Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo study

Wu, Kai-Hsin; Lu, Tsung-Cheng; Chung, Chia-Min; Kao, Ying-Jer und Grover, Tarun (2020): Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo study. In: Physical Review Letters, Bd. 125, Nr. 14, 140603

Abstract

Quantum entanglement is fragile to thermal fluctuations, which raises the question whether finite temperature phase transitions support long-range entanglement similar to their zero temperature counterparts. Here we use quantum Monte Carlo simulations to study the third Renyi negativity, a generalization of entanglement negativity, as a proxy of mixed-state entanglement in the 2D transverse field Ising model across its finite temperature phase transition. We find that the area-law coefficient of the Renyi negativity is singular across the transition, while its subleading constant is zero within the statistical error. This indicates that the entanglement is short-range at the critical point despite a divergent correlation length. Renyi negativity in several exactly solvable models also shows qualitative similarities to that in the 2D transverse field Ising model.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0031-9007
• Sprache: Englisch