Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Non-Markovian dynamics of a qubit

Journal Article · · Physical Review. A
DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20786643
 [1];  [2]
  1. Department of Physics, University of Turku, FI-20014 Turku (Finland)
  2. School of Physics, University of KwaZulu-Natal, Durban 4041 (South Africa)

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.

OSTI ID:
20786643
Journal Information:
Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 73; ISSN 1050-2947; ISSN PLRAAN
Country of Publication:
United States
Language:
English

Similar Records

Non-Markovian dynamics of a qubit coupled to an Ising spin bath
Journal Article · Wed Nov 14 23:00:00 EST 2007 · Physical Review. A · OSTI ID:21027961

Complete positivity of a spin-1/2 master equation with memory
Journal Article · Fri Jun 15 00:00:00 EDT 2007 · Physical Review. A · OSTI ID:20991067

Phenomenological memory-kernel master equations and time-dependent Markovian processes
Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:21407902