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Large Deviation Full Counting Statistics in Adiabatic Open Quantum Dynamics.

Paulo J Paulino1, Igor Lesanovsky1,2, Federico Carollo1

  • 1Institut für Theoretische Physik, <a href="https://ror.org/03a1kwz48">Eberhard Karls Universität Tübingen</a>, Auf der Morgenstelle 14, 72076 Tübingen, Germany.

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This study introduces a new method to control fluctuations in adiabatic open quantum dynamics. By using large deviation theory, researchers can now analyze and engineer rare events in quantum systems.

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Area of Science:

  • Quantum Mechanics
  • Statistical Physics

Background:

  • Open quantum systems evolve by following instantaneous stationary states during adiabatic processes.
  • Characterizing average dynamics is possible, but understanding fluctuations of dynamical observables requires controlling the generator's full spectrum.

Purpose of the Study:

  • To develop a method for obtaining information about fluctuations in adiabatic open quantum dynamics.
  • To encode the full counting statistics of time-integrated dynamical observables in a biased quantum state.

Main Methods:

  • Exploiting tools from large deviation theory.
  • Proving an adiabatic theorem for deformed generators.
  • Computing probabilities for rare time histories of observables.

Main Results:

  • A method to encode full counting statistics of dynamical observables in adiabatic open quantum systems.
  • Derivation of dynamics that realize specific rare time histories.
  • Demonstration of control over fluctuations in quantum dynamics.

Conclusions:

  • The developed approach allows for characterization and engineering of adiabatic open quantum dynamics.
  • This work provides a framework for controlling fluctuations in quantum systems.
  • Enables deeper understanding of quantum dynamics beyond average behavior.