16 Apr 2002 | A. Osterloh(1), L. Amico(1), G. Falci(1), & R. Fazio(2)
This letter explores the entanglement properties near a quantum phase transition in one-dimensional magnetic systems. The authors analyze the concurrence, a measure of entanglement, for a class of exactly solvable models. They find that entanglement exhibits scaling behavior near the critical point, with the correlation length diverging at the phase transition, while entanglement remains short-ranged. This distinction highlights the unique nature of quantum correlations compared to classical correlations. The study uses the Ising model and a modified XY model to demonstrate that the entanglement between spins in these systems scales with the system size and the distance from the critical point. The results support the universality hypothesis and provide insights into the quantum aspects of phase transitions, which are crucial for quantum information and computation. The findings have implications for understanding the behavior of entanglement in quantum systems and could be useful for designing quantum computing protocols.This letter explores the entanglement properties near a quantum phase transition in one-dimensional magnetic systems. The authors analyze the concurrence, a measure of entanglement, for a class of exactly solvable models. They find that entanglement exhibits scaling behavior near the critical point, with the correlation length diverging at the phase transition, while entanglement remains short-ranged. This distinction highlights the unique nature of quantum correlations compared to classical correlations. The study uses the Ising model and a modified XY model to demonstrate that the entanglement between spins in these systems scales with the system size and the distance from the critical point. The results support the universality hypothesis and provide insights into the quantum aspects of phase transitions, which are crucial for quantum information and computation. The findings have implications for understanding the behavior of entanglement in quantum systems and could be useful for designing quantum computing protocols.