Abstract
Strategies to protect multi-qubit states against decoherence are difficult to formulate because of their complex many-body dynamics. A better knowledge of the decay dynamics would help in the construction of dynamical decoupling control schemes. Here we use solid-state nuclear magnetic resonance techniques to experimentally investigate decay of coherent multi-spin states in linear spin chains. Leveraging on the quasi-one-dimension geometry of fluorapatite crystal spin systems, we can gain a deeper insight on the multi-spin states created by the coherent evolution, and their subsequent decay, than it is possible in three-dimensional (3D) systems. We are then able to formulate an analytical model that captures the key features of the decay. We can thus compare the decoherence behavior for different initial states of the spin chain and link their decay rate to the state characteristics, in particular their coherence and long-range correlation among spins. Our experimental and theoretical study shows that the spin chains undergo a rich dynamics, with a slower decay rate than for the 3D case, and thus might be more amenable to decoupling techniques.
Highlights
Strategies to protect multi-qubit states against decoherence are difficult to formulate because of their complex many-body dynamics
We first studied the decay of multiple quantum coherences (MQC) intensities created under HDQ starting from an initial thermal state
In this paper we investigated the dependence of decoherence rate on the state characteristics of a many-spin system
Summary
Strategies to protect multi-qubit states against decoherence are difficult to formulate because of their complex many-body dynamics. As a result we can study how the decay rate changes with the state characteristics, such as long-range correlations in extended spin clusters and their degree of coherence. This is important in light of recent work in creating low-dimensional systems in ion-traps [18], or via Hamiltonian engineering [19] in crystals. This leads us to a better insight into the decay rate dependence on the state characteristics that we further explore in section 4 by experimentally studying a diverse set of states
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