Probing the degree of non-Markovianity for independent and common environments
Open accessAbstract
We study the non-Markovianity of the dynamics of open quantum systems, focusing on the cases of independent and common environmental interactions. We investigate the degree of non-Markovianity quantified by two distinct measures proposed by Luo, Fu, and Song and Breuer, Laine, and Pillo. We show that the amount of non-Markovianity, for a single qubit and a pair of qubits, depends on the quantum process, the proposed measure, and whether the environmental interaction is collective or independent. In particular, we demonstrate that while the degree of non-Markovianity generally increases with the number of qubits in the system for independent environments, the same behavior is not always observed for common environments. In the latter case, our analysis suggests that the amount of non-Markovianity could increase or decrease depending on the properties of the considered quantum process.
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The spin-boson-type qubit-environment model admits an exact solution.
“It is worth stressing that this qubit-environment model admits an exact solution2324.”
From Quantum speed limit for arbitrary initial states (2014) · cites this paper as [24]
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- Authors
- Fanchini, F. F., Karpat, G., Castelano, L. K., & Rossatto, D. Z.
- Affiliations
- Universidade Estadual Paulista (Unesp) (BR)
- Sabancı Üniversitesi (TR)
- Universidade Federal de São Carlos (BR)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-07-08
- Volume
- 88
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2023422272
- Cited by
- 52
- References
- 25
- Citations by year
- 2024: 2 · 2023: 3 · 2022: 2 · 2021: 4 · 2020: 1 · 2019: 5 · 2018: 2 · 2017: 8 · 2016: 6 · 2015: 8 · 2014: 11
- FWCI
- 4.29
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Acervo Digital da Universidade Estadual Paulista (Universidade Estadual Paulista) (submittedVersion)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Türkiye Bilimsel ve Teknolojik Araştırma Kurumu (111T232)
- Instituto Nacional de Ciência e Tecnologia de Informação Quântica
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovianity, open quantum systems, shared environment, qubit dynamics
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