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- Title
Non-Markovian dynamics in a spin star system: the failure of thermalisation.
- Authors
Wang, Z.; Guo, Y.; Zhou, D.
- Abstract
In most cases, a small system weakly interacting with a thermal bath will eventually reach a thermal state with the temperature of the bath. We show that this intuitive picture is not always true, by using a spin star model where the non-Markov effect dominates the dynamical process. The spin star system consists of a central spin homogeneously interacting with an ensemble of identical noninteracting spins. We find that the correlation time of the bath is infinite, which implies that the bath has a perfect memory, and that the dynamical evolution of the central spin must be non-Markovian. A direct consequence of this is that the final state of the central spin is not the thermal state in equilibrium with the bath, but a steady state which depends on the initial state of the spin.
- Subjects
MARKOV processes; STARS; THERMAL neutrons; DYNAMICAL systems; NUCLEAR spin; TEMPERATURE effect; QUANTUM optics
- Publication
European Physical Journal D (EPJ D), 2013, Vol 67, Issue 11, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/e2013-40099-0