Simulating Quantum Field Theories with Boundaries in Curved Spacetimes Using Open Spin Systems
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910027899469824 |
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| author | Kinoshita, Shunichiro Murata, Keiju Yamamoto, Daisuke Yoshii, Ryosuke |
| author_facet | Kinoshita, Shunichiro Murata, Keiju Yamamoto, Daisuke Yoshii, Ryosuke |
| contents | We develop a framework to simulate quantum field theories (QFTs) with boundaries in $(1+1)$-dimenmsional curved spacetimes by employing open spin systems. Building upon our previous work that established a mapping from spin systems to QFTs in periodic geometries, we extend the correspondence to systems with boundaries, where boundary conditions play a crucial role in shaping the dynamics. Focusing on Majorana fermions, we derive the allowed boundary conditions from the requirement of inner product conservation and formulate their realization in spin systems. The corresponding spin model is shown to reproduce boundary conditions of QFT accurately when a free function in the spin model is appropriately chosen. As an explicit demonstration, we analyze a flat spacetime example, comparing spectra, mode functions, and linear responses between the continuum and lattice descriptions. Our findings confirm that open spin systems can successfully replicate QFT dynamics with boundaries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_17935 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simulating Quantum Field Theories with Boundaries in Curved Spacetimes Using Open Spin Systems Kinoshita, Shunichiro Murata, Keiju Yamamoto, Daisuke Yoshii, Ryosuke High Energy Physics - Theory Quantum Gases Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics We develop a framework to simulate quantum field theories (QFTs) with boundaries in $(1+1)$-dimenmsional curved spacetimes by employing open spin systems. Building upon our previous work that established a mapping from spin systems to QFTs in periodic geometries, we extend the correspondence to systems with boundaries, where boundary conditions play a crucial role in shaping the dynamics. Focusing on Majorana fermions, we derive the allowed boundary conditions from the requirement of inner product conservation and formulate their realization in spin systems. The corresponding spin model is shown to reproduce boundary conditions of QFT accurately when a free function in the spin model is appropriately chosen. As an explicit demonstration, we analyze a flat spacetime example, comparing spectra, mode functions, and linear responses between the continuum and lattice descriptions. Our findings confirm that open spin systems can successfully replicate QFT dynamics with boundaries. |
| title | Simulating Quantum Field Theories with Boundaries in Curved Spacetimes Using Open Spin Systems |
| topic | High Energy Physics - Theory Quantum Gases Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2602.17935 |