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<p class="MsoNormal"><span style="font-family:"Times New Roman",serif">Please join us for a Special CMT Seminar presented by Ying Ran, Boston College on Monday, April 25th at 11:30am in 1080 Smith Seminar Room<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Times New Roman",serif"><o:p> </o:p></span></p>
<p class="MsoNormal" style="background:white"><span style="font-family:"Times New Roman",serif">"</span><span style="font-size:10.5pt;font-family:"Arial",sans-serif;color:#222222">Symmetric tensor networks--- algorithms to sharply identify classes of quantum
phases distinguishable by short-range physics</span><span style="font-family:"Times New Roman",serif">"<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-family:"Times New Roman",serif">Abstract: Phases of matter are sharply defined in the thermodynamic limit. One major challenge of accurately simulating phase diagrams of interacting quantum systems is due to the fact that
numerical simulations usually deal with the energy density, a local observable, while identifying different quantum phases generally rely on long-range physics. In this talk we discuss constructions of generic fully symmetric quantum wave functions under certain
assumptions, using a type of tensor networks: projected entangled pair states, and provide practical simulation algorithms based on them. We find that different quantum phases can be organized into crude classes distinguished by short-range physics, which
is related to, but not limited to, the fractionalization of both on-site symmetries and space-group symmetries. Consequently, our simulation algorithms, which are useful to study long-range physics as well, are expected to be able to sharply determine crude
classes in interacting quantum systems efficiently. Examples of these crude classes, limitations and generalizations of our results are discussed.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Times New Roman",serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Times New Roman",serif">Thank you,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:"Times New Roman",serif">Eric<o:p></o:p></span></p>
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