Quantum Mean-Fields Spin Systems in a Random External Field
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911338739007488 |
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| author | Manai, Chokri |
| author_facet | Manai, Chokri |
| contents | In this work, we consider general exchangeable quantum mean-field Hamiltonian such as the prominent quantum Curie-Weiss model under the influence of a random external field. Despite being arguably the simplest class of disordered quantum systems, the random external field breaks the symmetry of the mean-field Hamiltonian and hence standard quantum de Finetti type or semiclassical arguments are not directly applicable. We introduce a novel strategy in this context, which can be seen as non-commutative large deviation analysis, allowing us to characterize the limiting free energy in terms of a simple and explicit variational formula. The proposed method is general enough to be used for other classes of mean-field models such as multi species Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Mean-Fields Spin Systems in a Random External Field Manai, Chokri Mathematical Physics Probability Quantum Physics 81Q10, 81R30, 82B10, 82B20, 82B44 In this work, we consider general exchangeable quantum mean-field Hamiltonian such as the prominent quantum Curie-Weiss model under the influence of a random external field. Despite being arguably the simplest class of disordered quantum systems, the random external field breaks the symmetry of the mean-field Hamiltonian and hence standard quantum de Finetti type or semiclassical arguments are not directly applicable. We introduce a novel strategy in this context, which can be seen as non-commutative large deviation analysis, allowing us to characterize the limiting free energy in terms of a simple and explicit variational formula. The proposed method is general enough to be used for other classes of mean-field models such as multi species Hamiltonians. |
| title | Quantum Mean-Fields Spin Systems in a Random External Field |
| topic | Mathematical Physics Probability Quantum Physics 81Q10, 81R30, 82B10, 82B20, 82B44 |
| url | https://arxiv.org/abs/2512.21502 |