By the method of coherent-state orthogonalization expansion,the atomic inversion and the anti-bunching effect in a two-level atomic system interacting with binomial state field are studied under the Jaynes-Cummings mo...By the method of coherent-state orthogonalization expansion,the atomic inversion and the anti-bunching effect in a two-level atomic system interacting with binomial state field are studied under the Jaynes-Cummings model without rotating wave approximation.The influence of the parameter and the detuning on the anti-bunching effect are discussed,and the anti-bunching effect is also discussed under the conditions of strong coupling.Our studies show that the second order coherence degrees are quite different between the situations of with and without-rotating wave approximation.For the latter when the detuning increases,the duration of the bunching effect increases at the beginning and then decreases,and finally the light field displays anti-bunching effect completely.展开更多
A new approach-the method of coherent state orthogonal expansion is developed for one-dimensional Holstein model. In zeroth order approximation, the formula of ground state energy is deduced analytically and the solut...A new approach-the method of coherent state orthogonal expansion is developed for one-dimensional Holstein model. In zeroth order approximation, the formula of ground state energy is deduced analytically and the solutions in strong- and weak-coupling limits are obtained correctly. When the trial wave-function of ground state is expanded to the second order, the obtained ground state energy agrees quite well with that calculated by numerical method in all coupling regimes. The present approach can be easily generalized to the situations of higher dimensions and more electrons.展开更多
Applying the method of coherent state orthogonal expansion, we expand the trial wave functions of ground state to the third order. We find that the ground state energy of the system decreases with the increase of expa...Applying the method of coherent state orthogonal expansion, we expand the trial wave functions of ground state to the third order. We find that the ground state energy of the system decreases with the increase of expansion orders. Especially, at the zeroth order approximation, the probability distribution of the electron at different sites exhibits a soliton peak. However, the probability distribution of the electron at each site becomes identical, when we expand the trial wave functions of ground state to the higher orders.展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 1097602/A06)
文摘By the method of coherent-state orthogonalization expansion,the atomic inversion and the anti-bunching effect in a two-level atomic system interacting with binomial state field are studied under the Jaynes-Cummings model without rotating wave approximation.The influence of the parameter and the detuning on the anti-bunching effect are discussed,and the anti-bunching effect is also discussed under the conditions of strong coupling.Our studies show that the second order coherence degrees are quite different between the situations of with and without-rotating wave approximation.For the latter when the detuning increases,the duration of the bunching effect increases at the beginning and then decreases,and finally the light field displays anti-bunching effect completely.
基金Supported by the Natural Science Foundation of Sichuan Province of China(Grant No. 2006C028)
文摘A new approach-the method of coherent state orthogonal expansion is developed for one-dimensional Holstein model. In zeroth order approximation, the formula of ground state energy is deduced analytically and the solutions in strong- and weak-coupling limits are obtained correctly. When the trial wave-function of ground state is expanded to the second order, the obtained ground state energy agrees quite well with that calculated by numerical method in all coupling regimes. The present approach can be easily generalized to the situations of higher dimensions and more electrons.
基金Supported by the Natural Science Foundation of Sichuan Province, China (Grant No. 2006C028)
文摘Applying the method of coherent state orthogonal expansion, we expand the trial wave functions of ground state to the third order. We find that the ground state energy of the system decreases with the increase of expansion orders. Especially, at the zeroth order approximation, the probability distribution of the electron at different sites exhibits a soliton peak. However, the probability distribution of the electron at each site becomes identical, when we expand the trial wave functions of ground state to the higher orders.
