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We established a universal thermodynamic uncertainty relation for fermionic coherent transport, linking entropy production to particle current. This finding has implications for the efficiency of quantum thermoelectric devices.

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Area of Science:

  • Thermodynamics
  • Quantum Transport
  • Statistical Mechanics

Background:

  • Understanding entropy production is crucial in non-equilibrium thermodynamics.
  • Fermionic systems exhibit unique quantum transport phenomena.

Purpose of the Study:

  • To derive a universal thermodynamic uncertainty relation for fermionic coherent transport.
  • To explore trade-off relations for quantum thermoelectric devices.

Main Methods:

  • Derivation of a universal bound for entropy production.
  • Analysis of particle current mean and fluctuations.
  • Application to quantum dot models.

Main Results:

  • A universal thermodynamic uncertainty relation for fermionic coherent transport is derived.
  • The bound applies to various geometries and biases without magnetic fields.
  • Trade-off relations for thermoelectric engines and refrigerators are established.

Conclusions:

  • The derived uncertainty relation provides fundamental insights into quantum transport.
  • Ideal efficiency in quantum thermoelectric devices is limited by power or its fluctuations.