Half-integer vs. integer effects in quantum synchronization of spin systems
1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
2Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
Published: | 2022-12-29, volume 6, page 885 |
Eprint: | arXiv:2208.12766v2 |
Doi: | https://doi.org/10.22331/q-2022-12-29-885 |
Citation: | Quantum 6, 885 (2022). |
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Abstract
We study the quantum synchronization of a single spin driven by an external semiclassical signal for spin numbers larger than $S = 1$, the smallest system to host a quantum 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 between 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 mechanism leads to very different levels of quantum synchronization for integer vs. half-integer $S$. However, by choosing an appropriate limit cycle for each spin number, comparable levels of quantum synchronization can be achieved for both integer and half-integer spin systems.

Featured image: Maximum level of synchronization for different values of spin $S$ and different limit cycles. By choosing different limit-cycle oscillators depending on the size of the spin system, a monotonic growth of the maximum level of quantum synchronization as a function of the size of the spin of the system is found.
Popular summary
Here, we analyze how quantum synchronization depends on the size of the spin system. For specific combinations of a quantum limit-cycle oscillator and an applied signal, we find qualitative differences in the number of synchronization blockades and strong oscillations in the maximum amount of synchronization, depending whether the spin is integer or half-integer. However, if one chooses different limit-cycle oscillators depending on the size of the spin system, a monotonic growth of the maximum level of quantum synchronization as a function of the size of the spin of the system is found.
Our results shed light on the complex interference effects in quantum synchronization and are a first step towards studying the quantum-to-classical transition in synchronization.
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Cited by
[1] Christopher W. Wächtler and Gloria Platero, "Topological synchronization of quantum van der Pol oscillators", Physical Review Research 5 2, 023021 (2023).
[2] Parvinder Solanki, Faraz Mohd Mehdi, Michal Hajdušek, and Sai Vinjanampathy, "Symmetries and Synchronization Blockade", arXiv:2212.09388, (2022).
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