Comparison between different markov approximations for open spin systems

M. Celio and D. Loss

Physica A: Statistical Mechanics and its Applications, 1989, vol. 158, issue 3, 769-783

Abstract: Various Markov approximations obtained from the Zwanzig-Nakajima and the memoryless master equations are investigated. In particular, considering a simple model (spin-12 in a magnetic field and coupled to a reservoir), we discuss the convergence behaviour and the positivity of these approximations. It is found that a well-known positivity preserving Markov generator, introduced in the rigorous study of the weak coupling limit, does not necessarily represent a good approximation for physically relevant times, especially if the system is nearly degenerate.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:158:y:1989:i:3:p:769-783

DOI: 10.1016/0378-4371(89)90490-1

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