Topological defect formation\, as described by the Kibble-Zurek Mechanism (KZM)\, is a highly generic phenomenon that occurs in a wide range of syst ems from condensed matter to cosmology. Despite the generality of the KZM description\, it is surprisingly hard to confirm in the case of quantum fi eld theories (QFT) undergoing quantum phase transitions. This difficulty c an be attributed to the more general technical challenge of performing non -equilibrium non-perturbative calculations in quantum theory\, for which t here is currently no well-developed method. To attempt to tackle this prob lem\, we apply matrix product state techniques\, specifically uniform-matr ix-product-states and the time-dependent-variational-prinicible\, and atte mpt to identify signatures of topological defect formation in the $\\phi^{ 4}$ QFT. Our results given a picture consistent with topological defect fo rmation via the KZM and thus provide an excellent benchmark for tensor net work techniques\, suggesting they are highly promising for future applicat ions to non-perturbative non-equilibrium QFT\, and quantum theories more g enerally.

LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS T Austria ORGANIZER:susanne.wheatley@ist.ac.at SUMMARY:Studying Topological Defect Formation with Matrix Product States URL:https://talks-calendar.app.ist.ac.at/events/1396 END:VEVENT END:VCALENDAR