分类： 光学 >> 量子光学 提交时间： 2023-02-19
摘要： The challenge posted by modern science is to find a way to compute the NP-hard problem. Here we present a coherent computation model based on the whispering-gallery mode micro-resonators. We introduce the optically connected micro-resonators array to simulate the dynamical evolution of the Ising model with full connection while the mode chirality of the micro-resonators works as the spins of each node in the Ising model. The relaxation time, the steady state distribution, and the mode connection of the Ising spin chain are simulated with the proposed optical system. Moreover, it is found that the current scheme could be used for searching the full solutions of the corresponding Ising problem. Numerical results show that the time required is constant time. Our approach achieves high accuracy and fast computation in the realization of unconventional optimization hardware.
分类： 光学 >> 量子光学 提交时间： 2023-02-19
摘要： Simultaneous ground-state cooling of multiple degenerate mechanical modes is a tough issue in optomechanical system due to the existence of the dark mode effect. Here we propose a universal and scalable method to break the dark mode effect of two degenerate mechanical modes by introducing the cross-Kerr (CK) nonlinearity. At most four stable steady states can be achieved in our scheme in the presence of the CK effect, different from the bistable behavior of the standard optomechanical system. Under the constant input laser power, the effective detuning and mechanical resonant frequency can be modulated by the CK nonlinearity, which results in an optimal CK coupling strength for cooling. Similarly, there will be an optimal input laser power for cooling when the CK coupling strength stays fixed. Our scheme can be extended to break the dark mode effect of multiple degenerate mechanical modes by introducing more than one CK effects. To fulfill the requirement of the simultaneous ground-state cooling of N multiple degenerate mechanical modes N-1 CK effects with different strengths are needed. Our proposal provides new insights in dark mode control and might pave the way to manipulating of multiple quantum states in macroscopic system.
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