Entropic uncertainty relation in a two-qutrit system with external magnetic field and Dzyaloshinskii–Moriya interaction under intrinsic decoherence

  • You-neng Guo
  • Mao-fa Fang
  • Ke Zeng


In this paper, we explore the dynamic behaviors of entropic uncertainty relation in a two-qutrit system which is in the presence of external magnetic field and Dzyaloshinskii–Moriya (DM) interaction under intrinsic decoherence. The effects of the isotropic bilinear interaction, the external magnetic field, the DM interaction strength, as well as the intrinsic decoherence on the entropic uncertainty relation have been demonstrated in detail. Compared with previous results, our results show that, controlling the isotropic bilinear interaction parameter J, the external magnetic field strength \(B_{0}\), the DM interaction parameter D can result in inflation of the uncertainty, while increasing the intrinsic decoherence parameter can lift the uncertainty of the measurement. In particularly, under certain conditions (e.g., parameters J, \(B_{0}\) and D are large enough), the entropic uncertainty will ultimately tend to a stable value and be immune to decoherence.


Entropic uncertainty relation Dzyaloshinskii-Moriya interaction Intrinsic decoherence 



This work is supported by the National Natural Science Foundation of China (Grant Nos. 11747107 and 11374096), the Natural Science Foundation of Hunan Province (Grant No. 2017JJ3346), the Scientific Research Project of Hunan Province Department of Education (Grant No. 16C0134), the Project of Science and Technology Plan of Changsha (K1705022) and the Start-up Funds for Talent Introduction and Scientific Research of Changsha University 2015 (Grant No. SF1504).


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Authors and Affiliations

  1. 1.Department of Electronic and Communication EngineeringChangsha UniversityChangshaPeople’s Republic of China
  2. 2.Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of PhysicsHunan Normal UniversityChangshaPeople’s Republic of China

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