BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pietro Brighi (IST Austria) DTSTART:20220517T010000Z DTEND:20220517T020000Z DTSTAMP:20260423T005720Z UID:NMTP2022/5 DESCRIPTION:Title: Tensor network approaches to the study of the interplay of large localize d systems and small thermal grains\nby Pietro Brighi (IST Austria) as part of Numerical Methods in Theoretical Physics\n\n\nAbstract\nIn isolate d quantum many-body systems\, thermalization is believed to occur due to t he ergodicity of the system. While most physical systems indeed behave in an ergodic way and their dynamics leads to thermal equilibrium\, some outs tanding counterexamples exist. Many-body localization (MBL) provides a par adigmatic case of ergodicity-breaking\, where strong disorder leads to the lack of relaxation to the thermal equilibrium.\n\nIn this talk I will pre sent recent studies of the interplay of large non-interacting localized ch ains and small ergodic baths. Using matrix product state (MPS) methods\, w e probe the dynamics of these systems\, showing that in the strong interac tion case not only the localized chain does not thermalize\, but it also l eads to the localisation of the bath\, a phenomenon known as MBL proximity effect. The presence of the thermal inclusion\, however\, leads to a dram atic change in the system\, as it makes the localized particles interact. As a consequence\, interesting entanglement patterns arise in the chain\, a feature we dubbed propagation of MBL. Thanks to a phenomenological theor y\, we are able to link the localisation of the thermal grain and the phen omenon of propagation of MBL\, reproducing the characteristic entanglement behavior.\n LOCATION:https://researchseminars.org/talk/NMTP2022/5/ END:VEVENT END:VCALENDAR