@misc{10481/91061, year = {2023}, month = {11}, url = {https://hdl.handle.net/10481/91061}, abstract = {We 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 = Δ/K of the detuning parameter Δ to the Kerr coefficient 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.}, organization = {NSF CCI Grant (Award Number 2124511)}, organization = {European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No 872081}, organization = {Grant PID2019-104002GB-C21 funded by MCIN/AEI/10.13039/501100011033 and, as appropriate, by ‘ERDF A way of making Europe’, by the ‘European Union’ or by the ‘European Union NextGenerationEU/PRTR’}, organization = {FEDER/MINECO Project UNHU-15CE-2848}, publisher = {IOP Publishing}, keywords = {Kerr parametric oscillator}, keywords = {Squeeze-driven Kerr oscillator}, keywords = {Local symmetry}, title = {Symmetries of the squeeze-driven Kerr oscillator}, doi = {10.1088/1751-8121/ad09eb}, author = {Iachello, Francesco and Cortiñas, Rodrigo G. and Pérez Bernal, Francisco and Santos, Lea F.}, }