Structures of Identical Particle Systems : Efficient Computation of Many-Body Density of States
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911644903276544 |
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| author | Lee, Hovan Lefèvre, Rémi Ithier, Grégoire |
| author_facet | Lee, Hovan Lefèvre, Rémi Ithier, Grégoire |
| contents | We present a method for approximating the many-body density of states of a system of quantum identical particles, with a reduction of the computational cost by a combinatorial factor compared to the full calculation. This is carried out by considering an isolated quantum system of identical particles, and studying its non-interacting many-body spectrum through the use of a new approach based on a separation of universal combinatorial properties from the system-specific quantities. In this paper we focus on a practical computation method that leverages our formalism of many-body combinatorics, in order to perform an efficient numerical computation of the many-body density of states. In addition, this method provides further computational improvements by allowing most of the results to be cached in persistent storage and computed incrementally, making way for efficient use of parallelization and dynamic programming techniques. We give an extensive description of the method and provide several detailed examples of approximations of bosonic many-body density of states with tunable accuracy requirements. Lastly, we demonstrate how one such approximation can be used to recover Bose-Einstein-like distributions without any particle statistics assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_02864 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structures of Identical Particle Systems : Efficient Computation of Many-Body Density of States Lee, Hovan Lefèvre, Rémi Ithier, Grégoire Quantum Physics Statistical Mechanics Computational Physics We present a method for approximating the many-body density of states of a system of quantum identical particles, with a reduction of the computational cost by a combinatorial factor compared to the full calculation. This is carried out by considering an isolated quantum system of identical particles, and studying its non-interacting many-body spectrum through the use of a new approach based on a separation of universal combinatorial properties from the system-specific quantities. In this paper we focus on a practical computation method that leverages our formalism of many-body combinatorics, in order to perform an efficient numerical computation of the many-body density of states. In addition, this method provides further computational improvements by allowing most of the results to be cached in persistent storage and computed incrementally, making way for efficient use of parallelization and dynamic programming techniques. We give an extensive description of the method and provide several detailed examples of approximations of bosonic many-body density of states with tunable accuracy requirements. Lastly, we demonstrate how one such approximation can be used to recover Bose-Einstein-like distributions without any particle statistics assumptions. |
| title | Structures of Identical Particle Systems : Efficient Computation of Many-Body Density of States |
| topic | Quantum Physics Statistical Mechanics Computational Physics |
| url | https://arxiv.org/abs/2605.02864 |