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Researchers found new relations generalizing the Jarzynski equality by linking work fluctuations in driven systems to multifractal wavefunctions. These findings reveal universal features in non-equilibrium systems and Anderson localization.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Quantum Systems

Background:

  • Systems driven out of equilibrium exhibit significant fluctuations in dissipated work.
  • Disordered systems near the Anderson localization transition show similar fluctuations in wavefunction amplitudes.
  • Both phenomena are often described by the large-deviation ansatz.

Purpose of the Study:

  • To explore the analogy between work statistics in driven single-electron boxes and multifractal wavefunction amplitudes.
  • To uncover and generalize the Jarzynski equality by establishing new relations between these phenomena.
  • To understand universal features of work statistics in non-equilibrium systems and Anderson localization.

Main Methods:

  • Theoretical analysis using rate equations for sequential electron tunneling.
  • Experimental measurement of dissipated work in a driven single-electron box.
  • Comparison of theoretical predictions with experimental results.

Main Results:

  • New relations generalizing the Jarzynski equality were uncovered.
  • A remarkable correspondence was found between theoretical predictions and experimental measurements.
  • The study highlights a universal feature of work statistics in systems out of equilibrium.

Conclusions:

  • The established analogy provides a powerful framework for understanding non-equilibrium statistical mechanics.
  • The findings contribute to a deeper understanding of multifractal exponents in Anderson localization theory.
  • This work bridges concepts from driven quantum systems and disordered electronic systems.