Shortcuts to Adiabatic Pumping in Classical Stochastic Systems.

Area of Science:

• Quantum physics
• Thermodynamics
• Condensed matter physics

Background:

• Adiabatic pumping relies on geometric contributions to pumped charge, even without bias.
• Increased driving speed causes nonadiabatic excitations, reducing pumped charge and limiting frequencies.

Purpose of the Study:

• To extend shortcuts to adiabaticity for constructing a control protocol.
• To enable geometric pumping beyond the adiabatic regime and increase driving frequencies.

Main Methods:

• Developing a control protocol based on shortcuts to adiabaticity.
• Analyzing the geometric interpretation and thermodynamic cost of the protocol.
• Investigating robustness against control field fluctuations.

Main Results:

• Achieved an order of magnitude increase in driving frequencies.
• Demonstrated robustness against moderate fluctuations in the control field.
• Provided a geometric interpretation of the control protocol.

Conclusions:

• The developed protocol enables fast geometric pumping well beyond the adiabatic regime.
• Findings are realizable with current technology for quantum dots and other stochastic systems.
• Potential for fast charge or heat pumping in diverse physical, chemical, and biological systems.