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Balancing coherent and dissipative dynamics in a central-spin system

机译：在中央旋转系统中平衡相干性和耗散动态

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摘要

The average time required for an open quantum system to reach a steady state (the steady-state time) is generally determined through a competition of coherent and incoherent (dissipalive) dynamics. Here, we study this competition for a ubiquitous central-spin system, corresponding to a central-spin-1/2 coherently coupled to ancilla spins and undergoing dissipalive spin relaxation. The ancilla system can describe N spins-1/2 or, equivalently, a single large spin of length I = N/2. We find exact analytical expressions for the steady-state time in terms of the dissipation rate, resulting in a minimal (optimal) steady-state time at an optimal value of the dissipation rate, according to a universal curve. Due to a collective-enhancement effect, the optimized steady-state time grows only logarithmically with increasing N = 2I, demonstrating that the system size can be grown substantially with only a moderate cost in steady-state time. This paper has direct applications to the rapid initialization of spin qubits in quantum dots or bound to donor impurities, to dynamic nuclear-spin polarization protocols, and may provide key intuition for the benefits of error-correction protocols in quantum annealing.
机译：开放量子系统达到稳定状态所需的平均时间（稳态时间）通常通过相干和不连贯（分派）动态的竞争来确定。在这里，我们研究了普遍存在的中央旋转系统的竞争，对应于中心旋转1/2的中央旋转1/2，它与ancilla旋转相干，并且经历过组分旋转松弛。 ANCILLA系统可以描述n旋转-1 / 2，或等效地，单个大的长度I = n / 2。根据普遍曲线，我们在耗散速率方面发现了针对稳态时间的精确分析表达式，从而在耗散速率的最佳值下最小（最佳）稳态时间。由于集体增强效果，优化的稳态时间仅在对数上进行对数，随着n = 2i的增加，证明系统尺寸可以仅在稳态时间内具有中等成本基本上生长。本文具有直接应用于量子点中的旋转距离或与供体杂质结合的快速初始化，以动态核自旋极化方案，并且可以为量子退火中的误差协议的益处提供关键直觉。

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  • 来源
    《Physical review》 |2020年第8期|085413.1-085413.13|共13页
  • 作者

    A. Ricottone; Y. N. Fang; W. A. Coish;

  • 作者单位

    Department of Physics McGill University Montreal Quebec H3A 2T8 Canada;

    Beijing Computational Science Research Center Beijing 100193 China Department of Physics McGill University Montreal Quebec H3A 2T8 Canada CAS Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences University of the Chinese Academy of Sciences Beijing 100190 China Synergetic Innovation Center of Quantum Information and Quantum Physics University of Science and Technology of China Hefei Anhui 230026 China;

    Department of Physics McGill University Montreal Quebec H3A 2T8 Canada;

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