Emergence of Light Cones in Long-range Interacting Spin Chains Due to Destructive Interference

A new mechanism in long-range interacting Heisenberg spin chains at low temperatures is presented that leads to the emergence of effective entanglement light cones. This mechanism arises from destructive interference among quantum effects that contribute to the entanglement of spins outside an identified light cone. As a result, entanglement remains suppressed in this region, facilitating the formation of effective entanglement light cones. Our analysis reveals that truncating the range of interactions weakens the destructive interference, resulting in an unexpected acceleration of entanglement transport along the chain. This prediction is proposed to be experimentally observable. Our work provides a fresh perspective on the physical mechanism driving the emergence of light cones in long-range interacting quantum systems and offers novel implications for quantum information processing purposes.