We investigate the dynamics of a system that consists of ultra-cold three-level atoms interacting with radiation fields.We derive the analytical expressions for the population dynamics of the system,particularly,in th...We investigate the dynamics of a system that consists of ultra-cold three-level atoms interacting with radiation fields.We derive the analytical expressions for the population dynamics of the system,particularly,in the presence and absence of nonlinear collisions by considering the rotating wave approximation(RWA).We also reanalyze the dynamics of the system beyond RWA and obtain the state vector of the system to study and compare the time behavior of population inversion.Our results show that the system undergoes two pure quantum phenomena,i.e.,the collapse-revival and macroscopic quantum self-trapping due to nonlinear collisional interactions.The occurrence of such phenomena strongly depends on the number of atoms in the system and also the ratio of interaction strengths in the considered system.Finally,we show that the result of the perturbed time evolution operator up to the second-order is in agreement with the numerical solution of the Schrodinger equation.The results presented in the paper may be useful for the design of devices that produce a coherent beam of bosonic atoms known as an atom laser.展开更多
In this paper we present a general theoretical model for the interaction between a number of two-level atoms constituting Bose-Einstein condensate （BEG） and a single-mode quantized field. In addition to the usual in...In this paper we present a general theoretical model for the interaction between a number of two-level atoms constituting Bose-Einstein condensate （BEG） and a single-mode quantized field. In addition to the usual interacting terms, we take into account interatom as well as higher-order atom-field interactions. To simplify the Hamiltonian of system, after using the Bogoliubov approximation we proceed to calculate the transformed operators of atoms and field. Then, to quantify the spontaneous emission, we get analytical expressions for the expectation value of Jz as the atomic population inversion （API）, in the cases of number and coherent states for the atomic subsystem. Our results show that the above-mentioned model interaction leads to the appearance of collapse-revival phenomenon in API. In more detail, the revival time may be tuned by adjusting the interatom interaction constant. Also, the damping process lowers the amplitude of API, but does not change the CR times for weak damping. Moreover, increasing the damping may decrease the number of CRs in a given interval of time such that no revival occurs. Briefly, it may be concluded that in the resonant case the revival times are insensitive to the change of the higher-order atom-field interaction constant and are affected only by the interatom interactions. Finally, we express that, how we can find a practical procedure to measure the quantum states of atoms in BEG.展开更多
文摘We investigate the dynamics of a system that consists of ultra-cold three-level atoms interacting with radiation fields.We derive the analytical expressions for the population dynamics of the system,particularly,in the presence and absence of nonlinear collisions by considering the rotating wave approximation(RWA).We also reanalyze the dynamics of the system beyond RWA and obtain the state vector of the system to study and compare the time behavior of population inversion.Our results show that the system undergoes two pure quantum phenomena,i.e.,the collapse-revival and macroscopic quantum self-trapping due to nonlinear collisional interactions.The occurrence of such phenomena strongly depends on the number of atoms in the system and also the ratio of interaction strengths in the considered system.Finally,we show that the result of the perturbed time evolution operator up to the second-order is in agreement with the numerical solution of the Schrodinger equation.The results presented in the paper may be useful for the design of devices that produce a coherent beam of bosonic atoms known as an atom laser.
文摘In this paper we present a general theoretical model for the interaction between a number of two-level atoms constituting Bose-Einstein condensate （BEG） and a single-mode quantized field. In addition to the usual interacting terms, we take into account interatom as well as higher-order atom-field interactions. To simplify the Hamiltonian of system, after using the Bogoliubov approximation we proceed to calculate the transformed operators of atoms and field. Then, to quantify the spontaneous emission, we get analytical expressions for the expectation value of Jz as the atomic population inversion （API）, in the cases of number and coherent states for the atomic subsystem. Our results show that the above-mentioned model interaction leads to the appearance of collapse-revival phenomenon in API. In more detail, the revival time may be tuned by adjusting the interatom interaction constant. Also, the damping process lowers the amplitude of API, but does not change the CR times for weak damping. Moreover, increasing the damping may decrease the number of CRs in a given interval of time such that no revival occurs. Briefly, it may be concluded that in the resonant case the revival times are insensitive to the change of the higher-order atom-field interaction constant and are affected only by the interatom interactions. Finally, we express that, how we can find a practical procedure to measure the quantum states of atoms in BEG.
