https://scholars.lib.ntu.edu.tw/handle/123456789/575271
Title: | Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo Study | Authors: | Wu K.-H., Lu T.-C., Chung C.-M., Kao Y.-J., Grover T. YING-JER KAO |
Keywords: | 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 | Issue Date: | 2020 | Journal Volume: | 125 | Journal Issue: | 14 | Source: | Physical Review Letters | 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. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85093365616&doi=10.1103%2fPhysRevLett.125.140603&partnerID=40&md5=f97297379d66070cce549942d002411b https://scholars.lib.ntu.edu.tw/handle/123456789/575271 |
ISSN: | 319007 | DOI: | 10.1103/PhysRevLett.125.140603 |
Appears in Collections: | 物理學系 |
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