BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alexander Jahn (Caltech) DTSTART:20220510T193000Z DTEND:20220510T203000Z DTSTAMP:20260423T005708Z UID:HET/33 DESCRIPTION:Title: Hol ographic toy models with matchgate tensor networks\nby Alexander Jahn (Caltech) as part of Purdue HET\n\n\nAbstract\nMuch insight into the quant um information side of holographic dualities has come from studying simple toy models based on tensor networks. While these models have been shown t o realize properties such as entanglement and quantum error correction in line with continuum AdS/CFT\, their boundary states differ from those of s imple lattice discretizations of CFTs. In this talk\, I will introduce a c lass of tensor networks based on matchgate tensors for which such toy mode ls can be efficiently constructed. Within this class\, we will find simple solutions that are identified with a local\, critical boundary Hamiltonia n corresponding to a disordered version of the critical Ising model. Rathe r than just ground states\, we will find that the matchgate tensor ansatz can also reproduce low-energy excited states of the boundary Hamiltonian\, leading to a concrete bulk-boundary dictionary between bulk and boundary states. I will argue that this can be extended to a new class of holograph ic codes related to imaginary-time path integrals\, which serves as a prom ising avenue to study time dynamics in holographic tensor network models.\ n LOCATION:https://researchseminars.org/talk/HET/33/ END:VEVENT END:VCALENDAR