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Dubertrand, Rémy ; Cesa, Alexandre ; Martin, John

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

Artikel

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

DOI zum Zitieren dieses Dokuments: 10.5283/epub.47079

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Zusammenfassung

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

DokumentenartArtikel
Titel eines Journals oder einer ZeitschriftPhysical Review A
VerlagAmerican Physical Society
Open Access ArtSHERPA/RoMEO
Ort der VeröffentlichungCOLLEGE PK
Band97
Nummer des Zeitschriftenheftes oder des Kapitels6
Seitenbereich062126
Datum26 Juni 2018
Veröffentlichungsdatum28 Jul 2021 17:13
InstitutionenPhysik > Institut für Theoretische Physik
Identifikationsnummer
WertTyp
10.1103/PhysRevA.97.062126DOI
Stichwörter / KeywordsMASTER-EQUATIONS; MODEL; SEPARABILITY; DECOHERENCE; METALS;
Dewey-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 530 Physik
StatusVeröffentlicht
BegutachtetJa, diese Version wurde begutachtet
An der Universität Regensburg entstandenJa
URN der UB Regensburgurn:nbn:de:bvb:355-epub-470792
Dokumenten-ID47079

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