Kavli Affiliate: Joel E. Moore
| First 5 Authors: Christopher W. Wächtler, Joel E. Moore, , ,
| Summary:
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 spinsrev{, which remains protected
even if the inversion symmetry is not preserved}. 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.
| Search Query: ArXiv Query: search_query=au:”Joel E. Moore”&id_list=&start=0&max_results=3