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DTSTAMP:20240419T123504Z
UID:1712568600@ist.ac.at
DTSTART:20240408T113000
DTEND:20240408T123000
DESCRIPTION:Speaker: Xie Chen\nhosted by Hryhoriy Polshyn\nAbstract: Entang
lement in many-body quantum systems is notoriously hard to characterize du
e to the exponentially many parameters involved to describe the state. On
the other hand\, we are usually not interested in all the microscopic deta
ils of the entanglement pattern but only some of its global features. It t
urns out\, quantum circuits of different levels of complexity provide a us
eful way to establish a hierarchy among many-body entanglement structures.
A circuit of a finite depth generates only short range entanglement which
is in the same gapped phase as an unentangled product state. A linear dep
th circuit on the other hand can lead to chaos beyond thermal equilibrium.
In this talk\, we discuss how to reach the interesting regime in between
that contains nontrivial gapped orders. This is achieved using the Sequent
ial Quantum Circuit — a circuit of linear depth but with each layer acti
ng only on one subregion in the system. We discuss how the Sequential Qu
antum Circuit can be used to generate nontrivial gapped states with long r
ange correlation or long range entanglement\, perform renormalization grou
p transformation in foliated fracton order\, and create defect excitations
inside the bulk of a higher dimensional topological state.
LOCATION:Raiffeisen Lecture Hall\, ISTA
ORGANIZER:maria.arias.sutil@ista.ac.at
SUMMARY:Xie Chen: Quantum circuit and the hierarchy of many-body entangleme
nt
URL:https://talks-calendar.ista.ac.at/events/4245
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