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Optimizing Thermalization.

Kamil Korzekwa1, Matteo Lostaglio2,3

  • 1Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Kraków, Poland.

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|August 8, 2022
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Summary
This summary is machine-generated.

We developed an algorithm using continuous thermomajorization to find all possible energy states for quantum systems interacting with a heat bath. This method optimizes quantum thermodynamics, enabling efficient cooling and work extraction.

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Area of Science:

  • Quantum Thermodynamics
  • Statistical Mechanics
  • Quantum Information Theory

Background:

  • Understanding energy transformations in quantum systems is crucial for developing quantum technologies.
  • Characterizing accessible energy states under weak interactions is a fundamental challenge.

Purpose of the Study:

  • To develop a rigorous algorithmic approach for characterizing all accessible energy occupations of a quantum system.
  • To provide explicit control sequences for optimal thermodynamic transformations.
  • To assess the impact of memory effects on thermodynamic protocols.

Main Methods:

  • Utilizing the concept of continuous thermomajorization.
  • Developing an algorithm to map accessible energy occupations from an initial state.
  • Applying the algorithm to problems in quantum cooling, work extraction, and catalysis.

Main Results:

  • The algorithm successfully characterizes the full set of accessible energy occupations.
  • Optimal control sequences for thermodynamic transformations were explicitly derived.
  • Quantitative assessment of memory effects on protocol performance was achieved.
  • Exhaustive solutions were obtained for systems up to dimension 7 on a laptop.

Conclusions:

  • Continuous thermomajorization provides a powerful framework for quantum thermodynamics.
  • The developed algorithm offers a practical tool for optimizing quantum thermodynamic processes.
  • The approach is scalable to higher dimensions with heuristic extensions.