We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light fie...We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light field.Especially,the relationship between the coherent thermal state and the characteristic function and the positive Prepresentation in quantum optics theory are obtained.展开更多
For the superposition field a^+1+aA^+2 of two light modes we introduce an appropriate diagonal P-representation which is constructed on the common eigenvectors |z,x 〉 of (X1 -X2) and al + a2, where Xi = (ai ...For the superposition field a^+1+aA^+2 of two light modes we introduce an appropriate diagonal P-representation which is constructed on the common eigenvectors |z,x 〉 of (X1 -X2) and al + a2, where Xi = (ai + a^+i) /√2, [ai, a^+i] = δij. It is remarkable that |z, x〉make up a new quantum mechanical representation.展开更多
Using the technique of integration within an antinormally ordered product of operators we present a convenient approach for deriving some new operator identities in quantum optics theory. Based on P-representation we ...Using the technique of integration within an antinormally ordered product of operators we present a convenient approach for deriving some new operator identities in quantum optics theory. Based on P-representation we also derive a new formula for evaluating photocount distribution.展开更多
By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting dis...By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting distributions for some given light fields. It is found that the pure squeezed state's photon counting distribution is related to the Legendre function, which is a new result.展开更多
Using the technique of integration within an ordered product of nonlinear Bose operators and by composing the nonlinear coherent state's over-completeness relation, we construct the corresponding P-representation ...Using the technique of integration within an ordered product of nonlinear Bose operators and by composing the nonlinear coherent state's over-completeness relation, we construct the corresponding P-representation theory. The generalized P-representation for some nonlinear Bose operators can be established.展开更多
基金the President Foundation of the Chinese Academy of Sciences
文摘We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light field.Especially,the relationship between the coherent thermal state and the characteristic function and the positive Prepresentation in quantum optics theory are obtained.
基金The project supported by the President Foundation of the Chinese Academy of Sciences
文摘For the superposition field a^+1+aA^+2 of two light modes we introduce an appropriate diagonal P-representation which is constructed on the common eigenvectors |z,x 〉 of (X1 -X2) and al + a2, where Xi = (ai + a^+i) /√2, [ai, a^+i] = δij. It is remarkable that |z, x〉make up a new quantum mechanical representation.
基金Supported by the National Natural Science Foundation of China under Grant Nos. 10775097 and 10874174
文摘Using the technique of integration within an antinormally ordered product of operators we present a convenient approach for deriving some new operator identities in quantum optics theory. Based on P-representation we also derive a new formula for evaluating photocount distribution.
基金supported by the National Natural Science Foundation of China(Grant Nos.11174114 and 11175113)the Research Foundation of Changzhou Institute of Technology,China(Grant No.YN1007)the Research Foundation of Education Department of Jiangxi Province,China(Grant No.GJJ10097)
文摘By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting distributions for some given light fields. It is found that the pure squeezed state's photon counting distribution is related to the Legendre function, which is a new result.
文摘Using the technique of integration within an ordered product of nonlinear Bose operators and by composing the nonlinear coherent state's over-completeness relation, we construct the corresponding P-representation theory. The generalized P-representation for some nonlinear Bose operators can be established.