2 Competing Quibits, Von neumann entropy. Need help understanding it.
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I am simulating a 2-Quibit closed system with H = ( J * np.kron(sx, sx) + hx1 * np.kron(sz, I) + hx2 * np.kron(I, sz) ) Psi = plus kron zero the interaction tries to align spin along x local fields tryna align spin along z Then i plotted the von neumann entropy of the subsytem A by tracing over B w.r.t the Time steps as seen in the graph I get the oscillations, but why is it acting like this. Pretty sure the density matrix cant be reduces into simple clean terms like "1+cos2Jt" term in the case of sigmaz kron sigmaz. But how could i study this graph, someone suggested to me to look at the interaction picture(hamiltonian picture and schrodinger picture combined. H= H_0+H_t or something like this) I want to get a better understand why it is acting like it is, because i simple put the competing quibit hamiltonian into my normal H= sigmaz kron sigmaz quibit system and got blown away. I am curious and i am going to use this on my paper reading competition on 24th. So i NEED help as this is my first ever quantum computing project, i am a 2nd year undergrad https://preview.redd.it/u3iczzuac3lg1.png?width=567&format=png&auto=webp&s=1526ad5a393f290c3c64d0ae3a216925dcf72e7d submitted by /u/l_ItzPanda_l [link] [comments]