Iachello, F.Cortiñas, Rodrigo G.Pérez Bernal, FranciscoSantos, Lea F.2024-02-052024-02-052023Iachello, F., Cortiñas, R. G., Pérez-Bernal, F., & Santos, L. F. (2023). Symmetries of the squeeze-driven Kerr oscillator. In Journal of Physics A: Mathematical and Theoretical (Vol. 56, Issue 49, p. 495305). IOP Publishing. https://doi.org/10.1088/1751-8121/ad09eb1751-81211751-8121 (electrónico)https://hdl.handle.net/10272/23098We study the symmetries of the static effective Hamiltonian of a driven superconducting nonlinear oscillator, the so-called squeeze-driven Kerr Hamiltonian, and discover a remarkable quasi-spin symmetry su(2) at integer values of the ratio η = ∆/K of the detuning parameter ∆ to the Kerr coef- ficient K. We investigate the stability of this newly discovered symmetry to high-order perturbations arising from the static effective expansion of the driven Hamiltonian. Our finding may find applications in the generation and stabilization of states useful for quantum computing. Finally, we discuss other Hamiltonians with similar properties and within reach of current technologies.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Kerr parametric oscillatorSqueeze-driven Kerr oscillatorLocal symmetryQuasi-spin symmetryExcited-state quantum phase transitionjournal article10.1088/1751-8121/ad09ebopen access22 Física