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DTSTAMP:20260409T121538Z
UID:5fd1f1d43bbdb401237322@ist.ac.at
DTSTART:20201216T120000
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DESCRIPTION:Speaker: Alessio Lerose\nhosted by Maksym Serbyn\nAbstract: In 
 this talk\, I will introduce an approach to study quantum many-body dynami
 cs\, inspired by the Feynman-Vernon influence functional. Its central obje
 ct is the influence matrix (IM)\, which describes the effect of a Floquet 
 many-body system on the dynamics of local subsystems. For translationally 
 invariant systems\, the IM obeys a self-consistency equation. For certain 
 fine-tuned models\, remarkably simple exact solutions appear\, which repre
 sent perfect dephasers (PD)\, i.e.\, many-body systems acting as perfectly
  Markovian baths on their parts. Such PDs include dual-unitary quantum cir
 cuits investigated in recent works. In the vicinity of PD points\, the sys
 tem is not perfectly Markovian\, but rather acts as a quantum bath with a 
 short memory time. In this case\, we demonstrate that the self-consistency
  equation can be solved using matrix-product states (MPS) methods\, as the
  IM temporal entanglement is low. Using a combination of analytical insigh
 ts and MPS computations\, we characterize the structure of the IM in terms
  of an effective statistical-mechanics description for interfering interva
 ls of local quantum trajectories and illustrate its predictive power.In th
 e last part of the talk\, I will describe how to use these ideas to study 
 the many-body localized (MBL) phase of strongly disordered interacting spi
 n systems subject to periodic kicks. This approach allows to study exact d
 isorder-averaged time evolution in the thermodynamic limit. MBL systems fa
 il to act as efficient baths\, and this property is encoded in their IM. I
  will discuss the structure of an MBL IM and link it to the onset of tempo
 ral long-range order.References:A. Lerose\, M. Sonner\, D. A. Abanin\, htt
 ps://arxiv.org/abs/2009.10105M. Sonner\, A. Lerose\, D. A. Abanin\, https:
 //arxiv.org/abs/2012.00777
LOCATION:Foyer seminar room Ground floor / Office Bldg West (I21.EG.128)\, 
 ISTA
ORGANIZER:mpucher@ist.ac.at
SUMMARY:Alessio Lerose: Webinar by Alessio Lerose &quot\;Influence matrix a
 pproach to quantum many-body dynamics&quot\;
URL:https://talks-calendar.ista.ac.at/events/2997
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