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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Quantum information science

Background:

  • Lieb-Robinson bounds describe the speed of correlation spread in quantum systems.
  • Previous work focused on bipartite (two-party) correlations with short-range interactions.

Purpose of the Study:

  • To generalize Lieb-Robinson bounds to multipartite (many-party) connected correlators.
  • To investigate the speed at which multipartite correlations can emerge in quantum systems.

Main Methods:

  • Mathematical generalization of existing Lieb-Robinson bounds.
  • Analysis of correlation dynamics in systems with short-range interactions.

Main Results:

  • Derived bounds for n-partite connected correlators.
  • Demonstrated that n-partite correlators can reach unit value in constant time.
  • Showcased that n-partite correlators can achieve exponentially large values in constant time, a novel finding compared to bipartite correlations.

Conclusions:

  • Multipartite correlations exhibit distinct dynamics compared to bipartite correlations.
  • The findings have significant implications for understanding and utilizing multipartite entanglement and quantum information processing.
  • Explicit system examples demonstrating these phenomena are provided.