Symmetries of the squeeze-driven Kerr oscillator
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- ficien...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Huelva (UHU) |
| Repositorio: | Arias Montano. Repositorio Institucional de la Universidad de Huelva |
| Idioma: | inglés |
| OAI Identifier: | oai:ariasmontano.uhu.es:10272/23098 |
| Acceso en línea: | https://hdl.handle.net/10272/23098 |
| Access Level: | acceso abierto |
| Palabra clave: | Kerr parametric oscillator Squeeze-driven Kerr oscillator Local symmetry Quasi-spin symmetry Excited-state quantum phase transition 22 Física |
| Sumario: | 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. |
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