Decoherence of entangled kaons and its connection to entanglement measures
Reinhold A. Bertlmann, Katharina Durstberger, Beatrix C. Hiesmayr
Abstract
We study the time evolution of the entangled kaon system by considering the Liouville - von Neumann equation with an additional term which allows for decoherence. We choose as generators of decoherence the projectors to the 2-particle eigenstates of the Hamiltonian. Then we compare this model with the data of the CPLEAR experiment and find in this way an upper bound on the strength \lambda of the decoherence. We also relate \lambda to an effective decoherence parameter \zeta considered previously in literature. Finally we discuss our model in the light of different measures of entanglement, i.e. the von Neumann entropy S, the entanglement of formation E and the concurrence C, and we relate the decoherence parameter \zeta to the loss of entanglement: 1 - E.