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Fluctuation relation for qubit calorimetry.

Antti Kupiainen1, Paolo Muratore-Ginanneschi1, Jukka Pekola2

  • 1Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland.

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Summary
This summary is machine-generated.

We present a model for thermometry in open quantum systems. Our findings link qubit dynamics to calorimeter temperature changes, revealing entropy production and thermodynamic laws.

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Area of Science:

  • Quantum thermodynamics
  • Open quantum systems
  • Quantum information science

Background:

  • Thermometry in open quantum systems is crucial for understanding fundamental physics.
  • Developing accurate measurement techniques for quantum systems is an ongoing challenge.
  • The interaction between quantum systems and their environment influences their dynamics and thermodynamic properties.

Purpose of the Study:

  • To model thermometry measurements on an open quantum system.
  • To investigate the dynamics of a driven qubit interacting with a fermion environment.
  • To explore the thermodynamic implications, including entropy production and the laws of thermodynamics, in this quantum system.

Main Methods:

  • Development of a simplified model of an externally driven qubit.
  • Interaction of the qubit with a finite-sized fermion environment serving as a calorimeter.
  • Derivation of system dynamics using a stochastic Schrödinger equation.
  • Coupling the quantum dynamics to the temperature evolution of the calorimeter.

Main Results:

  • The study derives the dynamics governed by a stochastic Schrödinger equation.
  • A fluctuation relation for the system is proven.
  • A notion of entropy production is deduced from the fluctuation relation.
  • The first and second laws of thermodynamics are discussed in the context of the derived dynamics.

Conclusions:

  • The presented model provides a framework for understanding thermometry in open quantum systems.
  • The results demonstrate a connection between quantum dynamics and thermodynamic principles.
  • The work offers insights into entropy production and the applicability of thermodynamic laws at the quantum level.