Crossover from adiabatic to antiadiabatic quantum pumping with dissipation

Area of Science:

• Quantum mechanics
• Condensed matter physics
• Nanotechnology

Background:

• Quantum pumping is a key phenomenon studied across diverse scientific fields.
• Understanding its behavior in different regimes, particularly with dissipation, is crucial for technological applications.

Purpose of the Study:

• To investigate the crossover of quantum pumping from adiabatic to anti-adiabatic regimes.
• To derive analytical expressions for pumped current in a minimal ring model with periodic modulation and dissipation.
• To characterize the impact of frequency and temperature on pumped current.

Main Methods:

• Developed a minimal model of a ring system subjected to periodic modulation.
• Analyzed the system's behavior across adiabatic and anti-adiabatic regimes in the presence of dissipation.
• Derived general and explicit analytical expressions for the direct current (dc) pumped by the system.

Main Results:

• Obtained transparent analytical solutions for pumped dc current across a wide range of modulation frequencies (ω).
• Identified a temperature-dependent optimal frequency that maximizes the pumped current.
• Characterized the transition of quantum pumping behavior as frequency varies relative to the system's energy splitting.

Conclusions:

• The study provides a comprehensive analytical framework for understanding quantum pumping dynamics.
• The findings highlight the existence of an optimal operating frequency, influenced by temperature, for maximizing quantum current.
• This work offers valuable insights for designing quantum devices and controlling charge transport in nanoscale systems.