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TT: Fachverband Tiefe Temperaturen
TT 31: Frustrated Magnets I (joint session MA/TT)
TT 31.10: Vortrag
Dienstag, 10. März 2026, 12:00–12:15, POT/0361
Characterizing entanglement at finite temperature: how does a paramagnet become a quantum spin liquid? — Snigdh Sabharwal1,2, •Matthias Gohlke1, Paul Skrzypczyk2, and Nic Shannon1 — 1Okinawa Institute of Science and Technology, Onna, Japan — 2H. H. Wills Physics Lab., University of Bristol, Bristol, UK
Quantum spin liquids (QSL) are generically many body entangled states of matter that form when quantum fluctuations meet the extensive ground state degeneracy of a classical spin liquid. Entanglement properties have enabled to characterise gapped QSL at zero temperature, however, much less is known about how quantum many body entanglement evolves at finite temperature.
Here, we use entanglement depth and genuine multipartite entanglement (GME) to study how entanglement and its local structure emerge when cooling a frustrated magnet from the high-temperature paramagnet down to the low-temperature QSL state. Within a case study on the Kitaev Honeycomb model, we obtain two characteristic bounds: (1) a lower bound on the upper temperature below which separability breaks and quantum entanglement must be present, while (2) a lower temperature scale is obtained when GME on plaquettes becomes finite signifying the coherent, structured entanglement that is characteristic for QSL ground states [1], i.e. the flux free state of the Kitaev spin liquid. We provide a framework to discuss the relevant temperature scales for QSL in frustrated magnets [2].
[1] L. Lyu, D. Chandorkar, et al., arXiv:2505.18124
[2] S. Sabharwal, M. Gohlke, et al., arXiv:2511.15144
Keywords: Quantum spin liquid; Kitaev honeycomb model; Genuine multipartite entanglement; Semi definite programming