Berlin 2024 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 40: Many-body Quantum Dynamics I (joint session DY/TT)
DY 40.1: Vortrag
Donnerstag, 21. März 2024, 09:30–09:45, A 151
Topological synchronization of fractionalized spins — •Christopher Wächtler1 and Joel Moore1, 2 — 1University of California, Berkeley, USA — 2Lawrence Berkeley National Laboratory, Berkeley, USA
The gapped symmetric phase of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model exhibits fractionalized spins at the ends of an open chain. We show that breaking SU(2) symmetry and applying a global spin-lowering dissipator achieves synchronization of these fractionalized spins. Additional local dissipators ensure convergence to the ground state manifold. In order to understand which aspects of this synchronization are robust within the entire Haldane-gap phase, we reduce the biquadratic term which eliminates the need for an external field but destabilizes synchronization. Within the ground state subspace, stability is regained using only the global lowering dissipator. These results demonstrate that fractionalized degrees of freedom can be synchronized in extended systems with a significant degree of robustness arising from topological protection.
Keywords: Quantum synchronization; Symmetry protected topological; Fractionalized spins; Open quantum systems; Haldane phase