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DTSTART;TZID=Europe/Paris:20241112T140000
DTEND;TZID=Europe/Paris:20241112T153000
DTSTAMP:20260417T204929
CREATED:20241027T093701Z
LAST-MODIFIED:20241030T073538Z
UID:10949-1731420000-1731425400@fermi.univ-tlse3.fr
SUMMARY:Modes zéro forts dans les circuits quantiques intégrables. - (Eric Vernier / LPT / Seminar). - 12/11/2024\, 14H
DESCRIPTION:Eric Vernier (LPSM) \nSeminar LPT\, 12/11/2024\, 14H\, 3R1\, seminar room\, 3rd floor \nAbstract :\nIt is a classic result that certain interacting integrable spin chains host robust edge modes known as strong zero modes (SZMs). In this Letter\, we extend this result to the Floquet setting of local quantum circuits\, focusing on a prototypical model providing an integrable Trotterization for the evolution of the XXZ Heisenberg spin chain. By exploiting the algebraic structures of integrability\, we show that an exact SZM operator can be constructed for these integrable quantum circuits in certain regions of parameter space. Our construction\, which recovers a well-known result by Paul Fendley in the continuous-time limit\, relies on a set of commuting transfer matrices known from integrability\, and allows us to easily prove important properties of the SZM\, including normalizabilty. Our approach is different from previous methods and could be of independent interest even in the Hamiltonian setting. Our predictions\, which are corroborated by numerical simulations of infinite-temperature autocorrelation functions\, are potentially interesting for implementations of the XXZ quantum circuit on available quantum platforms.
URL:https://fermi.univ-tlse3.fr/event/modes-zero-forts-dans-les-circuits-quantiques-integrables-eric-vernier-lpt-seminar-15-10-2024-14h/
LOCATION:salle de séminaire 3ème étage\, Bâtiment 3r1 Université Toulouse III\, Toulouse\, 31400\, France
CATEGORIES:Events,LPT,Seminars
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