Entanglement and relative phase created by decay
Gerard Nienhuis · Journal of Physics A Mathematical and General · 2001
We discuss an exactly solvable model for the creation of entanglement between two subsystems by the observation of decay products. The system consists of two identical decaying boson modes, and the decay channels are observed through a beam splitter. For a reasonable class of initial states the decay process is completely decoupled from the buildup of the relative phase. Exact expressions are derived for the distribution over the two output channels, and for the conditional density matrix after a given detection history.