Kicked Top — Quantum Chaos & Entanglement
Husimi Q-function, Poincaré sections, and entanglement entropy vs chaos parameter
Parameters
Kick strength κ
3.0
Tilt angle α
π/2
Spin j
15
Steps
5
Reset State
Kicked Top Hamiltonian:
H = α·Jy + κ/(2j)·Jz²·Σδ(t-n)
Floquet unitary:
U = exp(-iα·Jy) exp(-iκ·Jz²/2j)
Entanglement S =
—
Step:
—
κ<2: regular | κ>5: chaotic
Husimi Q-function (Bloch sphere projection)
Entanglement Entropy vs Step (bipartition j/2 + j/2)