Quantum fluctuations and correlations of spatial scalar or multimode vector solitons in Kerr media

色散Kerr谐振器中参量驱动腔孤子的量子和经典噪声特性

Quantum and classical noise characteristics of parametrically driven cavity solitons in dispersive Kerr resonators

本文理论研究了双色驱动色散Kerr谐振器中纯Kerr参量驱动腔孤子（PDCS）的技术噪声和量子噪声特性，发现PDCS在噪声敏感的光子应用和量子资源方面优于传统腔孤子。

Quantum dynamics of Dissipative Kerr solitons

Dissipative Kerr solitons arising from parametric gain in ring microresonators are usually described within a classical mean-field framework. Here, we develop a quantum-mechanical model of dissipative Kerr solitons in terms of the truncated Wigner method, which accounts for quantum effects to lowest order. We show that the soliton experiences a finite lifetime due to quantum fluctuations originating from losses. Reading the results in terms of the theory of open quantum systems, allows to estimate the Liouvillian spectrum of the system. It is characterized by a set of eigenvalues with finite i…

Superconducting cavity piezo-electromechanics: the realization of an acoustic frequency comb at microwave frequencies

We present a nonlinear multimode superconducting electroacoustic system, where the interplay between superconducting kinetic inductance and piezoelectric strong coupling establishes an effective Kerr nonlinearity among multiple acoustic modes at 10 GHz that could hardly be achieved via intrinsic mechanical nonlinearity. By exciting this multimode Kerr system with a single microwave tone, we further demonstrate a coherent electroacoustic frequency comb and provide theoretical understanding of multimode nonlinear interaction in the superstrong coupling limit. This nonlinear superconducting elect…

Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized PT-symmetric Scarff-II potentials

We present a unified theoretical study of the bright solitons governed by self-focusing and defocusing nonlinear Schrodinger (NLS) equations with generalized parity-time (PT)-symmetric Scarff II potentials. Particularly, a PT-symmetric k-wavenumber Scarff II potential and a multi-well Scarff II potential are considered, respectively. For the k-wavenumber Scarff II potential, the parameter space can be divided into different regions, corresponding to unbroken and broken PT-symmetry and the bright solitons for self-focusing and defocusing Kerr nonlinearities. For the multi-well Scarff II potenti…

双Lévy指数分数Kerr介质中孤子坍缩、调制不稳定性与怪波激发的抑制

Suppression of soliton collapses, modulational instability, and rogue-wave excitation in two-Lévy-index fractional Kerr media

本文研究双Lévy指数分数Kerr介质中的一维分数非线性薛定谔方程，发现双指数系统可抑制单指数系统中的孤子坍缩，并分析了孤子稳定性、调制不稳定性及一阶和二阶怪波的激发。