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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
This is the latest version of this item.
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 type | Article | ||||
| Journal or Publication Title | Physical Review A | ||||
| Publisher | American Physical Society | ||||
| Open Access Type | Due to SHERPA/RoMEO | ||||
| Place of Publication | COLLEGE PK | ||||
| Volume | 97 | ||||
| Number of Issue or Book Chapter | 6 | ||||
| Page Range | 062126 | ||||
| Date | 26 June 2018 | ||||
| Date of publication | 28 Jul 2021 17:13 | ||||
| Institutions | Physics > Institute of Theroretical Physics | ||||
| Identification Number |
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| Keywords | MASTER-EQUATIONS; MODEL; SEPARABILITY; DECOHERENCE; METALS; | ||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-470792 | ||||
| Item ID | 47079 |
Available versions of this item
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Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics. (Deposited on 25 Apr 2018 09:57)
- Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics. (Deposited on 28 Jul 2021 17:13) [Currently displayed]
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