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- From: Kormányos Andor <andor.kormanyos AT ttk.elte.hu>
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- Subject: [Fizinfo] Ortvay kollokvium/Ortvay colloquium, 24.03.2022
- Date: Mon, 21 Mar 2022 07:43:56 +0000
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ELTE Fizika Intézet / Institute of Physics
ORTVAY KOLLOKVIUM / ORTVAY COLLOQUIUM
(https://physics.elte.hu/ortvayseminar)
Thursday, 24th March 2022, 15:00
Online in Microsoft Teams:
https://teams.microsoft.com/l/meetup-join/19%3aa63ca892c69f47218ec33d9f3f97554d%40thread.tacv2/1647607439770?context=%7b%22Tid%22%3a%22b366dbcd-4fc3-4451-82d2-e239564302c3%22%2c%22Oid%22%3a%22560bcc66-85b7-4700-9055-41903a3659ca%22%7d
Balázs Pozsgay (ELTE, Department of Theoretical Physics)
<https://physics.elte.hu/en/content/istvan-b-foldes-wigner-rcp-institute-for-particle-and-nuclear-physics.e.2811>
Dual unitary circuits: solvable models of quantum chaos
We give an introduction into a topic which is a new research direction for
our group (MTA-ELTE Momentum Integrable Quantum Dynamics Group). The dual
unitary circuits are one dimensional quantum block cellular automata, where
the fundamental two-site gate satisfies a special mathematical condition, the
dual unitarity (sometimes also called biunitarity). This condition can be
understood as a sort of space-time duality: the circuit is unitary also when
we exchange the role of time and space. Eventually this leads to their
solvability: dynamical correlation functions can be computed exactly. Even
though these circuits are rather special (not generic), one can argue that
they display many key properties of quantum chaos. Furthermore, in some cases
the circuits are integrable (in the usual sense, having many conserved
charges, etc). We discuss the dynamical properties of these circuits, and
also relations with other subjects/topics such as holographic error
correcting codes, combinatorial designs, and Yang-Baxter integrability.
Best regards,
Andor Kormányos
coordinator
- [Fizinfo] Ortvay kollokvium/Ortvay colloquium, 24.03.2022, Kormányos Andor, 03/21/2022
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