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SUMMARY:Quantum chaos and the complexity of time evolution [Confirmed]
DTSTART:20260401T180000Z
DTEND:20260401T193000Z
DTSTAMP:20260510T141900Z
UID:indico-event-2219@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Vijay Balasubramanian (University of Pennsylvania)\n
 \nI will describe new ideas relating quantum chaos to the complexity of ti
 me evolution.  One approach treats physical time evolution as a quantum c
 omputation\, and bounds the smallest quantum circuit that can simulate thi
 s evolution.  The second approach quantifies how ergodically and rapidly 
 a quantum state explores the accessible part of the system's Hilbert space
 .  I will illustrate how these measures separate integrable and chaotic q
 uantum systems by considering examples including spin chains\, quantum bil
 liards\, quantum many body systems\, and Random Matrix Theory.  I will en
 d by describing an application of these methods to a conjecture that geome
 trizes complexity in quantum gravity\, and will comment on the relevance o
 f these ideas for the break down of effective field theory near spacelike 
 singularities.\n\nhttps://events.perimeterinstitute.ca/event/2219/
LOCATION:PI/2-292 - Time Room (Perimeter Institute for Theoretical Physics
 )
URL:https://events.perimeterinstitute.ca/event/2219/
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