Entanglement-Thermodynamical Study of Quantum Energy Teleportation in One-Dimensional Heisenberg Model

We study the quantum energy teleportation in one-dimensional Heisenberg model under the open boundary condition. A local magnetic field is applied at the edge sites to control the degree of the ground-state entanglement. In the teleportation protocol, Alice performs a projective measurement at one edge site, while Bob performs a feedback control at the other edge dependent on the Alice's measurement result to extract energy. We find that the energy extracted by Bob takes a maximum at intermediate value of the local magnetic field. We also find that this magnetic-field behavior is almost proportional to information-entropy changes due to the Bob's feedback control. The role of a feedback control in an entropy change is discussed in term of entanglement thermodynamics.