Non-Markovianity of local dephasing channels and time-invariant discord
Abstract
We study non-Markovianity and information flow for qubits experiencing local dephasing with an Ohmic class spectrum. We demonstrate the existence of a temperature-dependent critical value of the Ohmicity parameter $s$ for the onset of non-Markovianity and give a physical interpretation of this phenomenon by linking it to the form of the reservoir spectrum. We demonstrate that this link holds also for more general spectra. We unveil a class of initial states for which discord is forever frozen at a positive value. We connect time-invariant discord to non-Markovianity and propose a physical system in which it could be observed.
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For s-parameters corresponding to the Markovian regime, the speed limit time can be written as τQSL = τD C(ρ0)^{1/2} qτ.
“By choosing the s-parameters which correspond to Markovian regime27, the speed limit time can be rewritten as τQSL = τDC(ρ0)1/2qτ.”
From Quantum speed limit for arbitrary initial states (2014) · cites this paper as [27]
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- Authors
- Haikka, P., Johnson, T. H., & Maniscalco, S.
- Affiliations
- University of Turku (FI)
- University of Oxford (GB)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2013-01-24
- Volume
- 87
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2320666705
- Cited by
- 172
- References
- 33
- Citations by year
- 2026: 4 · 2025: 14 · 2024: 4 · 2023: 8 · 2022: 9 · 2021: 10 · 2020: 9 · 2019: 12 · 2018: 14 · 2017: 28 · 2016: 17 · 2015: 18 · 2014: 16 · 2013: 9
- FWCI
- 22.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- Funders
- Engineering and Physical Sciences Research Council (EP/J016349/1)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- non-Markovianity, local dephasing, Ohmic bath, quantum discord, qubits, information flow, temperature dependence
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