Quantum Mechanical Coupling

Wei Huang, Songyi Liu, Shi-Ting Cao +4 more

In this paper, we present a full quantum description for coupling mechanism of the metamaterial. We start the derivation from quantum master equation to fit the spectrum of THz metamaterial. Therefore we can employ the quantum master equation to describe the coupling of metamaterial, such as the electromagnetically induced transparency (EIT) and bound state in the continuum (BIC). In this paper, we build up a bridge between the quantum mechanism and coupling mechanism of metamaterial, so-called quantum–classical analogies. Based on our theory, we can find the more quantum phenomenon with corresponding to the coupling phenomenon of the metamaterial.

Ian S. Osborne

A. Jolk, Claus F. Klingshirn, R. v. Baltz

The classical system of two coupled ideal harmonic oscillators is solved and its exact solution is compared to the quantum mechanical equivalent of two coupled states. In both cases, the coupling leads to a non-crossing behavior with a “level repulsion” depending on the coupling parameter. A special Hamiltonian is presented that gives identical results in the classical and in the quantum mechanical case.

Yujie Li, Li Deng, Tai-Shuang Yin +1 more

In this study, we investigated the properties of entanglement of an optomechanical system including two mechanical oscillators, where two mechanical oscillators are coupled with the cavity field in different coupling modes: the interaction between one mechanical oscillator and cavity field is first-order coupling, and the interaction between the other and the cavity field is quadratic coupling. On the one hand, the entanglement between two mechanical oscillators is studied. The influence of the frequency of the cavity field, the mass of mechanical oscillators, and the temperature of mechanical oscillators on the entanglement between two mechanical oscillators are investigated. On the other hand, for the given parameters of the system, we also obtained the entanglement between the cavity field and the mechanical oscillator that has a quadratic coupling. Compared with the entanglement between microscopic particles, the stable macroscopic quantum entanglement between two mechanical oscillators has the characteristics of long existence life and can be reused, and it also plays an important role in quantum information processing and quantum network construction.