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International Journal of Theoretical Physics

Quantum Control and Multipartite Einstein-Podolsky-Rosen Steering in the Dynamical Casimir Arrays

Ruinian Li, Xinyu Ma, Yumei Long, Xue Zhang

Published May 15, 2025• 0 citations
Publisher
DOI
10.1007/s10773-025-05951-5

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Physical Review A•Apr 27, 2022•5 citations
Abstract We design dynamical Casimir arrays (DCA) consisting of giant atoms and coupled resonator waveguides (CRWs) to investigate the Einstein–Podolsky–Rosen (EPR) steering at finite temperatures. Our designed system exhibits an asymmetry in its structure, which is caused by the differences in the sizes and the coupling positions of the giant atoms. The system achieves different types of EPR steering and the reversal of one-way EPR steering by modulating parameters. Furthermore, the symmetry and asymmetry of the system structure, in their responses to parameter modulation, both reveal the asymmetry of EPR steering. In this process, we discover that with the increase in temperature, different types of steering can be transferred from Casimir photons to giant atoms. We also achieve the monogamy of the multipartite system. These results provide important assistance for secure quantum communication, and further intuitively validating the asymmetry of EPR steering from multiple perspectives.
We achieve the controllable multipartite Einstein-Podolsky-Rosen (EPR) steering and its monogamy relations by means of the dynamical Casimir effect in the frame of superconducting quantum network. We employ the external driving flux of the superconducting quantum interference device as a switch. It is interesting that the system exhibits different types of the EPR steering and monogamy relations by tuning parameters. In the system, the one-way or two-way EPR steerings for different parties have been realized, and the direction of the one-way EPR steering is reversed by tuning coupling parameters. Remarkably, we can also obtain the EPR steering orderly sudden death for different modes. In addition, the system not only shows the type-I and type-II monogamy relations, but also converts steering parties to get monogamy relations' swapping and cycling. Finally, we discuss the influence of temperature. In the system, the higher the temperature is, the earlier sudden death for the EPR steering is. These results are important for quantum information and lay a foundation for us to better understand the important role of the multipartite EPR steering in secure quantum communication.