双势阱中极化子凝聚的对称破缺效应
Symmetry-breaking Effects for Polariton Condensates in Double-Well Potentials
摘要：
研究了双势阱中准一维极化激元凝聚在非共振抽运和非线性阻尼作用下对称态和反对称态的存在性、稳定性和动力学性质。该系统的一些典型特征，如非对称解的分叉，类似于原子凝聚体领域中考虑的双阱系统的哈密顿模拟。然而，也有一些不平凡的差异，包括，例如，对于稍大的原子数值，在相关的干草叉分叉中出现的父分支和子分支的不稳定性质。另一个在原子凝聚体情况下没有出现的有趣特征是吸引相互作用的分叉是稍微亚临界的而不是超临界的。这些结论的分岔分析证实了直接数值模拟研究系统的动态不稳定政权。
英文摘要：
We study the existence, stability, and dynamics of symmetric and anti-symmetric states of quasi-one-dimensional polariton condensates in double-well potentials, in the presence of nonresonant pumping and nonlinear damping. Some prototypical features of the system, such as the bifurcation of asymmetric solutions, are similar to the Hamiltonian analog of the double-well system considered in the realm of atomic condensates. Nevertheless, there are also some nontrivial differences including, e.g., the unstable nature of both the parent and the daughter branch emerging in the relevant pitchfork bifurcation for slightly larger values of atom numbers. Another interesting feature that does not appear in the atomic condensate case is that the bifurcation for attractive interactions is slightly sub-critical instead of supercritical. These conclusions of the bifurcation analysis are corroborated by direct numerical simulations examining the dynamics of the system in the unstable regime.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
