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We found that geometrical phases in open quantum systems create non-Gaussian fluctuations. This effect is amplified when energy bias between reservoirs is removed, impacting fluctuation relations.

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Area of Science:

  • Thermodynamics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Open quantum systems interact with their environment, leading to complex dynamics.
  • Fluctuation relations describe deviations from equilibrium thermodynamics.
  • Adiabatic modulation involves slow changes in system parameters.

Purpose of the Study:

  • To derive an extended fluctuation relation for open systems under adiabatic modulation.
  • To investigate the role of geometrical phases in generating non-Gaussian fluctuations.
  • To analyze the conditions enhancing non-Gaussianity.

Main Methods:

  • Derivation of an extended fluctuation relation.
  • Analysis of geometrical phase effects using Berry-Sinitsyn-Nemenman curvature.
  • Examination of adiabatic one-cycle modulation in a two-reservoir system.

Main Results:

  • A geometrical phase is identified as the source of non-Gaussian fluctuations.
  • The derived fluctuation relation accounts for these non-Gaussian effects.
  • Non-Gaussianity is significantly enhanced when reservoir bias vanishes.

Conclusions:

  • Geometrical phases are crucial for understanding non-Gaussian fluctuations in open systems.
  • The study provides a framework for analyzing fluctuation relations beyond Gaussian assumptions.
  • Understanding these phenomena is key for controlling quantum systems and information processing.