<正> We reveal that the two-variable Hermite function h_(m,n),which is the generalized Bargmann representationof the two-mode Fock state,involves quantum entanglement of harmonic oscillator's wave functions....<正> We reveal that the two-variable Hermite function h_(m,n),which is the generalized Bargmann representationof the two-mode Fock state,involves quantum entanglement of harmonic oscillator's wave functions.The Schmidtdecomposition of h_(m,n),is derived.It also turns out that h_(m,n)can be generated by windowed Fourier transform of thesingle-variable Hermite functions.As an application,the wave function of the two-variable Hermite polynomial stateS(γ)H_(m,n)(μa_1~+,μa_2~+)|00>,which is the minimum uncertainty state for sum squeezing,in<η|representation is calculated.展开更多
文摘<正> We reveal that the two-variable Hermite function h_(m,n),which is the generalized Bargmann representationof the two-mode Fock state,involves quantum entanglement of harmonic oscillator's wave functions.The Schmidtdecomposition of h_(m,n),is derived.It also turns out that h_(m,n)can be generated by windowed Fourier transform of thesingle-variable Hermite functions.As an application,the wave function of the two-variable Hermite polynomial stateS(γ)H_(m,n)(μa_1~+,μa_2~+)|00>,which is the minimum uncertainty state for sum squeezing,in<η|representation is calculated.