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:20260423T024016Z UID:qfarm/1 DESCRIPTION:Title: Ma ny-body invariants from statistical correlations of randomized measurement s\nby Mohammad Hafezi (University of Maryland) as part of Q-FARM Semin ar Series\n\n\nAbstract\nWith the advances of quantum simulators in implem enting various quantum many-body states\, it is important to find efficien t ways to characterize and measure many-body states\, without resorting to full quantum state tomography. Specifically\, in contrast to electronic m aterials\, where the measurements are mainly within the linear-response pa radigm\, quantum simulators offer unique access to the full wave function that inspires novel probing approaches. In this talk\, I discuss how vari ous quantities\, such as entanglement spectrum\, symmetry-protected topolo gical invariants\, and fractional many-body Chern number could be extracte d. In the latter case\, we show how such an invariant can be measured\, us ing a single wave function\, without the knowledge of the Hamiltonian. Thi s should be contrasted to the conventional way\, where on requires a famil y of many-body wave functions parameterized by twist angles in order to ca lculate the Berry curvature. \n\nScience Advance 6\, 3666 (2020)\narxiv 20 05.13543 \narxiv 2005.13677\n LOCATION:https://researchseminars.org/talk/qfarm/1/ END:VEVENT END:VCALENDAR