Variable frequency photonic crystals

In this paper, we have firstly proposed a new one-dimensional variable frequency photonic crystals (VFPCs), and calculated the transmissivity and the electronic field distribution of VFPCs with and without defect layer, and considered the effect of defect layer and variable frequency function on the transmissivity and the electronic field distribution. We have obtained some new characteristics for the VFPCs, which should be help to design a new type optical devices.Comment: arXiv admin note: substantial text overlap with arXiv:1502.0511

A new one-dimensional variable frequency photonic crystals

In this paper, we have firstly proposed a new one-dimensional variable frequency photonic crystals (VFPCs). We have calculated the transmissivity and the electronic field distribution of VFPCs and compare them with the conventional PCs, and obtained some new results, which should be help to design a new type optical devices, and the two-dimensional and three-dimensional VFPCs can be studied further.Comment: arXiv admin note: text overlap with arXiv:1301.6109 by other author

Two-photon spin states and entanglement states

In this paper, we have given the spin states of two-photon, which are expressed by the quadratic combination of two single photon spin states, they are a kind of quantum expression. Otherwise, we give all entanglement states of two-photon, which are different from the xanzsd classical polarization vector expression of two-photon entanglement state.Comment: arXiv admin note: text overlap with arXiv:1303.3406 by other author

Logical operation of one-dimensional photonic crystal based on series and parallel connection

In this paper, we have proposed the compound structure of one-dimensional photonic crystal (PC), which includes series connection and parallel connection PC. We have studied the transmission characteristics of series connection and parallel connection PC, and obtained some new results. In addition, we have proved the series connection one-dimensional PC can realize the logical AND operation, and the parallel connection one-dimensional PC can realize the logical OR operation. The compound structure of one-dimensional PC can design more new type structure optical devices, and will provide the basic for designing quantum computer.Comment: arXiv admin note: substantial text overlap with arXiv:1509.0382

Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure

In classical computational chemistry, the coupled-cluster ansatz is one of the most commonly used $ab~initio$ methods, which is critically limited by its non-unitary nature. The unitary modification as an ideal solution to the problem is, however, extremely inefficient in classical conventional computation. Here, we provide the first experimental evidence that indeed the unitary version of the coupled cluster ansatz can be reliably performed in physical quantum system, a trapped ion system. We perform a simulation on the electronic structure of a molecular ion (HeH$^+$), where the ground-state energy surface curve is probed, energies of excited-states are studied and the bond-dissociation is simulated non-perturbatively. Our simulation takes advantages from quantum computation to overcome the intrinsic limitations in classical computation and our experimental results indicate that the method is promising for preparing molecular ground-states for quantum simulation.Comment: 6 pages, 4 figure

Spinor wave equation of photon

In this paper, we give the spinor wave equations of free and unfree photon, which are the differential equation of space-time one order. For the free photon, the spinor wave equations are covariant, and the spinors $\psi$ are corresponding to the the reducibility representations $D^{10}+D^{01}$ and $D^{10}+D^{01}+D^{1/2 1/2}$ of the proper Lorentz group

Einstein-Podolsky-Rosen Steerability Criterion for Two-Qubit Density Matrices

We propose a sufficient criterion ${S}=\lambda_1+\lambda_2-(\lambda_1-\lambda_2)^2<0$ to detect Einstein-Podolsky-Rosen steering for arbitrary two-qubit density matrix $\rho_{AB}$. Here $\lambda_1,\lambda_2$ are respectively the minimal and the second minimal eigenvalues of $\rho^{T_B}_{AB}$, which is the partial transpose of $\rho_{AB}$. By investigating several typical two-qubit states such as the isotropic state, Bell-diagonal state, maximally entangled mixed state, etc., we show this criterion works efficiently and can make reasonable predictions for steerability. We also present a mixed state of which steerability always exists, and compare the result with the violation of steering inequalities.Comment: 4 pages, 3 figure. 3 figures are added. Comments are welcom

The linear and nonlinear Jaynes-Cummings model for the multiphoton transition

With the Jaynes-Cummings model, we have studied the atom and light field quantum entanglement of multiphoton transition, and researched the effect of initial state superposition coefficient $C_{1}$, the transition photon number $N$, the quantum discord $\delta$ and the nonlinear coefficient $\chi$ on the quantum entanglement degrees. We have given the quantum entanglement degrees curves with time evolution, and obtained some results, which should have been used in quantum computing and quantum information.Comment: arXiv admin note: text overlap with arXiv:1404.0821, arXiv:1205.0979 by other author

The effect of defect layer on transmissivity and light field distribution in general function photonic crystals

We have theoretically investigated a general function photonic crystals (GFPCs) with defect layer, and choose the line refractive index function for two mediums $A$ and $B$, and analyze the effect of defect layer's position, refractive indexes and period numbers on the transmission intensity and the electric field distribution. We obtain some new characters that are different from the conventional PCs, which should be helpful in the design of photonic crystals.Comment: arXiv admin note: substantial text overlap with arXiv:1207.3556, arXiv:1205.1178, arXiv:1212.079

Three-electron spin states and entanglement states

In this paper, we have given the symmetrical and antisymmetrical spin and space wave functions of three-electron, and further given the full total entanglement states for the three-electron, which are related to their space and spin wave function. When we study particles entanglement we not only consider their spin entanglement and also consider their space entanglement. Otherwise, we find that electrons entanglement are restricted to the teeny range, when electrons exceed the space range, their entanglement should be broken down even disappearance, which is accordance with the experiments results