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Quantum Physics
Title: Effective light cone and digital quantum simulation of interacting bosons
(Submitted on 29 Jun 2022 (v1), last revised 22 Mar 2024 (this version, v3))
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.
Submission history
From: Tomotaka Kuwahara [view email][v1] Wed, 29 Jun 2022 16:04:43 GMT (6121kb,D)
[v2] Tue, 8 Nov 2022 02:21:27 GMT (7351kb,D)
[v3] Fri, 22 Mar 2024 14:57:33 GMT (5907kb,D)
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