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Dynamical invariant formalism of shortcuts to adiabaticity.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciencesยท2022
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Updated: Aug 23, 2025

Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Counterdiabatic driving for periodically driven open quantum systems.

Kazutaka Takahashi1,2

  • 1Institute of Innovative Research, Tokyo Institute of Technology, Kanagawa 226-8503, Japan.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|November 6, 2022
PubMed
Summary
This summary is machine-generated.

We explored how correlations in driven quantum systems affect reaching steady states. Counterdiabatic driving can eliminate some correlations but may introduce others, hindering convergence to the desired Gibbs distribution.

Keywords:
counterdiabatic drivingperiodic drivingquantum master equation

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Area of Science:

  • Quantum physics
  • Open quantum systems
  • Quantum dynamics

Background:

  • Periodically driven open quantum systems evolve over time.
  • The quantum master equation describes this evolution.
  • The dissipator form ensures the instantaneous stationary state follows the Gibbs distribution.

Purpose of the Study:

  • Investigate correlations between population and coherence in driven quantum systems.
  • Analyze the role of adiabatic gauge potential in inducing these correlations.
  • Evaluate the effectiveness of counterdiabatic driving in controlling system dynamics.

Main Methods:

  • Utilized the quantum master equation to model time evolution.
  • Employed adiabatic gauge potential to study correlations.
  • Introduced counterdiabatic terms to mitigate induced correlations.

Main Results:

  • An adiabatic gauge potential induces correlations between population and coherence.
  • Counterdiabatic driving eliminates these specific correlations.
  • However, additional correlations emerge, preventing convergence to the Gibbs distribution.
  • System performance depends on the interplay of three distinct energy scales.

Conclusions:

  • Counterdiabatic driving is a potential control method for open quantum systems.
  • Its effectiveness is sensitive to the system's energy scales.
  • Further research is needed to optimize control strategies for achieving desired steady states.