Abstract
The discrete lattice formalism is applied to study the time evolution of free scalar field in spatially flat Robertson-Walker space-time. Using the evolution operator method, we obtain the exact form of the time evolution operator of the system which, in turn, enables us to find the exact wave functions readily. It is found that the time evolution operator is a direct product of single-mode squeeze operators, and thus the initial vacuum state evolves into a direct product of single-mode squeezed vacuum states at a later time. In other words, the time evolution of free scalar field in spatially flat Robertson-Walker space-time is a collective single-mode "squeezing" process.
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