4.6 Article

Markovian and non-Markovian dynamics of quantum coherence in the extended XX chain

Journal

PHYSICAL REVIEW A
Volume 106, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.106.032220

Keywords

-

Funding

  1. National Natural Sci- ence Foundation of China
  2. Doctoral Research Start- up Foundation of Harbin Normal University
  3. Fundamental Research Funds for the Universities of Heilongjiang Province of China
  4. [61575055]
  5. [11874132]
  6. [11675046]
  7. [XKB202112]
  8. [2021-KYYWF-0188]

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The Markovian and non-Markovian dynamics of quantum coherence are investigated in the XX spin chain with three-spin interaction. It is found that the single-spin and localized coherence increase with time. The three-spin interaction can lower the values of quantum coherence in Markovian evolution and heighten the oscillation frequency of quantum coherence in non-Markovian evolution.
The Markovian and non-Markovian dynamics of quantum coherence, including single-spin coherence, two -spin coherence, and its distribution (collective and localized coherence), are investigated in the XX spin chain with three-spin interaction. We find that the single-spin and localized coherence do not decrease but increase with time, which makes the dynamic evolution of the two-spin coherence more robust than entanglement and quantum discord. The three-spin interaction can lower the values of quantum coherence in Markovian evolution and heighten the oscillation frequency of quantum coherence in non-Markovian evolution because it can speed up the flow of coherence information. Finally, the trade-off relation between the collective and the localized coherence is clearly shown in their dynamic evolution. Thanks to the coherence trade-off, we find the substitution of localized coherence for collective coherence in dominating the dynamics of the two-spin coherence.

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