BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Nonequilibrium quantum and statistical physics - ECPv4.9.9//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Nonequilibrium quantum and statistical physics X-ORIGINAL-URL:https://chaos.fmf.uni-lj.si X-WR-CALDESC:Events for Nonequilibrium quantum and statistical physics BEGIN:VTIMEZONE TZID:Europe/Ljubljana BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:20190331T010000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:20191027T010000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=Europe/Ljubljana:20190115T140000 DTEND;TZID=Europe/Ljubljana:20190115T160000 DTSTAMP:20240329T155856 CREATED:20190111T105124Z LAST-MODIFIED:20190111T105124Z UID:868-1547560800-1547568000@chaos.fmf.uni-lj.si SUMMARY:Tony Jin: Equilibrium Fluctuations in Maximally Noisy Extended Quantum Systems DESCRIPTION:I will introduce and study a class of models of free fermions hopping between neighbouring sites with random Brownian amplitudes. These simple models describe stochastic\, diffusive\, quantum\, unitary dynamics. I focus on periodic boundary conditions and derive the complete stationary distribution of the system. It is proven that the generating function of the latter is provided by the Harish-Chandra-Itzykson-Zuber integral which allows us to access all fluctuations of the system state. The steady state is characterized by non trivial correlations which have a topological nature. In the thermodynamic large system size limit\, the system approaches a non random equilibrium state plus occupancy and coherence fluctuations of magnitude scaling proportionally with the inverse of the square root of the volume. The large deviation function for those fluctuations is determined. Although decoherence is effective on the mean steady state\, we observe that sub-leading fluctuating coherences are dynamically produced from the inhomogeneities of the initial occupancy profile. \n* Tony Jin\, LPT ENS Paris \n URL:https://chaos.fmf.uni-lj.si/event/tony-jin-equilibrium-fluctuations-in-maximally-noisy-extended-quantum-systems/ LOCATION:Kuščerjev seminar\, Fakulteta za matematiko in fiziko UL\, Jadranska 19\, Ljubljana\, Slovenia END:VEVENT END:VCALENDAR