Question

1) Compute (Stot) and (Stt tot 2 2) Show that: Stot 2 in the basis I.,W , Ih,%) , 11., , 11.,%)} 3) Suppose that the Hamiltonian for two interacting spins is given by for some interaction strength α. Express the Hamiltonian in the operator, U, in the same basis. basis, and calculate the time evolution 4) If a system begins in the state loo〉-W,%), calculate and then plot the probability for the system to be in the initial state as a function of time 5) Is the time evolving system ever entangled, and if so when? Is it ever separable, and if so when?

Answer 1

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