BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mohammad Hafezi (University of Maryland) DTSTART:20200617T190000Z DTEND:20200617T200000Z DTSTAMP:20260404T095827Z UID:qfarm/1 DESCRIPTION:Title: Many-body invariants from statistical correlations of randomized meas urements\nby Mohammad Hafezi (University of Maryland) as part of Q-FAR M Seminar Series\n\n\nAbstract\nWith the advances of quantum simulators in implementing various quantum many-body states\, it is important to find e fficient ways to characterize and measure many-body states\, without resor ting to full quantum state tomography. Specifically\, in contrast to elect ronic materials\, where the measurements are mainly within the linear-resp onse paradigm\, quantum simulators offer unique access to the full wave fu nction that inspires novel probing approaches. In this talk\, I discuss h ow various quantities\, such as entanglement spectrum\, symmetry-protected topological invariants\, and fractional many-body Chern number could be e xtracted. In the latter case\, we show how such an invariant can be measur ed\, using a single wave function\, without the knowledge of the Hamiltoni an. This should be contrasted to the conventional way\, where on requires a family of many-body wave functions parameterized by twist angles in orde r to calculate the Berry curvature. \n\nScience Advance 6\, 3666 (2020)\na rxiv 2005.13543 \narxiv 2005.13677\n LOCATION:https://stable.researchseminars.org/talk/qfarm/1/ END:VEVENT END:VCALENDAR