Non-Markovian dynamics of a qubit

Sabrina Maniscalco and Francesco Petruccione

Phys. Rev. A 73, 012111 – Published 24 January 2006; Errata Phys. Rev. A 73, 029902 (2006); Phys. Rev. A 75, 059905 (2007)

Abstract

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 recently proposed post-Markovian master equation [A. Shabani and D. A. Lidar, Phys. Rev. A 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.

Received 30 September 2005
Publisher error corrected 26 January 2006

DOI:https://doi.org/10.1103/PhysRevA.73.012111

Corrections

26 January 2006

Errata

Publisher’s Note: Non-Markovian dynamics of a qubit [Phys. Rev. A 73, 012111 (2006)]

Sabrina Maniscalco and Franceso Petruccione

Phys. Rev. A 73, 029902 (2006)

Erratum: Non-Markovian dynamics of a qubit [Phys. Rev. A 73, 012111 (2006)]

Sabrina Maniscalco and Francesco Petruccione

Phys. Rev. A 75, 059905 (2007)

Authors & Affiliations

Sabrina Maniscalco^1,* and Francesco Petruccione^2,†

¹Department of Physics, University of Turku, FI-20014 Turku, Finland
²School of Physics, University of KwaZulu-Natal, Durban 4041, South Africa

^*Electronic address: sabrina.maniscalco@utu.fi
^†Electronic address: petruccione@ukzn.ac.za

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Issue

Vol. 73, Iss. 1 — January 2006

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