In some models, dark matter is considered as a condensate bosonic system. In this paper, we prove that condensation is also possible for particles that obey infinite statistics and derive the critical condensation temperature. We argue that a condensed state of a gas of very weakly interacting particles obeying infinite statistics could be considered as a consistent model of dark matter.

The quantum vacuum is unstable under the influence of an external electric field and decays into pairs of charged particles, a process which is known as the Schwinger pair production. We propose and demonstrate that this electric field can generate entanglement. Using the Schwinger pair production for constant and pulsed electric fields, we study entanglement for scalar particles with zero spins and Dirac fermions. One can observe the variation of the entanglement produced for bosonic and fermionic modes with respect to different parameters.

Quantum teleportation is studied in noninertial frame, for fermionic case, when Alice and Bob share a general nonclassical correlated state. In noninertial frames two fidelities of teleportation are given. It is found that the average fidelity of teleportation from a separable and nonclassical correlated state is increasing with the amount of nonclassical correlation of the state. However, for any particular nonclassical correlated state, the fidelity of teleportation decreases by increasing the acceleration.

Pair particle creation is a well-known effect in the domain of field theory in curved space-time. The behavior of the generated entanglement due to expanding universe is very different for spin-0 and spin-1/2 particles. We study spin-1 particles in Friedmann-Robertson-Walker (FRW) space-time using Duffin-Kemmer-Petiau equation and spin-3/2 particles in FRW space-time using Rarita-Schwinger equation. We find that in expanding universe, the behavior of the generated entanglement for spin-1 particles is the same as the behavior of the generated entanglement for spin-0 particles. Also, we find that spin-3/2 and spin-1/2 particles have the same behavior for the generated entanglement in expanding universe. We conclude that the absolute values of spins do not play any role and the differences in the behavior of the generated entanglement in expanding universe are due to bosonic or fermionic properties.