Eight orders of magnitude discrepancy is a strong challenge for quantum field theory.
It is our aim to reproduce the observation of apparent insensitivity of the
system state to the effects of the environment and to provide an understanding
of this phenomenon. We suggest a quantum field theoretical approach to a local
system of 4 qubits entangled to different environmental excitations. The solution
of Schrödinger's time dependent equation for the 4 qubit system, isolated from
the environment, shows a coherent time development on the global ground state potential
if the transverse magnetic fields, acting on the qubits, vary slowly with time.
However fast changes, especially in the time domain of avoided crossing between
the lowest and first excited states, lead to Landau-Zener transitions and drive
the system diabatically into an excited state. Entanglement to phonons in 3+1
spacetime does lead to chaotic spin flip, which is a result of the time dependent
Schrödinger equation. Entanglement of the local qubits to soft environmental
modes has yet to be studied.