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:UTC BEGIN:STANDARD TZOFFSETFROM:+0000 TZOFFSETTO:+0000 TZNAME:UTC DTSTART:20170101T000000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=UTC:20170713T140000 DTEND;TZID=UTC:20170713T160000 DTSTAMP:20240328T175037 CREATED:20170712T052912Z LAST-MODIFIED:20170725T044050Z UID:406-1499954400-1499961600@chaos.fmf.uni-lj.si SUMMARY:Szabolcs Vajna: Replica resummation of the Baker-Campbell-Hausdorff series DESCRIPTION:We developed a novel perturbative expansion for the effective Hamiltonian governing the dynamics of periodically kicked systems in the small parameter of the kick strength. The expansion is based on the replica trick\, and is formally equivalent to the infinite resummation of the Baker-Campbell-Hausdorff series in the non-kicked Hamiltonian\, while taking finite order terms in the kicks. As an application of the replica expansion\, we study the heating properties of a periodically kicked spin chain. We demonstrate that even away from the high frequency driving limit\, the heating rate is at least stretched exponentially suppressed in the kick strength. This leads to a long pre-thermal regime\, where the dynamics is governed by the effective Hamiltonian obtained from the expansion. \n\n* Szabolcs Vajna\, Faculty of Mathematics and Physics\, University of Ljubljana \n URL:https://chaos.fmf.uni-lj.si/event/szabolcs-vajna-replica-resummation-of-the-baker-campbell-hausdorff-series/ LOCATION:Kuščerjev seminar\, Fakulteta za matematiko in fiziko UL\, Jadranska 19\, Ljubljana\, Slovenia END:VEVENT END:VCALENDAR