We use Lewis Riesenfeld invariant approach to treat the modified Jaynes-Cummings models involving any forms of nonlinearty of the bosonic field when strong boson-fermion couplings are nilpotent Grassmann valued. The g...We use Lewis Riesenfeld invariant approach to treat the modified Jaynes-Cummings models involving any forms of nonlinearty of the bosonic field when strong boson-fermion couplings are nilpotent Grassmann valued. The general state functions, time evolution operator and the time-evolution expressions for both the bosonic number and the fermionic number are presented.展开更多
The entanglement dynamics of two stretching vibrations in theoretically typical local- and normal-mode molecules and realistic molecules H2 O and SO2 in an algebraic model is studied in terms of the reduced-density li...The entanglement dynamics of two stretching vibrations in theoretically typical local- and normal-mode molecules and realistic molecules H2 O and SO2 in an algebraic model is studied in terms of the reduced-density linear entropy with initial entangled states taken to be two-mode squeezed vacuum states. It is shown that the behaviour of the entropy in theoretically typical molecules appears to be more regular than that in realistic ones, and that the entropy becomes irregular as the amplitude of two-mode squeezed vacuum states increases. For initial states with a small amplitude, it is demonstrated that the periodicity and the “classical” beat phenomenon of the entropy occur with the beat in theoretically typical molecules being more regular than that in realistic molecules H2O and SO2.展开更多
In Jaynes-Cummings model,by using the modulation of the coupling coefficient formed by the atom,medium and scattering optical,atomic inversion evolution of arbitrary forms has been worked out.Its feasibility has been ...In Jaynes-Cummings model,by using the modulation of the coupling coefficient formed by the atom,medium and scattering optical,atomic inversion evolution of arbitrary forms has been worked out.Its feasibility has been proved,and the curvature of the atomic inversion evolution of the arbitrary forms is obtained.It announces that the atom and coupling medium system are to express the operators of the atom and optical field quantum in Jaynes-Cummings model.These operators can express arbitrary medium system.In these systems,the coupling coefficient can be changed and exactly controlled in the longer coherent times.展开更多
基金The project supported by the Natural Science Foundation of Education Department of Sichuan Province under Grant No. 2004A156 and the Scientific Research Foundation of CUIT under Grant No. CSRF200301, 200404
文摘We use Lewis Riesenfeld invariant approach to treat the modified Jaynes-Cummings models involving any forms of nonlinearty of the bosonic field when strong boson-fermion couplings are nilpotent Grassmann valued. The general state functions, time evolution operator and the time-evolution expressions for both the bosonic number and the fermionic number are presented.
基金Supported by the National Natural Science Foundation of China Grant Nos 10675050 and 10475082.
文摘The entanglement dynamics of two stretching vibrations in theoretically typical local- and normal-mode molecules and realistic molecules H2 O and SO2 in an algebraic model is studied in terms of the reduced-density linear entropy with initial entangled states taken to be two-mode squeezed vacuum states. It is shown that the behaviour of the entropy in theoretically typical molecules appears to be more regular than that in realistic ones, and that the entropy becomes irregular as the amplitude of two-mode squeezed vacuum states increases. For initial states with a small amplitude, it is demonstrated that the periodicity and the “classical” beat phenomenon of the entropy occur with the beat in theoretically typical molecules being more regular than that in realistic molecules H2O and SO2.
基金Natural Science Basic Research Project for Education Depart ment of Henan Province(2007140010)
文摘In Jaynes-Cummings model,by using the modulation of the coupling coefficient formed by the atom,medium and scattering optical,atomic inversion evolution of arbitrary forms has been worked out.Its feasibility has been proved,and the curvature of the atomic inversion evolution of the arbitrary forms is obtained.It announces that the atom and coupling medium system are to express the operators of the atom and optical field quantum in Jaynes-Cummings model.These operators can express arbitrary medium system.In these systems,the coupling coefficient can be changed and exactly controlled in the longer coherent times.
