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Approaches to Non-Markovian Quantum Open Systems: From Quantum Trajectories to Master Equations

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In this tutorial, I will review some recent progresses in non-Markovian dynamics of quantum open systems. I will be focused with non-Markovian quantum trajectories and non-Markovian master equation approaches. In particular, I will show how to derive an exact non-Markovian master equation from the corresponding quantum trajectories. I will also show how to use quantum trajectories to derive the well-known Kraus operators for pure dephasing noise. The applications of quantum trajectories to quantum information and decoherence will be briefly reviewed.
Title: Approaches to Non-Markovian Quantum Open Systems: From Quantum Trajectories to Master Equations
Description:
In this tutorial, I will review some recent progresses in non-Markovian dynamics of quantum open systems.
I will be focused with non-Markovian quantum trajectories and non-Markovian master equation approaches.
In particular, I will show how to derive an exact non-Markovian master equation from the corresponding quantum trajectories.
I will also show how to use quantum trajectories to derive the well-known Kraus operators for pure dephasing noise.
The applications of quantum trajectories to quantum information and decoherence will be briefly reviewed.

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