Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914254028800000 |
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| author | Kim, Chaebin Mourigal, Martin |
| author_facet | Kim, Chaebin Mourigal, Martin |
| contents | We simulate the dynamical spin structure factor (DSSF) $\mathcal{S}({q},ω)$ of the spin-1/2 Heisenberg antiferromagnetic chain using classical simulations. By employing Landau-Lifshitz Dynamics, we emulate quantum correlations through temperature-dependent corrections, including rescaling of magnetic dipoles and renormalization of exchange interactions. Our results closely match Quantum Monte-Carlo calculations for $k_{\rm B}T/J\!\gtrsim\!1$, extending the applicability of classical dynamics to the challenging case of gapless excitations. At higher temperatures, our simulations comply with general predictions for uncorrelated paramagnetic fluctuations in the infinite temperature limit. Entanglement witnesses derived from the quantum-equivalent DSSF act as sensitive diagnostics for the quantum-to-classical crossover. Their reliability stems from their dependence on spectral features alone, enabling classical dynamics to emulate quantum thresholds without genuine entanglement. This framework also reproduces transverse spin correlations in finite magnetic fields, in agreement with quantum simulations. Together, our results establish quantum-corrected classical dynamics as a scalable and predictive tool for interpreting scattering experiments and exploring quantum correlations in strongly correlated spin systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain Kim, Chaebin Mourigal, Martin Strongly Correlated Electrons Materials Science We simulate the dynamical spin structure factor (DSSF) $\mathcal{S}({q},ω)$ of the spin-1/2 Heisenberg antiferromagnetic chain using classical simulations. By employing Landau-Lifshitz Dynamics, we emulate quantum correlations through temperature-dependent corrections, including rescaling of magnetic dipoles and renormalization of exchange interactions. Our results closely match Quantum Monte-Carlo calculations for $k_{\rm B}T/J\!\gtrsim\!1$, extending the applicability of classical dynamics to the challenging case of gapless excitations. At higher temperatures, our simulations comply with general predictions for uncorrelated paramagnetic fluctuations in the infinite temperature limit. Entanglement witnesses derived from the quantum-equivalent DSSF act as sensitive diagnostics for the quantum-to-classical crossover. Their reliability stems from their dependence on spectral features alone, enabling classical dynamics to emulate quantum thresholds without genuine entanglement. This framework also reproduces transverse spin correlations in finite magnetic fields, in agreement with quantum simulations. Together, our results establish quantum-corrected classical dynamics as a scalable and predictive tool for interpreting scattering experiments and exploring quantum correlations in strongly correlated spin systems. |
| title | Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain |
| topic | Strongly Correlated Electrons Materials Science |
| url | https://arxiv.org/abs/2503.19975 |