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Quantum Collision Models: A Beginner Guide.

Stefano Cusumano1

  • 1International Centre for Theory of Quantum Technologies, University of Gdansk, 80-308 Gdańsk, Poland.

Entropy (Basel, Switzerland)
|September 23, 2022
PubMed
Summary

Quantum collision models offer a simple approach to open quantum systems. This tutorial details their use, deriving master equations and comparing derivation methods for practical applications.

Area of Science:

  • Quantum Physics
  • Open Quantum Systems

Background:

  • Quantum collision models, also known as repeated interaction models, are increasingly popular for their simplicity in open quantum systems.
  • They offer an accessible alternative to complex techniques often used in the field.

Purpose of the Study:

  • To provide a tutorial on utilizing quantum collision models.
  • To highlight the strengths and subtle technical aspects of these models.
  • To demonstrate their application in deriving master equations for open quantum systems.

Main Methods:

  • Derivation of the Markovian master equation using collision models.
  • Comparison of standard collisional derivation with standard microscopic derivation.
  • Application of collision models to derive master equations for two-level systems interacting with bosonic or fermionic baths.
Keywords:
collision modelmaster equationopen quantum systemstutorial

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Main Results:

  • The tutorial successfully demonstrates the derivation of Markovian master equations via quantum collision models.
  • A comparison between collisional and microscopic derivation methods is presented.
  • The practical utility of collision models is illustrated through examples involving two-level systems and different types of baths.

Conclusions:

  • Quantum collision models provide a valuable and simplified framework for understanding open quantum systems.
  • The tutorial clarifies common subtleties and showcases the practical derivation of master equations.
  • These models are effective for analyzing system-bath interactions in quantum mechanics.