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Effective light cone and digital quantum simulation of interacting bosons

Author

Listed:
  • Tomotaka Kuwahara

    (RIKEN Center for Quantum Computing (RQC)
    RIKEN Cluster for Pioneering Research (CPR)
    Japan Science and Technology (JST))

  • Tan Van Vu

    (RIKEN Center for Quantum Computing (RQC))

  • Keiji Saito

    (Kyoto University)

Abstract

The speed limit of information propagation is one of the most fundamental features in non-equilibrium physics. The region of information propagation by finite-time dynamics is approximately restricted inside the effective light cone that is formulated by the Lieb-Robinson bound. To date, extensive studies have been conducted to identify the shape of effective light cones in most experimentally relevant many-body systems. However, the Lieb-Robinson bound in the interacting boson systems, one of the most ubiquitous quantum systems in nature, has remained a critical open problem for a long time. This study reveals a tight effective light cone to limit the information propagation in interacting bosons, where the shape of the effective light cone depends on the spatial dimension. To achieve it, we prove that the speed for bosons to clump together is finite, which in turn leads to the error guarantee of the boson number truncation at each site. Furthermore, we applied the method to provide a provably efficient algorithm for simulating the interacting boson systems. The results of this study settle the notoriously challenging problem and provide the foundation for elucidating the complexity of many-body boson systems.

Suggested Citation

  • Tomotaka Kuwahara & Tan Van Vu & Keiji Saito, 2024. "Effective light cone and digital quantum simulation of interacting bosons," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-46501-7
    DOI: 10.1038/s41467-024-46501-7
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    References listed on IDEAS

    as
    1. Marc Cheneau & Peter Barmettler & Dario Poletti & Manuel Endres & Peter Schauß & Takeshi Fukuhara & Christian Gross & Immanuel Bloch & Corinna Kollath & Stefan Kuhr, 2012. "Light-cone-like spreading of correlations in a quantum many-body system," Nature, Nature, vol. 481(7382), pages 484-487, January.
    2. Philip Richerme & Zhe-Xuan Gong & Aaron Lee & Crystal Senko & Jacob Smith & Michael Foss-Feig & Spyridon Michalakis & Alexey V. Gorshkov & Christopher Monroe, 2014. "Non-local propagation of correlations in quantum systems with long-range interactions," Nature, Nature, vol. 511(7508), pages 198-201, July.
    3. P. Jurcevic & B. P. Lanyon & P. Hauke & C. Hempel & P. Zoller & R. Blatt & C. F. Roos, 2014. "Quasiparticle engineering and entanglement propagation in a quantum many-body system," Nature, Nature, vol. 511(7508), pages 202-205, July.
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