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Квантовые вычисления и атом-полевые перепутанные состояния в модели типа Джейнса-Каммингса

Русакова Маргарита Сергеевна, Eugene K. Bashkirov

Published Jan 1, 2013• 0 citations
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Abstract

Atom-field entanglement in two-atom system in different initial states in Jay-nes-Cummings model with degenerate two photon transition with dependant from intensity of the field of parameter of atom-field interaction is considered. It is shown that consideration of discontency of parameter of atom-field interaction for some initial states of atoms leads to damping or collapse of instant death of entanglement effect and changes of disentanglement time.

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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jan 29, 2014•1 citation
Atom-field entanglement in two-atom system in different initial states in Jay-nes-Cummings model with degenerate two photon transition with dependant from intensity of the field of parameter of atom-field interaction is considered. It is shown that consideration of discontency of parameter of atom-field interaction for some initial states of atoms leads to damping or collapse of instant death of entanglement effect and changes of disentanglement time.
An exact solution of the problem of two two level atoms with degenerate two photon transitions interacting with one mode coherent radiation field is presented. Asymptotic solutions for system state vectors are obtained in the approximation of large initial coherent fields. The atom field entanglement is investigated on the basis of the reduced atomic entropy dynamics. The possibility of the system being initially in a pure disentangled state to revive into this state during the evolution process for model considered is shown. Conditions and times of disentanglement are derived.
В рамках двухатомной вырожденной двухфотонной модели Джейнса- Каммингса исследовано временная динамика атом-атомного перепутывания для сепарабельных и перепутанных начальных состояний атомов и теплового состояния резонаторного поля. Показано, что для сепарабельного начального атомного состояния атомное перепутывание существенно возрастает за счет наличия динамического штарковского сдвига. Для перепутанных начальных состояний атомов наличие штарковского сдвига приводит к уменьшению амплитуд осцилляций параметра перепутывания и к стабилизации атомного перепутывания. Considering two-atom degenerate two-photon Jaynes-Cummings model, we investigate the entanglement between two atoms prepared initially in the separable or entangled states and the cavity field prepared in a thermal state, and study the effect of the Stark shift on entanglement. The results show that for separable initial atomic state the atom-atom entanglement can be greatly enhanced due to the presence of Stark shift. For entangled initial atomic state the Stark shift reduces the amplitudes of entanglement oscillations and stabilizes the atom-atom entanglement.
An exact solution of the problem of two two-level atoms with nondegenerate two-photon transitions and intensitydependent coupling interacting with two-mode radiation field is presented. Asymptotic solution for system state vector is obtained in the approximation of large initial coherent fields. The atom-field entanglement is investigated on the basis of the reduced atomic entropy dynamics. The possibility of the system being initially in a pure disentangled state to revive into this state during the evolution process is shown. Conditions and times of disentanglement are derived.