Observation of anisotropy-independent magnetization dynamics in spatially disordered Heisenberg spin systems
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arXiv
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| Autori principali: | , , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866914959125905408 |
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| author | Franz, Titus Geier, Sebastian Hainaut, Clément Braemer, Adrian Thaicharoen, Nithiwadee Hornung, Moritz Braun, Eduard Gärttner, Martin Zürn, Gerhard Weidemüller, Matthias |
| author_facet | Franz, Titus Geier, Sebastian Hainaut, Clément Braemer, Adrian Thaicharoen, Nithiwadee Hornung, Moritz Braun, Eduard Gärttner, Martin Zürn, Gerhard Weidemüller, Matthias |
| contents | An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally observe such robust features in the magnetization relaxation dynamics of disordered Heisenberg XX-, XXZ- and Ising Hamiltonians. We realize these Heisenberg spin models with tunable anisotropy parameter and power-law interactions in an ensemble of Rydberg atoms by encoding the spin in suitable Rydberg state combinations. We consistently observe stretched-exponential relaxation of magnetization for all considered spin models, collapsing onto a single curve after appropriate rescaling of time. This robust short-time relaxation behavior is explained by a perturbative treatment that exploits the strong disorder in pairwise couplings, which leads to a description in terms of approximately independent pairs of spins. In numerical simulations of small systems, we show that these pairs of spins constitute approximate local integrals of motion, which remain at least partially conserved on a timescale exceeding the duration of the relaxation dynamics of the magnetization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_08080 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Observation of anisotropy-independent magnetization dynamics in spatially disordered Heisenberg spin systems Franz, Titus Geier, Sebastian Hainaut, Clément Braemer, Adrian Thaicharoen, Nithiwadee Hornung, Moritz Braun, Eduard Gärttner, Martin Zürn, Gerhard Weidemüller, Matthias Quantum Physics Atomic and Molecular Clusters An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally observe such robust features in the magnetization relaxation dynamics of disordered Heisenberg XX-, XXZ- and Ising Hamiltonians. We realize these Heisenberg spin models with tunable anisotropy parameter and power-law interactions in an ensemble of Rydberg atoms by encoding the spin in suitable Rydberg state combinations. We consistently observe stretched-exponential relaxation of magnetization for all considered spin models, collapsing onto a single curve after appropriate rescaling of time. This robust short-time relaxation behavior is explained by a perturbative treatment that exploits the strong disorder in pairwise couplings, which leads to a description in terms of approximately independent pairs of spins. In numerical simulations of small systems, we show that these pairs of spins constitute approximate local integrals of motion, which remain at least partially conserved on a timescale exceeding the duration of the relaxation dynamics of the magnetization. |
| title | Observation of anisotropy-independent magnetization dynamics in spatially disordered Heisenberg spin systems |
| topic | Quantum Physics Atomic and Molecular Clusters |
| url | https://arxiv.org/abs/2209.08080 |