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Quantum Kinetic Rates within the Nonequilibrium Steady State.

Loïc Joubert-Doriol1, Kenneth A Jung2, Artur F Izmaylov2

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This study presents a general quantum approach to define components and rates in nonequilibrium steady states (NESS) for quantum networks. It quantifies Markovian and non-Markovian contributions to understand quantum transport processes.

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Area of Science:

  • Quantum physics
  • Chemical kinetics
  • Statistical mechanics

Background:

  • Nonequilibrium steady states (NESS) are crucial in physical and biological systems like photosynthesis and photocells.
  • Understanding quantum transport in these states is vital for both natural processes and technological applications.
  • Assessing the timescales of chemical processes within NESS is a key challenge.

Purpose of the Study:

  • To develop a general quantum mechanical framework for defining components and process rates in NESS.
  • To explicitly incorporate quantum effects, including coherences, into the rate calculations.
  • To analyze the influence of system properties and environment on quantum transport rates.

Main Methods:

  • A general approach using projection operators to define network components in NESS.
  • Inclusion of quantum coherences in determining rates of processes between components.
  • Application of the methodology to V-level systems and the spin-boson model.

Main Results:

  • A comprehensive method for calculating rates in NESS for quantum networks.
  • Quantification of Markovian versus non-Markovian contributions to NESS rates.
  • Identification of conditions where NESS rates can be derived from perturbed steady states.

Conclusions:

  • The developed framework provides a robust tool for studying quantum transport in NESS.
  • The findings offer insights into the role of quantum effects and environmental interactions in determining process rates.
  • This work facilitates a deeper understanding of quantum dynamics in complex systems.