Exponential bound on information spreading induced by quantum many-body dynamics with long-range interactions

Tomotaka Kuwahara

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The dynamics of quantum systems strongly depends on the local structure of the Hamiltonian. For short-range interacting systems, the well-known Lieb-Robinson bound defines the effective light cone with an exponentially small error with respect to the spatial distance, whereas we can obtain only polynomially small errors for distance in long-range interacting systems. In this paper, we derive a qualitatively new bound for quantum dynamics by considering how many spins can correlate with each other after time evolution. Our bound characterizes the number of spins which support the many-body entanglement with exponentially small errors and is valid for a large class of Hamiltonians including long-range interacting systems. To demonstrate the advantage of our approach in quantum many-body systems, we apply our bound to prove several fundamental properties which have not been derived from the Lieb-Robinson bound.

Original languageEnglish
Article number053034
JournalNew Journal of Physics
Volume18
Issue number5
DOIs
Publication statusPublished - 2016 May 1

Keywords

  • Entanglement dynamics
  • Lieb-Robinson bound
  • Locality of Hamiltonian
  • Long-range interaction
  • Many-body spin system
  • Multipartite correlation
  • Spreading of many-body entanglement

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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