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Silicon Metal-oxide-semiconductor Quantum Dots for Single-electron Pumping
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Minimal universal quantum heat machine.

D Gelbwaser-Klimovsky1, R Alicki, G Kurizki

  • 1Weizmann Institute of Science, 76100 Rehovot, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 16, 2013
PubMed
Summary
This summary is machine-generated.

We introduce a minimal quantum heat machine model that functions as an engine or refrigerator. It achieves Carnot efficiency at zero power, with optimal finite-time performance explored.

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Area of Science:

  • Quantum Thermodynamics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • The Carnot cycle defines the theoretical limit for heat engine and refrigerator performance in classical thermodynamics.
  • Quantum systems offer new possibilities for thermodynamic processes, but require analogous theoretical frameworks.

Purpose of the Study:

  • To propose and analyze a minimal quantum heat machine model analogous to the Carnot cycle.
  • To investigate its performance as both a heat engine and a refrigerator.
  • To explore conditions for optimal finite-time operation.

Main Methods:

  • A minimal model comprising a single two-level system with modulated energy splitting.
  • Coupling the system to two heat baths at different temperatures.
  • Solving the equation of motion to calculate stationary power and heat currents.

Main Results:

  • The model operates as a dual-purpose heat engine or refrigerator based on modulation rate.
  • Maximum Carnot efficiency is achieved in both modes, but at zero power.
  • Conditions for optimal finite-time performance were investigated for model variants.

Conclusions:

  • This minimal quantum heat machine serves as a quantum analogue to the Carnot cycle.
  • It demonstrates the feasibility of quantum heat machines operating under thermodynamic laws.
  • The study provides insights into achieving optimal performance in finite time.