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Half-integer vs. integer effects in quantum synchronization of spin systems
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DOI：10.22331/q-2022-12-29-885.png)
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Abstract
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We study the quantum synchronization of a single spin driven by an external semi-classical signal for spin numbers larger than S = 1, the smallest system to host a quan-tum self-sustained oscillator. The occurrence of interference-based quantum synchronization blockade is found to be qualitatively different for integer vs. half-integer spin number S. We explain this phenomenon as the interplay be-tween the external signal and the structure of the limit cycle in the generation of coherence in the system. Moreover, we show that the same dissipative limit-cycle stabilization mech-anism leads to very different levels of quantum synchronization for integer vs. half-integer S. However, by choosing an appropriate limit cy-cle for each spin number, comparable levels of quantum synchronization can be achieved for both integer and half-integer spin systems.
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