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:20170326T010000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:20171029T010000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=Europe/Ljubljana:20171212T140000 DTEND;TZID=Europe/Ljubljana:20171212T160000 DTSTAMP:20240329T020500 CREATED:20171209T102810Z LAST-MODIFIED:20171209T102834Z UID:545-1513087200-1513094400@chaos.fmf.uni-lj.si SUMMARY:Lenart Zadnik: Integrable Trotterization DESCRIPTION:I will discuss a general procedure to construct an integrable real–time trotterization of interacting lattice models. As an illustrative example we will consider a spin-$1/2$ chain\, with continuous time dynamics described by the isotropic ($XXX$) Heisenberg Hamiltonian. I will derive local conservation laws from an inhomogeneous transfer matrix and construct a boost operator. In the continuous time limit these local charges reduce to the known integrals of motion of the Heisenberg chain. \nIn a simple Kraus representation I will examine the nonequilibrium setting\, where our integrable cellular automaton is driven by stochastic processes at the boundaries.\nWe will see\, how an exact nonequilibrium steady state density matrix can be written in terms of a staggered matrix product ansatz. \nThis simple trotterization scheme\, in particular in the open system framework\, could prove to be a useful tool for experimental simulations of the lattice models in terms of trapped ion and atom optics setups. \n* Lenart Zadnik\, Faculty of Mathematics and Physics\, University of Ljubljana \n URL:https://chaos.fmf.uni-lj.si/event/lenart-zadnik-integrable-trotterization/ LOCATION:Kuščerjev seminar\, Fakulteta za matematiko in fiziko UL\, Jadranska 19\, Ljubljana\, Slovenia END:VEVENT END:VCALENDAR