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Long Zhu1, Zongping Gong1, Biao Wu2,3,4,5

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We numerically study quantum work distributions in chaotic systems. Our findings suggest a correspondence principle between quantum and classical work, supporting the definition of quantum work using two-point energy measurements.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Chaos theory

Background:

  • The definition of quantum work is crucial for understanding energy exchange in quantum systems.
  • Previous work established a correspondence principle for work distributions in one-dimensional integrable systems.

Purpose of the Study:

  • To numerically investigate work distributions in chaotic systems.
  • To examine the relationship between quantum work and classical work.
  • To verify the correspondence principle between quantum and classical work in chaotic systems.

Main Methods:

  • Numerical simulations of work distributions in a chaotic system.
  • Analysis of the relationship between quantum and classical work distributions.
  • Validation of quantum work definition using two-point energy measurements.

Main Results:

  • Numerical results indicate a correspondence principle between quantum and classical work distributions in chaotic systems.
  • The study supports the definition of quantum work based on two-point energy measurements.
  • The findings extend the applicability of the correspondence principle to non-integrable chaotic systems.

Conclusions:

  • A correspondence principle exists between quantum and classical work distributions in chaotic systems.
  • The definition of quantum work via two-point energy measurements is further justified.
  • This research bridges quantum mechanics and classical statistical mechanics in the context of chaotic dynamics.