Lieb-Robinson bounds in classical oscillating lattice systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917052780904448 |
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| author | Koot, Ian van de Ven, C. J. F. |
| author_facet | Koot, Ian van de Ven, C. J. F. |
| contents | The aim of this paper is two-fold. First, we prove the existence of Lieb-Robinson bounds for classical particle systems describing harmonic oscillators interacting with arbitrarily many neighbors, both on lattices and on more general structures. Second, we prove the existence of a global dynamical system on the commutative resolvent algebra, a C*-algebra of bounded continuous functions on an infinite dimensional vector space, which serves as the classical analog of the Buchholz--Grundling resolvent algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27495 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lieb-Robinson bounds in classical oscillating lattice systems Koot, Ian van de Ven, C. J. F. Mathematical Physics The aim of this paper is two-fold. First, we prove the existence of Lieb-Robinson bounds for classical particle systems describing harmonic oscillators interacting with arbitrarily many neighbors, both on lattices and on more general structures. Second, we prove the existence of a global dynamical system on the commutative resolvent algebra, a C*-algebra of bounded continuous functions on an infinite dimensional vector space, which serves as the classical analog of the Buchholz--Grundling resolvent algebra. |
| title | Lieb-Robinson bounds in classical oscillating lattice systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2510.27495 |