Excitation and Entanglement Transfer Near Quantum Critical Points
Abstract
We consider analytically and numerically quantum many body systems as quantum channels in the vicinity of their quantum critical point. In our setup two ancillas are weakly coupled to the quantum many body system at different sites, and we study the propagation of an excitation and quantum information from one ancilla to the other. We observe two different scenarios: a slow, but perfect transfer if the gap between the ground state and the first excited state of the system is large and a fast, but un-complete transfer otherwise. We provide a simplified physical model explaining our findings and suggest ways in which they may be employed to detect quantum critical points experimentally.Keywords
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