Entanglement Structures in Scalar Field Theory and Associated Theories*

Entanglement plays a crucial role in understanding many of the phenomena associated with many-body physics and field theories, particularly in regards to simulation. An important aspect of simulation is understanding the amount of distillable entanglement contained in the ground state of these systems. One measure of entanglement that provides an upper bound to the distillable entanglement is the logarithmic negativity (LN). The LN detects entanglement in mixed states and it's easy to calculate. For two disjoint regions in a harmonic chain, there is a separation distance at which a sudden death of negativity occurs and the regions become separable. Using techniques from conformal field theory (CFT) and the quantum information of continuous variable systems, we explore this phenomena and other nonperturbative physics associated with entanglement in bosonic field theories.