Bandyopadhyay Biswabibek, Khatun Taniya, Banerjee Tanmoy
Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
Phys Rev E. 2021 Aug;104(2-1):024214. doi: 10.1103/PhysRevE.104.024214.
An important transition from a homogeneous steady state to an inhomogeneous steady state via the Turing bifurcation in coupled oscillators was reported recently [Phys. Rev. Lett. 111, 024103 (2013)PRLTAO0031-900710.1103/PhysRevLett.111.024103]. However, the same in the quantum domain is yet to be observed. In this paper, we discover the quantum analog of the Turing bifurcation in coupled quantum oscillators. We show that a homogeneous steady state is transformed into an inhomogeneous steady state through this bifurcation in coupled quantum van der Pol oscillators. We demonstrate our results by a direct simulation of the quantum master equation in the Lindblad form. We further support our observations through an analytical treatment of the noisy classical model. Our study explores the paradigmatic Turing bifurcation at the quantum-classical interface and opens up the door toward its broader understanding.
最近有报道称，耦合振子中通过图灵分岔从均匀稳态到非均匀稳态的重要转变[《物理评论快报》111, 024103 (2013)PRLTAO0031 - 900710.1103/PhysRevLett.111.024103]。然而，量子领域中的相同现象尚未被观测到。在本文中，我们发现了耦合量子振子中图灵分岔的量子类似物。我们表明，通过耦合量子范德波尔振子中的这种分岔，均匀稳态转变为非均匀稳态。我们通过对林德布拉德形式的量子主方程进行直接模拟来展示我们的结果。我们通过对有噪声的经典模型进行解析处理进一步支持我们的观察结果。我们的研究探索了量子 - 经典界面处的典型图灵分岔，并为更广泛地理解它打开了大门。
