Abstract

We introduce a strategy to regulate the quantum entanglement in a dispersive-hybrid system where a qubit is directly coupled to a cavity and a resonator. A dramatic transition takes place by only tuning the squeezing parameters associated with the vibrational mode. As the squeezing amplitude becomes larger, the maximal entanglement abruptly falls to zero at specific squeezing phases. It is also possible to generate entanglement for bipartitions from the qubit-cavity-resonator system after applying this strategy. Entangled qubit-cavity states are created through squeezing, even though there is no direct interaction between them. We also analyze the effect of atomic, optical, and vibrational losses on the quantum entanglement. Finally, we discuss future realizations to implement all these ideas and promote further studies to generalize the concept of monogamy in tripartite systems outside qubit-composite states, in particular, (2- 2- n)-dimensional systems. © 2023 American Physical Society.