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Coordinate Mapping of Hyolaryngeal Mechanics in Swallowing
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Pushing the limits of the reaction-coordinate mapping.

Luis A Correa1, Buqing Xu2, Benjamin Morris2

  • 1CEMPS, Physics and Astronomy, University of Exeter, Exeter EX4 4QL, United Kingdom.

The Journal of Chemical Physics
|September 8, 2019
PubMed
Summary

The reaction-coordinate mapping accurately predicts quantum system steady states even with strong environmental coupling. However, it may overestimate heat current, highlighting limitations in strong-coupling quantum thermodynamics.

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Area of Science:

  • Quantum mechanics
  • Thermodynamics
  • Condensed matter physics

Background:

  • Reaction-coordinate mapping simplifies complex quantum systems by augmenting them with a collective environmental coordinate.
  • This technique typically relies on weak residual coupling to a simpler reservoir.
  • Its applicability in strong-coupling regimes remains largely unexplored.

Purpose of the Study:

  • Investigate the validity of reaction-coordinate mapping under strong residual dissipation.
  • Analyze its accuracy for heat transport in a quantum system.
  • Identify potential limitations and crucial observations for strong-coupling quantum thermodynamics.

Main Methods:

  • Developed an exactly solvable model for heat transport in a two-node quantum wire connecting two baths.
  • Applied reaction-coordinate mapping with a structured spectral density at the interface.
  • Derived a perturbative master equation for the augmented system under strong residual dissipation.

Main Results:

  • Accurate prediction of the original problem's stationary state using weak-coupling treatment, even with very strong residual dissipation.
  • Sustained agreement throughout the dynamics in the overdamped regime under large residual dissipation.
  • Gross overestimation of stationary heat current by the master equation, despite faithful capture of the nonequilibrium steady state.

Conclusions:

  • Reaction-coordinate mapping can accurately capture steady states in strong-coupling regimes.
  • The method may fail to accurately predict transport properties like heat current.
  • Findings are crucial for studying the strong-coupling regime in quantum thermodynamics.