Paul Bulti, Bandyopadhyay Biswabibek, Banerjee Tanmoy
Chaos and Complex Systems Research Laboratory, Department of Physics, <a href="https://ror.org/05cyd8v32">University of Burdwan</a>, Burdwan, 713 104 West Bengal, India.
Department of Physics and Astronomy, <a href="https://ror.org/000e0be47">Northwestern University</a>, 2145 Sheridan Road, Evanston, Illinois 60208, USA.
Phys Rev E. 2024 Sep;110(3-1):034210. doi: 10.1103/PhysRevE.110.034210.
We study the emergent dynamics of quantum self-sustained oscillators induced by the simultaneous presence of attraction and repulsion in the coupling path. We consider quantum Stuart-Landau oscillators under attractive-repulsive coupling and construct the corresponding quantum master equation in the Lindblad form. We discover an interesting symmetry-breaking transition from quantum limit cycle oscillation to a quantum inhomogeneous steady state. This transition is contrary to the previously known symmetry-breaking transition from a quantum homogeneous state to an inhomogeneous steady state. The result is supported by the analysis on the noisy classical model of the quantum system in the weak quantum regime. Remarkably, we find the generation of entanglement associated with the symmetry-breaking transition that has no analog in the classical domain. This study enriches our understanding of the collective behaviors shown by coupled oscillators in the quantum domain.
我们研究了在耦合路径中同时存在吸引和排斥作用时量子自持振荡器的涌现动力学。我们考虑了具有吸引 - 排斥耦合的量子斯图尔特 - 朗道振荡器，并构建了相应的林德布拉德形式的量子主方程。我们发现了一个有趣的对称性破缺转变，即从量子极限环振荡转变为量子非均匀稳态。这种转变与先前已知的从量子均匀态到非均匀稳态的对称性破缺转变相反。该结果得到了对量子系统在弱量子区域的噪声经典模型的分析支持。值得注意的是，我们发现了与对称性破缺转变相关的纠缠产生，这在经典领域中没有类似情况。这项研究丰富了我们对量子领域中耦合振荡器所表现出的集体行为的理解。
