BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:CQIF Seminar
SUMMARY:The complexity of steady states of detailed balanc
 e Lindbladians - Raz Firanko\, Technion
DTSTART;TZID=Europe/London:20240822T141500
DTEND;TZID=Europe/London:20240822T151500
UID:TALK220129AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/220129
DESCRIPTION:For the past two decades\, there have been great a
 dvances in our understanding of the complexity of 
 quantum Hamiltonian systems. Tools like Lieb-Robin
 son bounds\, tensor-networks\, computational compl
 exity reductions\, and entanglement theory have he
 lped us to answer questions like what the complexi
 ty of approximating the ground states of various c
 lasses of local Hamiltonians is\, or whether or no
 t there exists an efficient classical representati
 on for such states.\n\nMost physical systems\, how
 ever\, are open\, and are often governed by local 
 Lindbladians rather than local Hamiltonians. It is
  therefore natural to ask if we could use the same
  tools to study the complexity of such systems\, a
 nd in particular the complexity of their steady st
 ates. The biggest obstacle in bridging these two w
 orlds is Hermiticity: while Hamiltonians are Hermi
 tian and induce unitary dynamics\, Lindbladians ar
 e not\, and their dynamics is dissipative. \n\nIn 
 this talk\, I will use the quantum detailed-balanc
 e condition to overcome this problem. I will prese
 nt a mapping between local Lindbldadians that sati
 sfy the quantum detailed-balance condition to loca
 l Hamiltonians. This will enable me to identify su
 fficient conditions under which the steady states 
 of these systems satisfies exponential decay of co
 rrelations\, satisfies an area law\, and can be ef
 ficiently represented by a tensor-network. I will 
 also discuss the implications of this mapping for 
 numerical simulations\, as well as to the complexi
 ty of the local Hamiltonian problem.
LOCATION:MR2
CONTACT:Angela Capel
END:VEVENT
END:VCALENDAR