1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland
2Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
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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] Parvinder Solanki, Faraz Mohd Mehdi, Michal Hajdušek, and Sai Vinjanampathy, "Symmetries and Synchronization Blockade", arXiv:2212.09388.
The above citations are from SAO/NASA ADS (last updated successfully 2022-12-30 03:29:08). The list may be incomplete as not all publishers provide suitable and complete citation data.
On Crossref's cited-by service no data on citing works was found (last attempt 2022-12-30 03:29:07).
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.
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