Abstract
We investigate the dissipative properties of a quantum particle which can tunnel among four equivalent sites on a plane. Our four-state system model is of experimental relevance to probe the quantum properties of H or D being trapped by substitutional Zr in Nb. Upon performing a unitary transformation, the problem is reduced to that of effective spin-boson systems. Numerical and analytical results for the population dynamics of the four localized states are obtained. Intriguing dissipation-assisted quantum coherent oscillations are predicted to occur even for strong damping.
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