MIT 5 74 - Time development of a coupled two level system (2 pages)

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Time development of a coupled two level system



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Time development of a coupled two level system

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Lecture Notes


Pages:
2
School:
Massachusetts Institute of Technology
Course:
5 74 - Introductory Quantum Mechanics II

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MIT OpenCourseWare http ocw mit edu 5 74 Introductory Quantum Mechanics II Spring 2009 For information about citing these materials or our Terms of Use visit http ocw mit edu terms Time development of a coupled two level system The Hamiltonian for this case is Given that you start in state a what is the time dependent probability of ending up in state b Frequency splitting Rabi frequency Define a time grid 1 2 2 V V P t V V2 V2 2 Note here I have expressed energy as inverse time E hbar i 0 500 i sin V t 2 i 50 Calculate probabilities for different values of the coupling V 0 1 0 5 1 5 i P1 P 5 i P1 0 8 P2 0 6 i P3 P 0 5 1 2 P2 P 1 i i i i P3 0 4 P4 0 2 0 0 3 0 1 0 08 P3 P4 0 06 0 04 0 02 0 0 1 2 P4 P 0 1 3 i



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