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Quantum Work Statistics at Strong Reservoir Coupling.

Owen Diba1, Harry J D Miller1, Jake Iles-Smith1

  • 1Department of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom.

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Summary
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A new polaron transformation simplifies calculating work done on quantum systems strongly coupled to reservoirs. This method aligns with stochastic thermodynamics and reveals environmental coupling effects in driven systems.

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Area of Science:

  • Quantum thermodynamics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Calculating work statistics in quantum systems with strong reservoir coupling is complex.
  • Existing methods often require full system-reservoir eigenspectrum calculations.

Purpose of the Study:

  • To develop a method for circumventing complex calculations in quantum thermodynamics.
  • To study the effects of environmental coupling on driven quantum systems.

Main Methods:

  • Utilizing a polaron transformation to map the system to a weak-coupling frame.
  • Applying weak-coupling theory in the transformed frame.
  • Analyzing the Jarzynski fluctuation theorem for consistency.

Main Results:

  • The polaron approach successfully reproduces the Jarzynski fluctuation theorem.
  • Clear signatures of environmental coupling were identified in the work distribution of a Landau-Zener transition.
  • The method allows for analysis beyond Markovian and weak-coupling regimes.

Conclusions:

  • The polaron transformation offers a tractable approach to quantum thermodynamics of non-Markovian systems.
  • This formalism provides new insights into the role of environment-system coupling.
  • The method is applicable to driven quantum systems, including those near critical transitions.