Constructing the low-temperature phase diagram for the $2+p$-quantum spin glass using the nonperturbative renormalization group
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910877362421760 |
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| author | Achitouv, Ixandra Lahoche, Vincent Samary, Dine Ousmane Radpay, Parham |
| author_facet | Achitouv, Ixandra Lahoche, Vincent Samary, Dine Ousmane Radpay, Parham |
| contents | In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large $N$ limit. The disordered Hamiltonian is of ``$2 + p$" type, and we perform a coarse-graining procedure over the Wigner spectrum for the matrix-like disorder. The phase space reconstruction relies on phase transitions derived from the Luttinger-Ward functional, which accounts for interactions that are forbidden by perturbation theory. Various phases are identified, characterized by large correlations between replicas and/or the breaking of time translation symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructing the low-temperature phase diagram for the $2+p$-quantum spin glass using the nonperturbative renormalization group Achitouv, Ixandra Lahoche, Vincent Samary, Dine Ousmane Radpay, Parham Disordered Systems and Neural Networks In this paper, we use a nonperturbative renormalization group approach to construct the dynamical phase space of a quantum spin glass in the large $N$ limit. The disordered Hamiltonian is of ``$2 + p$" type, and we perform a coarse-graining procedure over the Wigner spectrum for the matrix-like disorder. The phase space reconstruction relies on phase transitions derived from the Luttinger-Ward functional, which accounts for interactions that are forbidden by perturbation theory. Various phases are identified, characterized by large correlations between replicas and/or the breaking of time translation symmetry. |
| title | Constructing the low-temperature phase diagram for the $2+p$-quantum spin glass using the nonperturbative renormalization group |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2503.12247 |