3. Suppose that the Hamiltonian for two interacting spins is given by Ŷ = ħa(ô^ | ô³³), for some interaction strength a.

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3 Suppose That The Hamiltonian For Two Interacting Spins Is Given By Y Ha O O For Some Interaction Strength A 1 (215.14 KiB) Viewed 26 times

3. Suppose that the Hamiltonian for two interacting spins is given by Ŷ = ħa(ô^ | ô³³), for some interaction strength a. Express the Hamiltonian in the z basis, and calculate the time evolution operator, U, in the same basis. 4. If the system of part A3 begins in the state |) = |↓z, ↓z), 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 when? Is it ever separable, and when? [please give reasons for your answe swers.]