Non-Markovian dynamics of a qubit

Details Non-Markovian dynamics of a qubit Non-Markovian dynamics of a qubit

2005-09-29

arxiv.org/abs/quant-ph/0509208v2

Phys. Rev. A 73,012111 (2006)

Physics

Quantum Physics

Replaced with published version (minor changes)

Scientific paper

10.1103/PhysRevA.73.012111

In this paper we investigate the non-Markovian dynamics of a qubit by comparing two generalized master equations with memory. In the case of a thermal bath, we derive the solution of the post-Markovian master equation recently proposed in Ref. [A. Shabani and D.A. Lidar, Phys. Rev. A {\bf 71}, 020101(R) (2005)] and we study the dynamics for an exponentially decaying memory kernel. We compare the solution of the post-Markovian master equation with the solution of the typical memory kernel master equation. Our results lead to a new physical interpretation of the reservoir correlation function and bring to light the limits of usability of master equations with memory for the system under consideration.

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