Reference : Analytical results for the non-Markovianity of quantum spin ensembles
Scientific congresses and symposiums : Unpublished conference/Abstract
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/222960
Analytical results for the non-Markovianity of quantum spin ensembles
English
Dubertrand, Rémy mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Cesa, Alexandre mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Martin, John mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Mar-2018
No
International
82te DPG-Frühjahrstagung
du 11 au 16 mars 2018
Deutsche Physikalische Gesellschaft e.V.
Berlin
Germany
[en] We study the non-Markovian character of spin ensembles. The ensemble is assumed to be isolated and a subset of spins is taken as the system, while the remaining part of the ensemble is taken as the environment. For a large class of interaction range, we derive analytical expressions for the non-Markovianity [1] following a recently introduced measure [2]. In particular, we investigate the thermodynamic limit and derive conditions to observe a Markovian dynamics or not. For a system of a single spin, it is explicitly shown that our results agree with the other known measures of non-Markovianity. We believe that our work can be used to investigate further the dynamics of fundamental models in condensed matter physics from the new perspective of (non-)Markovianity.
[1] R. Dubertrand, A. Cesa, J. Martin, to be submitted
[2] S. Lorenzo, F. Plastina, and M. Paternostro, Phys. Rev. A 88 (2013)
http://hdl.handle.net/2268/222960

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