Exact many-body wavefunction of the Kondo model with time-dependent interaction strength
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| author | Pasnoori, Parameshwar R. Yuzbashyan, Emil. A. |
| author_facet | Pasnoori, Parameshwar R. Yuzbashyan, Emil. A. |
| contents | We present an exact solution of the nonstationary Schrodinger equation for the Kondo Hamiltonian with a time-dependent spin-exchange coupling $J(t)$ under periodic boundary conditions. Unlike previously studied time-dependent integrable models, which are rooted in the classical Yang-Baxter structure and associated Knizhnik-Zamolodchikov equations, our approach is based on the quantum Knizhnik-Zamolodchikov framework and the quantum Yang-Baxter algebra. We demonstrate that the dynamics is integrable for a class of exchange couplings $J(t)$ of the form $λt + p(t) \pm \sqrt{(λt + p(t))^2 + 4/3}$, where $p(t)$ is an arbitrary periodic function, and construct the corresponding many-body wavefunction. We also discuss extensions to other one-dimensional integrable models with linear dispersion, such as Gross-Neveu and Thirring. Our results broaden the domain of time-dependent integrability to a genuinely quantum class of models and provide a new platform for exploring coherent nonequilibrium dynamics in strongly correlated systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05640 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact many-body wavefunction of the Kondo model with time-dependent interaction strength Pasnoori, Parameshwar R. Yuzbashyan, Emil. A. Strongly Correlated Electrons We present an exact solution of the nonstationary Schrodinger equation for the Kondo Hamiltonian with a time-dependent spin-exchange coupling $J(t)$ under periodic boundary conditions. Unlike previously studied time-dependent integrable models, which are rooted in the classical Yang-Baxter structure and associated Knizhnik-Zamolodchikov equations, our approach is based on the quantum Knizhnik-Zamolodchikov framework and the quantum Yang-Baxter algebra. We demonstrate that the dynamics is integrable for a class of exchange couplings $J(t)$ of the form $λt + p(t) \pm \sqrt{(λt + p(t))^2 + 4/3}$, where $p(t)$ is an arbitrary periodic function, and construct the corresponding many-body wavefunction. We also discuss extensions to other one-dimensional integrable models with linear dispersion, such as Gross-Neveu and Thirring. Our results broaden the domain of time-dependent integrability to a genuinely quantum class of models and provide a new platform for exploring coherent nonequilibrium dynamics in strongly correlated systems. |
| title | Exact many-body wavefunction of the Kondo model with time-dependent interaction strength |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.05640 |