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Rate Operator Unraveling for Open Quantum System Dynamics.

Andrea Smirne1,2, Matteo Caiaffa3, Jyrki Piilo4,5

  • 1Dipartimento di Fisica "Aldo Pontremoli," Università degli Studi di Milano, and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, I-20133 Milan, Italy.

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We introduce the rate operator quantum jump (ROQJ) approach, a unified framework for open quantum system dynamics. This method accurately describes both Markovian and non-Markovian evolutions, offering new insights into quantum measurements and memory effects.

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Area of Science:

  • Quantum Mechanics
  • Quantum Information Science
  • Theoretical Physics

Background:

  • Stochastic methods with quantum jumps are crucial for simulating open quantum systems.
  • Existing methods lack a unified framework for all dynamic regimes and master equations.
  • Understanding quantum measurements and non-Markovian memory effects remains a challenge.

Purpose of the Study:

  • To develop a unified framework for quantum jump methods applicable to all open quantum system dynamics.
  • To provide a rigorous interpretation of quantum measurements within stochastic unraveling.
  • To investigate memory effects in both Markovian and non-Markovian regimes.

Main Methods:

  • Development of the rate operator quantum jump (ROQJ) approach.
  • Application of ROQJ to unravel various master equations, including those with negative decay rates.
  • Analysis of the measurement scheme interpretation and memory effects within the ROQJ framework.

Main Results:

  • The ROQJ approach successfully unifies Markovian and non-Markovian dynamics.
  • ROQJ provides a rigorous measurement interpretation for a broad class of quantum dynamics.
  • The method handles master equations intractable for previous quantum jump techniques.
  • New insights into different types of memory effects in stochastic quantum jump methods are revealed.

Conclusions:

  • The ROQJ approach offers a universal and rigorous framework for open quantum system dynamics.
  • This method enhances our understanding of quantum measurements and non-Markovian memory effects.
  • ROQJ expands the applicability of quantum jump methods to previously inaccessible regimes.