@article{10272/23098,
year = {2023},
url = {https://hdl.handle.net/10272/23098},
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 = ∆/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.},
organization = {This research was supported by the NSF CCI Grant (Award Number 2124511). R G C acknow-
ledges discussions with J Venkatraman, X Xiao, M Devoret, and P and V Kurilovich. F P B
thanks funding received from the European Union’s Horizon 2020 research and innovation
program under the Marie Skłodowska-Curie Grant Agreement No 872081 and from Grant
PID2019-104002GB-C21 funded by MCIN/AEI/ 10.13039/501100011033 and, as appropri-
ate, by ‘ERDF A way of making Europe’, by the ‘European Union’ or by the ‘European Union
NextGenerationEU/PRTR’. Computing resources supporting this work were partially provided
by the CEAFMC and Universidad de Huelva High Performance Computer (HPC@UHU) loc-
ated in the Campus Universitario el Carmen and funded by FEDER/MINECO Project UNHU-
15CE-2848.},
publisher = {IOP Publishing},
title = {Symmetries of the squeeze-driven Kerr oscillator},
doi = {10.1088/1751-8121/ad09eb},
author = {Iachello, F. and Cortiñas, Rodrigo G. and Pérez Bernal, Francisco and Santos, Lea F.},
}