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Dubertrand, Rémy ; Cesa, Alexandre ; Martin, John

Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics

Article

Dubertrand, Rémy , Cesa, Alexandre and Martin, John (2018) Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics. Physical Review A 97 (6), 062126.

DOI to cite this document: 10.5283/epub.47079

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Abstract

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with pairwise interactions. We derive exact formulas for the reduced dynamics of the system and for its non-Markovianity as assessed by the witness of Lorenzo et al. ...

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with pairwise interactions. We derive exact formulas for the reduced dynamics of the system and for its non-Markovianity as assessed by the witness of Lorenzo et al. [Phys.Rev. A 88, 020102(R) (2013)]. The non-Markovianity is further investigated in the thermodynamic limit when the environment's size goes to infinity. In this limit and for finite-size systems, we find that the Markovian character of the system's dynamics crucially depends on the range of the interactions. We also show that when the system and its environment are initially in a product state, the appearance of non-Markovianity is independent of the entanglement generation between the system and its environment.



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Details

Item typeArticle
Journal or Publication TitlePhysical Review A
PublisherAmerican Physical Society
Open Access TypeDue to SHERPA/RoMEO
Place of PublicationCOLLEGE PK
Volume97
Number of Issue or Book Chapter6
Page Range062126
Date26 June 2018
Date of publication28 Jul 2021 17:13
InstitutionsPhysics > Institute of Theroretical Physics
Identification Number
ValueType
10.1103/PhysRevA.97.062126DOI
KeywordsMASTER-EQUATIONS; MODEL; SEPARABILITY; DECOHERENCE; METALS;
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgYes
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-470792
Item ID47079

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