BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Arjun Kar (UBC)
DTSTART:20210331T160000Z
DTEND:20210331T170000Z
DTSTAMP:20260423T023011Z
UID:UKYhepth/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UKYhepth/39/
 ">A hierarchy of complexity growth from integrability and chaos</a>\nby Ar
 jun Kar (UBC) as part of Theoretical Physics Seminars (Kentucky)\n\n\nAbst
 ract\nQuantum complexity has been conjectured to be relevant for black hol
 e interiors.  In particular\, Susskind has conjectured a generic form of c
 omplexity growth and saturation for maximally chaotic systems like black h
 oles.  Using geodesic complexity techniques\, we study the complexity of t
 ime evolution in free\, integrable\, and chaotic systems with N degrees of
  freedom.  We demonstrate that the growth rate of this complexity is relat
 ed to more familiar properties of physical theories like 1) the existence 
 of creation/annihilation operators and 2) smeared thermal two-point functi
 ons.  Using these properties\, we find that the complexity saturates in fr
 ee\, integrable\, and chaotic theories at time scales which are on the ord
 er of N^{1/2}\, polynomial in N\, and exponential in N\, respectively.  Ou
 r results in the free theory improve an existing bound in the complexity t
 heory literature\, and our results in chaotic theories are based only on c
 oarse properties of the spectrum and eigenstates.\n
LOCATION:https://researchseminars.org/talk/UKYhepth/39/
END:VEVENT
END:VCALENDAR