Journal of Quantum Optics, Volume. 28, Issue 3, 247(2022)

Structural Design and Exact Dynamics of a Central Spin Model with Completely Recovered Coherence

LI Jia-xiu1,2、*
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    The central spin inevitably interacts with the surrounding nuclear spin, resulting in decoherence, which has long been one of the severe challenges in quantum information and quantum computing. In this work, we have made some progress in this area. We propose a structure that preserves the coherence of the central spin perfectly for a long time, which consists of a spin-1/2 central spin coupled by XXZ hyperfine interaction to a spin chain interacting nonuniformly. When the central spin is in a superposition state, the bath spin is in an antiferromagnetic state as the initial state, and the coupling in the bath is strong, the central spin can approximately maintain the original coherence, and the hyperfine coupling in the xy direction is further removed, which can perfectly maintain the coherence. Using the central spin as a qubit, this structure can be applied to quantum computing, and it may realize lossless quantum computing. We use the bath spin to simulate the environment, apply the equation of motion method based on the analytical representation of the spin operator matrix element in the XX chain, and systematically study the effect of the environment on the decoherence dynamics of the central spin, focusing on the dynamics characteristics of the central spin decoherence factors under the influence of the non-uniform coupling between bath spins. In the process of controlling the non-uniform coupling between the bath spins from the minimum to the maximum, the coherent dynamics of the central spin roughly present six stages, showing rich quantum dynamic properties, and providing future research on the central spin dynamics as two important reference marks: the extreme value of the long-time mean value of thecoherence factor can be used as a sign to distinguish different phases; the equilibrium of the long-time evolution of the coherence factors can be used as a sign of the equivalence or multiple relationships between the coupling relations in the competitive equilibrium.

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    LI Jia-xiu. Structural Design and Exact Dynamics of a Central Spin Model with Completely Recovered Coherence[J]. Journal of Quantum Optics, 2022, 28(3): 247

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    Paper Information

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    Received: Apr. 29, 2022

    Accepted: --

    Published Online: Oct. 14, 2022

    The Author Email: LI Jia-xiu (3120191436@bit.edu.cn)

    DOI:10.3788/jqo20222803.0802

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