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Information-driven current in a quantum Maxwell demon.

Sebastian Deffner1

  • 1Department of Chemistry and Biochemistry and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.

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|February 4, 2014
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Summary
This summary is machine-generated.

We present a quantum Maxwell demon model that uses Hamiltonian dynamics. Writing information to quantum memory creates a probability current, mimicking the classical demon and aiding quantum thermodynamics research.

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Area of Science:

  • Quantum thermodynamics
  • Quantum information science
  • Statistical mechanics

Background:

  • The Maxwell's demon thought experiment explores the relationship between information and thermodynamics.
  • Classical Maxwell's demon paradoxes are resolved by considering the information cost of erasing data.
  • Quantum effects on thermodynamics are an active area of research.

Purpose of the Study:

  • To introduce a minimal, exactly solvable model of a quantum Maxwell demon.
  • To analyze the steady-state behavior of this quantum demon model.
  • To investigate the thermodynamics of quantum information processing using a pedagogical paradigm.

Main Methods:

  • Development of a minimal quantum Maxwell demon model.
  • Application of Hamiltonian dynamics to the model.
  • Exact solution and steady-state analysis of the model.

Main Results:

  • The quantum Maxwell demon model was solved exactly.
  • Steady-state behavior was analyzed.
  • Writing information to a quantum memory was shown to induce a probability current, analogous to the classical demon's action.

Conclusions:

  • The proposed quantum Maxwell demon model provides a simple and pedagogical framework.
  • The model demonstrates how information processing in quantum systems relates to thermodynamics.
  • This work contributes to understanding the thermodynamics of quantum information.