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:20170720T140000 DTEND;TZID=UTC:20170720T160000 DTSTAMP:20240328T130307 CREATED:20170718T045610Z LAST-MODIFIED:20170725T044352Z UID:429-1500559200-1500566400@chaos.fmf.uni-lj.si SUMMARY:Mohammad Ali Rajabpour: Formation probabilities\, Post-measurement entanglement entropy and Casimir effect DESCRIPTION:I will first introduce formation probability as a quantity which can determine the universality class of a quantum critical system. In other words\, by calculating this quantity one can find the central charge and critical exponents of a quantum system and determine the universality class uniquely. I will show that calculating this quantity boils down to finding Casimir energy of two needles. Then using boundary conformal field theory (BCFT) techniques we find exact results for the formation probabilities. Numerical results for transverse field Ising model will be presented to support the analytical results.  Then we will  briefly talk about Shannon mutual information as another quantity which can play similar role. We will present a conjecture which connects Shannon mutual information to the central charge of the underlying conformal field theory. We will support the conjecture  with many numerical calculations. Finally\, we will introduce post-measurement entanglement entropy as a tripartite measure of entanglement. We will show that this quantity is related to the Casimir energy of needles on Riemann surfaces and can be calculated exactly for conformal field theories. To do that we use a slightly different method than twist operator technique. Many analytical results\, such as\, Renyi entropy\, entanglement Hamiltonian\, distribution of the eigenvalues of entanglement Hamiltonian\, the effect of the boundary and Affleck-Ludwig boundary entropy can be discussed naturally in our framework.  Few numerical results regarding free bosons and transverse field Ising chain will be presented as support for analytical results. \n* Mohammad Ali Rajabpour\, Instituto de Fisica Universidade Federal Fluminense Niteroi\, Rio de Janeiro \n URL:https://chaos.fmf.uni-lj.si/event/mohammad-ali-rajabpour-formation-probabilities-post-measurement-entanglement-entropy-and-casimir-effect/ LOCATION:Kuščerjev seminar\, Fakulteta za matematiko in fiziko UL\, Jadranska 19\, Ljubljana\, Slovenia END:VEVENT END:VCALENDAR