We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schr?dinger cat states in a certa...We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schr?dinger cat states in a certain limit. The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras. It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.展开更多
The general expression with the physical significance and positive-definite condition of the eigenvalues of 4 × 4 Hermitian and trace-one matrix are obtained. The obvious expression of Peres' separability con...The general expression with the physical significance and positive-definite condition of the eigenvalues of 4 × 4 Hermitian and trace-one matrix are obtained. The obvious expression of Peres' separability condition for an arbitrary state of two qubits is then given and its operational feature is enhanced. Furthermore, we discuss some applications to the calculation of the entanglement, the upper bound of the entanglement, and a model of the transfer of entanglement in a qubit chain with noise.展开更多
Based on an extensive study of the Dyson-Schwinger equations for a fullydressed quark propagator in the 'rainbow' approximation, a parametrized form of the quark propagatoris suggested. The corresponding quark...Based on an extensive study of the Dyson-Schwinger equations for a fullydressed quark propagator in the 'rainbow' approximation, a parametrized form of the quark propagatoris suggested. The corresponding quark self-energy Σ_f and tie structure of non-local quark vacuumcondensate 【 0 | : q(x)q(0) : | 0 】 are investigated. The algebraic form of the quark propagatorproposed in this work describes a confining quark propagation, and is quite convenient to be used inany numerical calculations.展开更多
文摘We introduce new kinds of states of quantized radiation fields, which are the superpositions of negative binomial states. They exhibit remarkable nonclassical properties and reduce to Schr?dinger cat states in a certain limit. The algebras involved in the even and odd negative binomial states turn out to be generally deformed oscillator algebras. It is found that the even and odd negative binomial states satisfy the same eigenvalue equation with the same eigenvalue and they can be viewed as two-photon nonlinear coherent states. Two methods of generating such the states are proposed.
文摘The general expression with the physical significance and positive-definite condition of the eigenvalues of 4 × 4 Hermitian and trace-one matrix are obtained. The obvious expression of Peres' separability condition for an arbitrary state of two qubits is then given and its operational feature is enhanced. Furthermore, we discuss some applications to the calculation of the entanglement, the upper bound of the entanglement, and a model of the transfer of entanglement in a qubit chain with noise.
文摘Based on an extensive study of the Dyson-Schwinger equations for a fullydressed quark propagator in the 'rainbow' approximation, a parametrized form of the quark propagatoris suggested. The corresponding quark self-energy Σ_f and tie structure of non-local quark vacuumcondensate 【 0 | : q(x)q(0) : | 0 】 are investigated. The algebraic form of the quark propagatorproposed in this work describes a confining quark propagation, and is quite convenient to be used inany numerical calculations.
