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No Thermalization without Correlations.

Dmitry V Zhdanov1, Denys I Bondar2, Tamar Seideman1

  • 1Northwestern University, Evanston, Illinois 60208, USA.

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|December 9, 2017
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Summary
This summary is machine-generated.

Markovian quantum master equations conflict with quantum thermodynamics unless system-bath correlations exist. Researchers propose a method to create bath models that approximate thermal states for better quantum thermodynamics understanding.

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Area of Science:

  • Quantum Physics
  • Quantum Thermodynamics
  • Statistical Mechanics

Background:

  • Markovian quantum master equations are commonly used to describe open quantum systems.
  • Conventional assumptions of fluctuation-dissipation theorems often imply translation invariant dissipation.
  • Reconciling these equations with quantum thermodynamics has been a long-standing challenge.

Purpose of the Study:

  • To prove that Markovian quantum master equations are incompatible with quantum thermodynamics under standard assumptions.
  • To identify the conditions necessary for thermalization in quantum systems.
  • To develop a method for constructing translation invariant bath models that yield approximate thermal states.

Main Methods:

  • Theoretical analysis of Markovian quantum master equations and fluctuation-dissipation theorems.
  • Identification of necessary conditions for thermalization, specifically persistent system-bath correlations.
  • Development of a systematic procedure for constructing translation invariant bath models.

Main Results:

  • Demonstration of the conflict between Markovian quantum master equations and quantum thermodynamics without system-bath correlations.
  • Proof that persistent spatial or temporal system-bath correlations are obligatory for thermalization, except for specific systems.
  • Successful construction of translation invariant bath models that produce steady states approximating thermal states.

Conclusions:

  • The study resolves a long-standing conjecture regarding quantum master equations and thermodynamics.
  • Persistent system-bath correlations are crucial for achieving thermalization in most quantum systems.
  • The proposed method and outlined quantum optical scheme provide a pathway for experimental validation and advancement in quantum thermodynamics.