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Classical colored noise-induced quantum synchronization

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Abstract

We investigate the phenomenon of quantum transient synchronization in an open quantum system comprising a qubit interacting with a non-Gaussian fluctuating colored-noise environment. The spectrum of this environment follows a power-law form of \(1/f^{\alpha }\). We employ the Husimi Q-function and the synchronization measure S-function to measure the occurrence and strength of phase locking. The findings reveal that Markovian and non-Markovian dynamics contribute to quantum synchronization, with their significance dependent on the parameter \(\alpha \). Our analysis hints at a transition between Markovian and non-Markovian behavior in the pure dephasing evolution, estimated around \(\alpha \approx 1\). Furthermore, the Arnold tongue phenomenon offers additional evidence to support our observations. Deviating from the \(\alpha \approx 1\) value increases the likelihood of synchronization while increasing the number of fluctuators narrows down the synchronization region.

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Acknowledgements

We thank the support from the Science and Technology Innovation Training Program of Nanjing University of Posts and Telecommunication (Grant No. 202310293071Y) and the Natural Science Foundation of China (Grant No. 62375140).

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Authors and Affiliations

  1. Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunication, Nanjing, 210003, China

    X. Y. Huang, Q. Ma, M. K. Wu & W. W. Cheng

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  1. X. Y. Huang
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  2. Q. Ma
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  3. M. K. Wu
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  4. W. W. Cheng
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Cheng proposed the idea. Huang and Ma carried out the calculations and contributed equally to this work. Huang, Ma, Wu, and Cheng wrote the paper. All authors discussed the results and commented on the manuscript.

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Correspondence to W. W. Cheng.

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Huang, X.Y., Ma, Q., Wu, M.K. et al. Classical colored noise-induced quantum synchronization. Quantum Inf Process 22, 431 (2023). https://doi.org/10.1007/s11128-023-04194-9

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