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Multipartite Entanglement in Topological Quantum Phases.

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We discovered multipartite entanglement in the Kitaev chain, a 1D topological superconductor model. Quantum Fisher information reveals phase transitions marked by entanglement scaling and derivative divergence, even without a closing energy gap.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • The Kitaev chain is a fundamental model for one-dimensional topological superconductors.
  • Understanding multipartite entanglement is crucial for characterizing quantum phases.

Purpose of the Study:

  • To investigate multipartite entanglement in the Kitaev chain ground state.
  • To utilize quantum Fisher information for characterizing topological phases and transitions.

Main Methods:

  • Employing quantum Fisher information to quantify multipartite entanglement.
  • Analyzing finite-size scaling of entanglement for different pairing ranges.

Main Results:

  • Multipartite entanglement was observed in the Kitaev chain ground state with variable-range pairing.
  • Phases with finite winding numbers exhibit power-law diverging entanglement scaling.
  • Quantum phase transitions are sharply indicated by the divergence of the quantum Fisher information derivative.

Conclusions:

  • Quantum Fisher information is a powerful tool for detecting topological phases and quantum phase transitions.
  • These transitions are detectable even when the energy gap remains finite.