An exact algebric solution of Jaynes-Cummings model

Abstract

Abstract:

Based on the SU(2) group structure of the Jaynes-Cummings model, we have obtained its time evolution operator by using the algebraic method. As an application of the solution, the exact result of the state of the system evoluting with time at any given time in the condition that the initial state of the system is was given. Then, the probability of finding the atom in excited state at time was obtained in the condition that the initial state of the system is . The superiority of the solution was discussed lastly.

Key words: quantum optics, Jaynes-Cummings model, SU(2) group structure, time evolution operator

CLC Number:

O432.2

HE Rui. An exact algebric solution of Jaynes-Cummings model[J]. J4, 2012, 29(6): 729-734.

References

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