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Measuring topological invariants for higher-order exceptional points in quantum three-mode systems.

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Researchers explored higher-order exceptional points (EPs) in quantum systems. They experimentally demonstrated a third-order exceptional point (EP3) in a non-Hermitian system, revealing multipartite entangled eigenstates and quantum correlations.

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Area of Science:

  • Quantum physics
  • Non-Hermitian systems
  • Topological phenomena

Background:

  • Non-Hermitian systems exhibit unique topological phenomena linked to exceptional points (EPs).
  • Experimental studies of topological invariants in EPs have been limited to second-order EPs (EP2s) in classical or semiclassical systems.

Purpose of the Study:

  • To propose and experimentally realize a non-Hermitian multi-mode system featuring higher-order EPs.
  • To investigate the topological invariants associated with these higher-order EPs in a quantum mechanical context.
  • To explore the nature of multipartite entangled eigenstates underlying these phenomena.

Main Methods:

  • Implementation of a non-Hermitian model using a Josephson-junction-based electronic mode coupled to two microwave resonators.
  • Experimental quantification of the topological invariant for a third-order exceptional point (EP3).
  • Mapping of complex eigenspectra around the EP3 in parameter space.

Main Results:

  • Successful realization of a non-Hermitian system with higher-order EPs.
  • Experimental quantification of the topological invariant for an EP3.
  • Observation of multipartite entangled eigenstates and quantum correlations, confirming nonclassical topology.

Conclusions:

  • The study extends the understanding of exceptional topology to fully quantum-mechanical models.
  • Demonstrates the feasibility of characterizing higher-order EPs and their associated topological invariants in quantum systems.
  • Highlights the role of multipartite entanglement in non-Hermitian topological phenomena.