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Spin Isoenergetic Process and the Lindblad Equation.

Congjie Ou1, Yuho Yokoi2, Sumiyoshi Abe1,2,3,4

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Entropy (Basel, Switzerland)
|December 3, 2020
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Summary
This summary is machine-generated.

This study explores quantum thermodynamics, focusing on isoenergetic processes for spins in magnetic fields. Researchers derived key thermodynamic quantities like power output and work done, confirming positive entropy production.

Keywords:
Lindblad equationisoenergetic processquantum thermodynamics of spinweak invariants

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics

Background:

  • Various thermodynamic baths exist in quantum systems.
  • Weak invariants offer a method to analyze system dynamics.

Purpose of the Study:

  • To investigate isoenergetic processes for a spin in a time-varying magnetic field.
  • To construct Lindbladian operators for a Markovian approximation without detailed environment coupling information.
  • To analyze entropy production, power output, and work done in this system.

Main Methods:

  • Analysis of isoenergetic processes for a spin system.
  • Application of Markovian approximation to derive Lindbladian operators.
  • Calculation of entropy production rate using the Lindblad equation.
  • Derivation of leading-order expressions for power and work.

Main Results:

  • Lindbladian operators were constructed for the spin system.
  • The entropy production rate was found to be positive.
  • Leading-order expressions for power output and work done were obtained.

Conclusions:

  • The study provides insights into the thermodynamics of open quantum systems.
  • The derived expressions are valuable for understanding energy exchange in quantum systems.
  • The positive entropy production aligns with thermodynamic principles.