• Pumped charge is directly related to the Berry phase accumulated by Andreev bound states.
• The pumped charge is an even function of the superconducting phase difference.
• This even function property allows differentiation from standard Josephson effects.

Conclusions:

• The proposed formalism provides a new way to study adiabatic pumping in SNS junctions.
• The distinct nature of the pumped charge offers potential for novel electronic devices.
• Experimental verification of the even function dependence could confirm theoretical predictions.