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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.
Physical Review Letters
|July 12, 2024
Summary
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.
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.
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