BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yu. A. Nosal DTSTART:20240906T093000Z DTEND:20240906T100000Z DTSTAMP:20260423T040007Z UID:QOART/25 DESCRIPTION:Title: D ynamics of moments of higher orders in exactly solvable models of the theo ry of open quantum systems\nby Yu. A. Nosal as part of Quantum Optics and Related Topics\n\n\nAbstract\nIn this work we consider quantum master equations for which the dynamics can be obtained explicitly. A Leibniz-typ e formula has been derived which allows one to compute the action of the c onjugate Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) generator on the pro duct of the creation and annihilation operators\, up to higher orders. Als o\, the Heisenberg equations for arbitrary moments of higher orders of the birth and annihilation operators in the case of a generator in the form o f GKSL quadratic in terms of the bosonic creation and annihilation operato rs have been obtained in explicit form. Moreover\, solutions of such equat ions in the case of time-dependent coefficients have been obtained. In add ition\, the Isserlis-Wick theorem was proved in the notations used in the paper and the consistency of the results obtained earlier with the theorem was demonstrated. On the basis of the Heisenberg equations obtained in th e paper\, analogous equations were derived for the quantum master equation arising after averaging the dynamics by a quadratic generator over a clas sical Poisson process. This allowed us to show that the dynamics of arbitr ary moments of finite order of the creation and annihilation operators in this case is completely determined by a finite number of linear differenti al equations.\n LOCATION:https://researchseminars.org/talk/QOART/25/ END:VEVENT END:VCALENDAR