Muzaffar Q. Lone, Amit Dey, Sudhakar Yarlagadda
We study decoherence in an infinite range Heisenberg model (IRHM) in the two situations where the system is coupled to a bath of either local optical phonons or global optical phonons. Using a non-perturbative treatment, we derive an effective Hamiltonian that is valid in the regime of strong spin-phonon coupling and under non-adiabatic conditions. It is shown that the effective Hamiltonian commutes with the IRHM and thus has the same eigenstates as the IRHM. By analyzing the dynamics of the system using a non-Markovian quantum master equation approach, we show that the eigenstates of the IRHM are robust against interaction of the spins with both local and global phonons and represent a new class of decoherence free states.
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http://arxiv.org/abs/1205.4093
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