topological orders (IMAGE) The University of Hong Kong Caption Distinguishing the topological orders and trivial phases by designed measurements. Illustration: Phase transitions between QSLs and the PM phase. Data along the QSL–PM–QSL path, indicated by the dashed line at V = 0.9 in Fig. 2. (a) The energy density is smooth with increasing µ. (b) The polarization Mx reveals the first-order phase transition between the PM phase and the two Z2 QSLs. (c) The dimer filling changes continuously in the PM phase, and the filling also exhibits a first-order phase transition between the PM phase and QSLs. (d) The string operator is zero in the trivial PM phase but positive (negative) in the even (odd) Z2 QSL. Credit The University of Hong Kong Usage Restrictions N/A License Original content Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert system.