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SUMMARY:Nongmaithem Jasper (NIT Rourkela)
DTSTART:20260724T070000Z
DTEND:20260724T080000Z
DTSTAMP:20260803T233141Z
UID:EUPAC-TP/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EUPAC-TP/39/
 ">Introduction to Krylov Complexity</a>\nby Nongmaithem Jasper (NIT Rourke
 la) as part of Europe and Pacific Theoretical Physics\n\n\nAbstract\nUnder
 standing operator growth is central to probing the dynamics of complex qua
 ntum systems. The earlier geometric approach of Nielsen’s provides a fou
 ndational framework for quantifying complexity\, however it relies on subj
 ective\, external definitions of distance. This talk transitions from thes
 e early geometric definitions to the more robust framework of Krylov compl
 exity\, which utilises the Lanczos algorithm to offer an intrinsic\, basis
 -independent measure of operator evolution.  Moreover\, within the hologra
 phic dictionary\, this boundary evolution finds a physical interpretation 
 via the size-momentum correspondence. We will explore how an operator’s 
 growth along the boundary Krylov chain maps to the radial proper momentum 
 of an infalling particle in the bulk geometry. Finally\, applying this dua
 lity\, we will discuss recent results utilising the proper momentum relati
 on to evaluate Krylov complexity.\n
LOCATION:https://researchseminars.org/talk/EUPAC-TP/39/
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