Regensburg 2025 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 13: Many-body Quantum Dynamics I (joint session DY/TT)
DY 13.7: Talk
Tuesday, March 18, 2025, 11:00–11:15, H37
Entanglement in quantum circuits with SU(2) symmetry — •Tobias Dörstel and Michael Buchhold — Institute for Theoretical Physics, Cologne
Quantum circuits offer a robust framework for studying the out-of-equilibrium dynamics of quantum many-body systems. We investigate one-dimensional monitored quantum circuits with global SU(2) symmetry, serving as digital counterparts to the Heisenberg chain. These circuits consist of unitary qubit SWAPs and non-unitary SWAP-measurements. Entanglement in the chain is governed by the configuration of qubit singlet states, whose count is fixed by the symmetry sector. Varying the measurement rate, unitary operations, and singlet number reveals diverse entanglement behaviors, ranging from volume law to log2(L) and log(L) scaling of half-chain entanglement. We explain these scaling regimes analytically using an SU(2)-symmetric "Page law" and a mapping to loop models with crossings.
Keywords: Monitored Quantum Circuit; Entanglement Entropy; SU(2) Symmetry; Heisenberg; Non-Equilibrium