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Kinetic Uncertainty Relations for Quantum Transport.

Didrik Palmqvist1, Ludovico Tesser1, Janine Splettstoesser1

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This study introduces a kinetic uncertainty relation for quantum transport, establishing precision limits for generic currents based on particle-current noise. These bounds offer guidelines for high-precision transport processes in quantum systems.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Transport phenomena

Background:

  • Understanding the precision of charge and particle transport is crucial in quantum systems.
  • Generic currents in multiterminal setups present unique challenges for precision analysis.
  • Existing theories may not fully capture the fundamental limits of precision in quantum transport.

Purpose of the Study:

  • To analyze the precision of generic currents in multiterminal quantum-transport systems.
  • To establish a fundamental limit, a kinetic uncertainty relation, for quantum transport precision.
  • To provide guidelines for optimizing precision in quantum transport processes.

Main Methods:

  • Utilizing scattering theory to analyze quantum transport.
  • Quantifying current precision through particle-current noise measurements.
  • Deriving theoretical bounds applicable to both fermionic and bosonic systems.

Main Results:

  • The precision of generic currents is fundamentally limited by particle-current noise, analogous to classical activity.
  • A novel kinetic uncertainty relation for quantum transport has been established.
  • System-dependent precision bounds were derived for fermionic and bosonic systems in the full quantum limit.

Conclusions:

  • The derived kinetic uncertainty relation provides fundamental precision limits for quantum transport.
  • The findings offer practical guidelines for designing high-precision quantum transport devices.
  • This work bridges classical concepts of activity with quantum mechanical precision limits.