论文标题
超导非线性不对称元件中的流动波参数放大器中的模拟黑白孔孤子
Analogue black-white hole solitons in travelling wave parametric amplifiers with superconducting nonlinear asymmetric inductive elements
论文作者
论文摘要
我们表明，使用超导非线性不对称电感元件（Snails），现有的行驶波参数放大器（TWPA）设置，允许用作模拟事件范围的孤子解决方案。蜗牛-TWPA电路动力学由korteweg-de Vries（KDV）或连续场近似中的修改后的Korteweg-de Vries（MKDV）方程描述，这取决于外部磁通偏置，并在数值上进行了验证。孤子在空间上调节了弱探针的速度，从而有效地实现了模拟黑洞和白洞事件地平线对。蜗牛外部磁通偏置可调性促进了三波混合过程，从而增强了观察鹰光子辐射的前景。
We show that existing travelling wave parametric amplifier (TWPA) setups, using superconducting nonlinear asymmetric inductive elements (SNAILs), admit soliton solutions that act as analogue event horizons. The SNAIL-TWPA circuit dynamics are described by the Korteweg-de Vries (KdV) or modified Korteweg-de Vries (mKdV) equations in the continuum field approximation, depending on the external magnetic flux bias, and validated numerically. The soliton spatially modulates the velocity for weak probes, resulting in the effective realization of analogue black hole and white hole event horizon pairs. The SNAIL external magnetic flux bias tunability facilitates a three-wave mixing process, which enhances the prospects for observing Hawking photon radiation.
