Quantum simulation of the Sachdev-Ye-Kitaev model using time-dependent disorder in optical cavities
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arXiv
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| Format: | Preprint |
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2024
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| author | Baumgartner, Rahel Pelliconi, Pietro Bandyopadhyay, Soumik Orsi, Francesca Sauerwein, Nick Hauke, Philipp Brantut, Jean-Philippe Sonner, Julian |
| author_facet | Baumgartner, Rahel Pelliconi, Pietro Bandyopadhyay, Soumik Orsi, Francesca Sauerwein, Nick Hauke, Philipp Brantut, Jean-Philippe Sonner, Julian |
| contents | The Sachdev--Ye--Kitaev (SYK) model is a paradigm for extreme quantum chaos, non-Fermi-liquid behavior, and holographic matter. Yet, the dense random all-to-all interactions that characterize it are an extreme challenge for realistic laboratory realizations. Here, we propose a general scheme for densifying the coupling distribution of random disorder Hamiltonians, using a Trotterized cycling through sparse time-dependent disorder realizations. To diagnose the convergence of sparse to dense models, we introduce an information-theory inspired diagnostic. We illustrate how the scheme can come to bear in the realization of the complex SYK$_4$ model in cQED platforms with available experimental resources, using a single cavity mode together with a fast cycling through independent speckle patterns. The simulation scheme applies to the SYK class of models as well as spin glasses, spin liquids, and related disorder models, bringing them into reach of quantum simulation using single-mode cavity-QED setups and other platforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17802 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum simulation of the Sachdev-Ye-Kitaev model using time-dependent disorder in optical cavities Baumgartner, Rahel Pelliconi, Pietro Bandyopadhyay, Soumik Orsi, Francesca Sauerwein, Nick Hauke, Philipp Brantut, Jean-Philippe Sonner, Julian Quantum Physics Quantum Gases Strongly Correlated Electrons High Energy Physics - Theory The Sachdev--Ye--Kitaev (SYK) model is a paradigm for extreme quantum chaos, non-Fermi-liquid behavior, and holographic matter. Yet, the dense random all-to-all interactions that characterize it are an extreme challenge for realistic laboratory realizations. Here, we propose a general scheme for densifying the coupling distribution of random disorder Hamiltonians, using a Trotterized cycling through sparse time-dependent disorder realizations. To diagnose the convergence of sparse to dense models, we introduce an information-theory inspired diagnostic. We illustrate how the scheme can come to bear in the realization of the complex SYK$_4$ model in cQED platforms with available experimental resources, using a single cavity mode together with a fast cycling through independent speckle patterns. The simulation scheme applies to the SYK class of models as well as spin glasses, spin liquids, and related disorder models, bringing them into reach of quantum simulation using single-mode cavity-QED setups and other platforms. |
| title | Quantum simulation of the Sachdev-Ye-Kitaev model using time-dependent disorder in optical cavities |
| topic | Quantum Physics Quantum Gases Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.17802 |