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Topological Quantum Synchronization of Fractionalized Spins.

Christopher W Wächtler1, Joel E Moore1,2

  • 1Department of Physics, University of California, Berkeley, California 94720, USA.

Physical Review Letters
|May 28, 2024
PubMed
Summary

Synchronization of fractionalized spins in the Affleck-Kennedy-Lieb-Tasaki model is achieved by breaking SU(2) symmetry. Topological protection enhances robustness, offering advantages over permutation symmetry-based synchronization.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Theory

Background:

  • The Affleck-Kennedy-Lieb-Tasaki model exhibits fractionalized spins in its gapped symmetric phase.
  • Understanding the dynamics and control of these fractionalized spins is crucial for quantum systems.

Purpose of the Study:

  • To demonstrate the synchronization of fractionalized spins at the ends of an open chain in the Affleck-Kennedy-Lieb-Tasaki model.
  • To investigate the robustness of this synchronization within the Haldane-gap phase and its dependence on symmetry breaking.

Main Methods:

  • Breaking SU(2) symmetry and applying a global spin-lowering dissipator to synchronize fractionalized spins.
  • Utilizing local dissipators for convergence to the ground state manifold.
  • Reducing the biquadratic term to explore synchronization stability within the Haldane-gap phase.

Main Results:

  • Synchronization of fractionalized spins is achieved by breaking SU(2) symmetry and employing a global spin-lowering dissipator.
  • The synchronization exhibits robustness due to topological protection within the Haldane-gap phase.
  • Topological synchronization does not require permutation symmetries, unlike other synchronization methods.

Conclusions:

  • Fractionalized degrees of freedom can be synchronized in extended systems with inherent robustness from topological protection.
  • This topological synchronization offers a distinct advantage over synchronization methods relying on permutation symmetries.
  • The findings highlight a novel approach to controlling quantum systems with fractionalized excitations.