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SUMMARY:Temporal entanglement and complexity of quantum many-body dynamics
DTSTART:20240516T120000
DTEND:20240516T130000
DTSTAMP:20260510T022807Z
UID:2844d2d9569c0d13b9815d30d86c2cdc8f4724a84f47d0a4dc95061e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dmitry Abanin\nEntanglement entropy and its scaling with syste
 m size determine the complexity of quantum many-body states. Non-equilibri
 um many-body dynamics is often accompanied by rapid growth of entanglement
 \, and is therefore challenging to simulate classically. I will describe a
  new approach to a range of problems in quantum dynamics\, based on viewin
 g a many-body system as a quantum bath. The bath is characterized by the F
 eynman-Vernon influence functional. Viewing this object as a fictitious wa
 ve function in the temporal domain\, I will characterise its complexity in
  terms of temporal entanglement. Temporal entanglement exhibits favorable\
 , area-law scaling with evolution time for a range of important problems\,
  including thermalization\, quenches in integrable systems\, and quantum i
 mpurity models. This observation yields rigorous bounds on simulation comp
 lexity of some of these problems\, and underlies a new family of efficient
  computational methods. Finally\, time permitting\, I will discuss a recen
 t experiment with the Google Quantum Processor\, where a quantum bath was 
 emulated using a few auxiliary qubits periodically reset to remove quasipa
 rticles from the system\, thereby enabling robust preparation of correlate
 d many-body states.
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727
STATUS:CONFIRMED
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