Abstract
An ultrafast growth dynamics of a quantum domain after visible or near-infrared photoexcitation is discussed in a one-dimensional system that resides on the first-order phase boundary. Special emphasis is placed on the effects of phonon excitations that are expected to occur in the course of the dynamics. To treat such effects as transparently as possible, we incorporate phonon degrees of freedom into a domain model that consists of two fundamental domain degrees of freedom, namely the spatial extension and the center of gravity. An exact time-evolution calculation within a restricted Hilbert space that almost converges the results indicates that the phonon excitations provide appreciable incoherence to the domain growth especially via overall distributions of the domain center-of-gravity momentum over its nonzero values.

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