Visualizing elusive phase transitions with geometric entanglement

Details Visualizing elusive phase transitions with geometric entanglement Visualizing elusive phase transitions with geometric entanglement

2009-10-13

arxiv.org/abs/0910.2488v3

Phys. Rev. B 82, 155120 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 5 figures, revised version, accepted for publication in PRB

Scientific paper

We show that by examining the global geometric entanglement it is possible to identify "elusive" or hard to detect quantum phase transitions. We analyze several one-dimensional quantum spin chains and demonstrate the existence of non-analyticities in the geometric entanglement, in particular across a Kosterlitz-Thouless transition and across a transition for a gapped deformed Affleck-Kennedy-Lieb-Tasaki chain. The observed non-analyticities can be understood and classified in connection to the nature of the transitions, and are in sharp contrast to the analytic behavior of all the two-body reduced density operators and their derived entanglement measures.

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