Some Regularities of Continuous Solid Solutions of Alloy Systems

A modified Miedema model and pattern recognition technique are used to establish the criteriafor the formation of continuous solid solutions in alloy systems, and to study the occurrence ofthe melting temperature minimum of continuous solid solutions.

A Systemic Approach to Continuation Writing

Continuation writing,a new form of testifying students’comprehensive English competence,is also a way to better English as a foreign language.The author here,aiming to use it as an efficient way of boosting students’English competence,proffers a systemic approach for students to getting familiar with and getting close to the writing to improve their ability based on writing after reading.Therefore,this paper is all about the systemic way of approaching continuation writing,including the recognition of the criteria,the ideal writing steps or procedures,the writing evaluation and so on.With all the work done here,the author had hoped to provide the frontline teachers and students a bird view of the continuation writing and a practical way to it.

Non-adiabatic holonomic quantum operations in continuous variable systems

Quantum operations by utilizing the underlying geometric phases produced in physical systems are favoured due to their potential robustness.When a system in a non-degenerate eigenstate undergoes an adiabatically cyclic evolution dominated by its Hamiltonian,it will get a geometric phase,referred to as the Berry Phase.While a non-adiabatically cyclic evolution produces an Aharonov-Anandan geometric phase.The two types of Abelian geometric phases are extended to the non-Abelian cases,where the phase factors become matrix-valued and the transformations associated with different loops are non-commutable.Abelian and non-Abelian(holonomic)operations are prevalent in discrete variable systems,whose limited(say,two)energy levels,form the qubit.While their developments in continuous systems have also been investigated,mainly due to that,bosonic modes(in,such as,cat states)with large Hilbert spaces,provide potential advantages in fault-tolerant quantum computation.Here we propose a feasible scheme to realize non-adiabatic holonomic quantum logic operations in continuous variable systems with cat codes.We construct arbitrary single-qubit(two-qubit)gates with the combination of single-and two-photon drivings applied to a Kerr Parametric Oscillator(KPO)(the coupled KPOs).Our scheme relaxes the requirements of the previously proposed quantum geometric operation strategies in continuous variable systems,providing an effective way for quantum control.

Hlder Continuity of the Gradient of Solutions of Nonlinear Degenerate Parabolic Systems

§1. Introduction In this paper we consider the parabolic system （?）t/（?）ui-div(|▽u|p-2▽ui)=0（1≤i≤m）, with p>1, where ui=ui（x, t）, ▽=gradx and x varies in an open domain Ω（?）RN. The system is degenerate if p>2 or singular if 1<p<2. A vector function u=（u1, u2, …, um） defined in ΩT=Ω×[0, T] is called a solution of the system （1.1）

Observation and Measures of Robust Correlations for Continuous Variable System

In this work, we examine the robust continuous variable quantum correlation by analyzing two coupled optomechanical systems. Under the linearization approximation, the steady state correlation is quantified through correlation function of two non-Hermitian operators and we find that quantum correlation is always existence between two optical fields, two-oscillators and optical field-oscillator. Unlike the discrete variable system, we show quantum correlation in our model seems to be independent without any close transfer relationship. We further emphasize the influence of cavity-cavity coupling parameter on the amount of quantum correlations.