Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo Study
Journal
Physical Review Letters
Journal Volume
125
Journal Issue
14
Date Issued
2020
Author(s)
Wu K.-H., Lu T.-C., Chung C.-M., Kao Y.-J., Grover T.
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. ? 2020 American Physical Society.
Subjects
Ising model; Monte Carlo methods; Correlation lengths; Exactly solvable model; Finite temperatures; Finite-temperature transition; Quantum Monte Carlo simulations; Statistical errors; Thermal fluctuations; Transverse-field Ising model; Quantum entanglement; article; Monte Carlo method; phase transition
Type
journal article