A two-level system has a Hamiltonian matrix

at time t.

(b) What is the probability to be in the state |1) at time t = 0? At time t? For simplicity, assume that = 1.

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3 4i -4i -3. 4/12) = (-41 H2,1 H2,2 where, for example, H,2 = (1||2). The density matrix at time t = 0 is P1,1 (0) (a) Find the density matrix (P21(0) P2(0)) = (68). (P1.1(1) P1.2(1)) P2.1(1) P2,2(1)