BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Namit Anand (USC) DTSTART:20201124T180000Z DTEND:20201124T191500Z DTSTAMP:20260423T024831Z UID:USC-HET/10 DESCRIPTION:Title: Quantum coherence as a signature of chaos\nby Namit Anand (USC) as pa rt of USC High Energy Theory Seminars\n\nLecture held in Zoom. (Normally) SSC 319 on University Park Campus (USC).\n\nAbstract\nBased on Ref. [1]: W e establish a rigorous connection between quantum coherence and quantum ch aos by employing coherence measures originating from the resource theory f ramework as a diagnostic tool for quantum chaos. We quantify this connecti on at two different levels: quantum states and quantum channels. At the le vel of states\, we show how several well-studied quantifiers of chaos are\ , in fact\, quantum coherence measures in disguise (or closely related to them). We further this connection for all quantum coherence measures by us ing tools from majorization theory. Then\, we numerically study the cohere nce of chaotic-vs-integrable eigenstates and find excellent agreement with random matrix theory in the bulk of the spectrum. At the level of channel s\, we show that the coherence-generating power (CGP) -- a measure of how much coherence a dynamical process generates on average -- emerges as a su bpart of the out-of-time-ordered correlator (OTOC)\, a measure of informat ion scrambling in many-body systems. Via numerical simulations of the (non integrable) transverse-field Ising model\, we show that the OTOC and CGP c apture quantum recurrences in quantitatively the same way. Moreover\, usin g random matrix theory\, we analytically characterize the CGP-OTOC connect ion for the Haar and Gaussian ensembles. In closing\, we remark on how our coherence-based signatures of chaos relate to other diagnostics\, namely the Loschmidt echo\, OTOC\, and the Spectral Form Factor.\n\nZoom meeting info:\n\nMeeting ID: 945 2045 7223\n\nPasscode: 869242\n\n(You will briefl y enter a waiting room. Participants showing a full name will be admitted. )\n\nZoom meeting info:\nMeeting ID: 945 2045 7223\nPasscode: 869242\n\n(Y ou will briefly enter a waiting room. Participants showing a full name wil l be admitted.)\n LOCATION:https://researchseminars.org/talk/USC-HET/10/ END:VEVENT END:VCALENDAR