Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 94: Correlated Electrons: Other Theoretical Topics
TT 94.10: Vortrag
Donnerstag, 15. März 2018, 17:45–18:00, H 3010
Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks — •Younes Javanmard1, Daniele Trapin1, Soumya Bera1,2, Jens. H Bardarson1,3, and Markus Heyl1 — 1MPIpks, Dresden, Germany — 2Indian Institute of Technology Bombay, Mumbai, India — 3KTH Royal Institute of Technology, Stockholm, Sweden
Entanglement has developed into an essential concept for the characterization of quantum many-body phases and phase transition in the ground state. However, the conventional approach using the entanglement entropy faces a challenge for thermal states where it loses its status as an entanglement measure. In this work, we study the entanglement properties of the transverse-field Ising chain using the logarithm negativity, which remains a valid entanglement measure also for mixed states. Specifically, we investigate the logarithm negativity for two disjoint blocks as a function of their separation. In this way, we obtain information on the spatial structure of entanglement. In particular, we find a sharp entanglement threshold as a function of the distance of the two blocks beyond which the logarithm negativity exactly vanishes, indicating that beyond this critical distance the two blocks become unentangled as measured by the logarithm negativity. We explore this feature as a function of temperature and size of the two blocks and thereby map out the spatial structure of entanglement in the transverse-field Ising chain.