Environmental Decoherence Effects in Nanomagnets

Both effects were shown to be the main source of decoherence at very low temperature. At higher temperatures, phonons are another source of decoherence. 

Here Min is the initial magnetization at time / = 0 (after a rapid field change), and Meq (Hz) is the equilibrium magnetization at H,. The rate function rsqrt(7/z) is proportional to the normalized distribution P(HZ) of molecules which are in resonance at Hz 

Hole Digging Method to Study Dipolar Distributions and Hyperfine Couplings 

The entire procedure is then repeated many times but at other fields //frobe yielding rshort (Hz, Hdig, tdig) which is related to the distribution of spins P(HZ, Hdtg, 7dig) that are still free for tunneling after the hole digging. For tA = 0, this method maps out the initial distribution. 

Landau-Zener method can be used to probe the transverse dipolar distribution by measuring the tunnel splittings A around a topological quench. 

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