Since the quantum Hall effect has been found, the topology of electrons has gradually become an important direction for the study of coagular physics. In order to realize some topological states of some theoretical prophesies, people find the topological state of the Maxwell fluctuations to simulate the topology of single electronic wave functions, i.e., the transmission analog electrons in the periodic medium in the periodic medium. Topological edge state. This type of study is summarized as topological photonics, which belongs to classical optical categories.
So, can the quantum attribute of light bring classic optical can't explain topological states? Recently, after the Ph.D. of the Department of Physics, Zhejiang University, Wang Dawei published a papers in the National Science Review, revealing the topology of light-based quantum attributes. The quantum attribute of light is first embodied in a discrete energy value. Its introsome is called the FOCK state, the energy is (N + 1/2) hν, where H is the Pronke constant, ν is the frequency of light. The integer N can be understood as the number of photons of the fucker, and 1/2 is the contribution of vacuum. Such dispersion is both the key to explaining the irradiation of the black body and affects the interaction of light and atoms. For example, when an atom and an inner light field interaction, the oscillating frequency between the atoms between the excitation state and the base state contains only a proportional discrete value. This model is called a Jaynes-Cummings (JC) model. At first glance, the JC model and the topology are indisputable, but it is proportional to the energy that is associated with the electronics of the graphene. The structure of graphene is the basis for constructing a Haldane model and topological insulator. This paper establishes the connection between JC model and graphene-alone. In the three-mode JC model, one atom and three cavity are coupled. The quantum state having all total excitation numbers constitutes a honeycomb lattice having a triangular edge, a size dependent on N (see Figure A). The coupling coefficient between the quantum state is proportional to the square root of the number of photons in the coupling chamber, thus varies with position. This is similar to graphene under stress. This stress causes the fuck stretch lattice on the inner cut circle of the triangular edge to the topology phase change of the insulator. In the semi-metallic phase located in the circle, the stress is equivalent to a magnetic field, resulting in quantized Langluid (see Figure B).
(A) honeycomb Fuk Stype Lattice and its coupling coefficients with position changes. (B) Subject spectrum of the three model JC model. On this basis, the author further studied the Valley Hall effect and the Haldane model based on the fifak-state lattice, and the Su-Schriefer-Heeger model of a Victorian lattice and its topologies. This study can be expanded to higher dimensions and implemented in the superconducting circuit, providing a new research platform for high-dimensional topology, and is expected to provide new methods for quantum information processing. This project has been supported by the Ministry of Science and Technology Key R & D Plan and the National Natural Science Foundation of China.
Responsible Editor: LQ, Reading full text, original title: When Focus encounters the topology of light and atom interaction
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