Symmetries of the squeeze-driven Kerr oscillator
Metadatos
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IOP Publishing
Materia
Kerr parametric oscillator Squeeze-driven Kerr oscillator Local symmetry
Fecha
2023-11-20Referencia bibliográfica
Francesco Iachello et al. Symmetries of the squeeze-driven Kerr oscillator. 2023 J. Phys. A: Math. Theor. 56 495305 [10.1088/1751-8121/ad09eb]
Patrocinador
NSF CCI Grant (Award Number 2124511); European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No 872081; 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’; FEDER/MINECO Project UNHU-15CE-2848Resumen
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.