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Generalized Linear Response Theory for the Full Quantum Work Statistics.

Giacomo Guarnieri1,2, Jens Eisert2, Harry J D Miller3

  • 1Department of Physics and INFN-Sezione di Pavia, <a href="https://ror.org/00s6t1f81">University of Pavia</a>, Via Bassi 6, 27100 Pavia, Italy.

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This summary is machine-generated.

Researchers derived a new formula for quantum work statistics using linear response theory (LRT). This method simplifies analyzing complex quantum systems and reveals quantum signatures in work fluctuations.

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Area of Science:

  • Quantum Thermodynamics
  • Non-equilibrium Quantum Systems
  • Statistical Mechanics

Background:

  • Understanding quantum systems driven out of equilibrium is crucial for quantum technologies.
  • Linear Response Theory (LRT) provides a framework for studying system responses to small perturbations.
  • Characterizing the statistics of dissipated work in driven quantum systems remains a challenge.

Purpose of the Study:

  • To derive a general expression for the full generating function of dissipated work in driven quantum systems.
  • To explore the connection between work statistics and the standard relaxation function within LRT.
  • To establish refined quantum thermodynamic constraints applicable to fast, perturbative driving protocols.

Main Methods:

  • Development of a theoretical framework based on Linear Response Theory (LRT).
  • Derivation of the full generating function for dissipated work.
  • Analysis of quantum signatures arising from zero-point energy fluctuations.

Main Results:

  • A novel expression for the work distribution's generating function was derived, fully characterized by the LRT relaxation function.
  • Refined quantum thermodynamic constraints on work statistics were established, valid for fast protocols without weak coupling assumptions.
  • A distinct quantum signature, an increased dispersion at short driving times due to zero-point energy, was identified.

Conclusions:

  • The study simplifies the analysis of non-equilibrium fluctuations in complex quantum systems by linking work statistics to LRT.
  • New theoretical constraints advance the understanding of quantum thermodynamics under general driving conditions.
  • The identified quantum signature offers a potential pathway for experimentally witnessing nonclassical effects in quantum thermodynamics.