Quantum simulation using Trotterized disorder Hamiltonians in a single-mode optical cavity
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908714354606080 |
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| author | Baumgartner, Rahel Lea Pelliconi, Pietro Bandyopadhyay, Soumik Orsi, Francesca Hauke, Philipp Brantut, Jean-Philippe Sonner, Julian |
| author_facet | Baumgartner, Rahel Lea Pelliconi, Pietro Bandyopadhyay, Soumik Orsi, Francesca Hauke, Philipp Brantut, Jean-Philippe Sonner, Julian |
| contents | All-to-all interacting and disordered many-body systems are notoriously hard to simulate on quantum platforms, as interactions are commonly mediated by auxiliary degrees of freedom that lower the amount of disorder, introducing undesired correlations. In this work, we show how a Trotterization scheme can be effectively utilized to densify the disorder of the model. In particular, we study the statistical properties of the resulting model, as well as Trotterization errors in the simulation that affect the time evolution and dynamical observables. As a concrete example, we propose an implementation via a single-mode cavity QED platform of the complex Sachdev-Ye-Kitaev model. We analyze several features of the effective model, such as the distribution of the effective couplings, the number of interacting sites, state preparation, and the behavior of quantum chaos probes. We conclude this work with a detailed investigation of the robustness of our findings against dissipation, both analytically and numerically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13774 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum simulation using Trotterized disorder Hamiltonians in a single-mode optical cavity Baumgartner, Rahel Lea Pelliconi, Pietro Bandyopadhyay, Soumik Orsi, Francesca Hauke, Philipp Brantut, Jean-Philippe Sonner, Julian Quantum Physics Quantum Gases Strongly Correlated Electrons High Energy Physics - Theory All-to-all interacting and disordered many-body systems are notoriously hard to simulate on quantum platforms, as interactions are commonly mediated by auxiliary degrees of freedom that lower the amount of disorder, introducing undesired correlations. In this work, we show how a Trotterization scheme can be effectively utilized to densify the disorder of the model. In particular, we study the statistical properties of the resulting model, as well as Trotterization errors in the simulation that affect the time evolution and dynamical observables. As a concrete example, we propose an implementation via a single-mode cavity QED platform of the complex Sachdev-Ye-Kitaev model. We analyze several features of the effective model, such as the distribution of the effective couplings, the number of interacting sites, state preparation, and the behavior of quantum chaos probes. We conclude this work with a detailed investigation of the robustness of our findings against dissipation, both analytically and numerically. |
| title | Quantum simulation using Trotterized disorder Hamiltonians in a single-mode optical cavity |
| topic | Quantum Physics Quantum Gases Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.13774 |