Decoherence-induced continuous pointer states

Blanchard P, Olkiewicz R. Decoherence-induced continuous pointer states. PHYSICAL REVIEW LETTERS. 2003;90(1): 10403.We investigate the reduced dynamics in the Markovian approximation of an infinite quantum spin system linearly coupled to a phonon field at positive temperature. The achieved diagonalization leads to a selection of the continuous family of pointer states corresponding to a configuration space of the one-dimensional Ising model. Such a family provides a mathematical description of an apparatus with continuous readings