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This study explores the thermodynamic cost of counterdiabatic driving (CD) in classical systems. It reveals a universal trade-off between speed and cost, mirroring quantum findings for adiabatic shortcuts.

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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Classical Mechanics

Background:

  • Growing interest in the thermodynamic cost of shortcuts to adiabaticity.
  • Need for understanding driving costs in classical systems.

Purpose of the Study:

  • Define and analyze the thermodynamic cost of counterdiabatic driving (CD) in classical systems.
  • Extend existing frameworks for driving Hamiltonian systems.
  • Investigate the relationship between speed and cost in CD.

Main Methods:

  • Review general definitions of thermodynamic cost for Hamiltonian systems.
  • Propose a complementary cost definition for vanishing average excess work.
  • Apply the framework to counterdiabatic driving (CD).

Main Results:

  • Established a general framework for the thermodynamic cost of driving classical systems.
  • Found classical counterparts to quantum results on shortcuts to adiabaticity.
  • Demonstrated a universal trade-off between speed and cost for CD.

Conclusions:

  • The study provides a comprehensive analysis of thermodynamic costs in classical CD.
  • Results align with and extend quantum mechanical findings.
  • Illustrates the speed-cost trade-off using a harmonic oscillator model.