Shaping Causality: Emergence of Nonlocal Light Cones in Long-Range Quantum Systems
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arXiv
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| Format: | Preprint |
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2025
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| author | Sadugol, Shreyas Celardo, Giuseppe Luca Borgonovi, Fausto Kaplan, Lev |
| author_facet | Sadugol, Shreyas Celardo, Giuseppe Luca Borgonovi, Fausto Kaplan, Lev |
| contents | While for non-relativistic short-range interactions, the spread of information is local, remaining confined in an effective light cone, long-range interactions can generate either nonlocal (faster-than-ballistic) or local (ballistic) spread of correlations depending on the initial conditions. This makes long-range interactions a rich platform for controlling the spread of information. Here, we derive an effective Hamiltonian analytically and identify the specific interaction term that drives nonlocality in a wide class of long-range spin chains. This allows us to understand the conditions for the emergence of local behavior in the presence of nonlocal interactions and to identify a regime where the causal space-time landscape can be precisely designed. Indeed, we show that for large long-range interaction strength or large system size, initial conditions can be chosen in a way that allows a local perturbation to generate nonlocal signals at programmable distant positions, which then propagate within effective light cones. The possibility of engineering the emergence of nonlocal Lieb-Robinson-like light cones allows one to shape the causal landscape of long-range interacting systems, with direct applications to quantum information processing devices, quantum memories, error correction, and information transport in programmable quantum simulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22020 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Shaping Causality: Emergence of Nonlocal Light Cones in Long-Range Quantum Systems Sadugol, Shreyas Celardo, Giuseppe Luca Borgonovi, Fausto Kaplan, Lev Statistical Mechanics Quantum Physics While for non-relativistic short-range interactions, the spread of information is local, remaining confined in an effective light cone, long-range interactions can generate either nonlocal (faster-than-ballistic) or local (ballistic) spread of correlations depending on the initial conditions. This makes long-range interactions a rich platform for controlling the spread of information. Here, we derive an effective Hamiltonian analytically and identify the specific interaction term that drives nonlocality in a wide class of long-range spin chains. This allows us to understand the conditions for the emergence of local behavior in the presence of nonlocal interactions and to identify a regime where the causal space-time landscape can be precisely designed. Indeed, we show that for large long-range interaction strength or large system size, initial conditions can be chosen in a way that allows a local perturbation to generate nonlocal signals at programmable distant positions, which then propagate within effective light cones. The possibility of engineering the emergence of nonlocal Lieb-Robinson-like light cones allows one to shape the causal landscape of long-range interacting systems, with direct applications to quantum information processing devices, quantum memories, error correction, and information transport in programmable quantum simulators. |
| title | Shaping Causality: Emergence of Nonlocal Light Cones in Long-Range Quantum Systems |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2511.22020 |