标题： 弗罗佐尼姆：弗洛凯超导电路中的冻结非简谐性 显示英文标题

标题： Frozonium: Freezing Anharmonicity in Floquet Superconducting Circuits

摘要： 弗洛凯工程是一种强大的方法，可以通过应用周期性时变驱动来修改相互作用多体哈密顿量的特性。 在这里，我们考虑在通量子区域及更广泛区域内，通过弗洛凯驱动存在的电感分流超导约瑟夫森结的物理特性，我们将这种系统称为冷冻子人工原子。 我们发现，在驱动幅度和频率的特殊比值附近，多体动力学可以调节为有效线性玻色振子的动力学，附加的非线性修正在驱动频率的高次幂中被抑制。 通过分析时间演化的冷冻子波函数与线性振子本征基之间的反参与比率，我们展示了利用数值精确对角化和弗洛凯-马格努斯展开相结合的方法实现新颖动力控制的能力。 我们讨论了由驱动引起的准能量态之间的共振物理，以及减轻其影响的方法。 我们还强调了冷冻子在实验设置中存在的外部噪声源方面的增强保护。 这项工作为未来在量子存储和使用超导电路的玻色量子控制中的应用奠定了基础。 显示英文摘要

摘要： Floquet engineering is a powerful method that can be used to modify the properties of interacting many-body Hamiltonians via the application of periodic time-dependent drives. Here we consider the physics of an inductively shunted superconducting Josephson junction in the presence of Floquet drives in the fluxonium regime and beyond, which we dub the frozonium artificial atom. We find that in the vicinity of special ratios of the drive amplitude and frequency, the many-body dynamics can be tuned to that of an effectively linear bosonic oscillator, with additional nonlinear corrections that are suppressed in higher powers of the drive frequency. By analyzing the inverse participation ratios between the time-evolved frozonium wavefunctions and the eigenbasis of a linear oscillator, we demonstrate the ability to achieve a novel dynamical control using a combination of numerical exact diagonalization and Floquet-Magnus expansion. We discuss the physics of resonances between quasi-energy states induced by the drive, and ways to mitigate their effects. We also highlight the enhanced protection of frozonium against external sources of noise present in experimental setups. This work lays the foundation for future applications in quantum memory and bosonic quantum control using superconducting circuits.